OURSEL Luc

 OURSEL Luc

07 Sep 1959 GREG    CAL
monday GREG
 | lat 48° 50' 0" | N 2°14' E
Boulogne-Billancourt
---------------------------------
natal 9h 10'
lmt 22h 1' 4"
tu 8h 10' 0"
tsn 7h 21' 34"
---------------------------------
timezone
Equation of time -0h 1' 43"
ΔT 0h 0' 38"
---------------------------------

source : https://www.astrotheme.fr/astrologie/Luc_Oursel / - Didier Geslain

Luc Marie Bernard Oursel, (7 September 1959 – 3 December 2014),was the former chairman of the board of the nuclear company Areva and member of its executive committee. He resigned on 20 October 2014 for health reasons six weeks before his death, which occurs on December 3 from pancreatic cancer.

THEME

SU is P with a -7 score
MO is F with a 0 score
VE is F and retrograde with a -11 score
JU is P with a -12 score

MA is R/Ex D with a -14 score
we see that moreover, MA is in mutual reception by exaltation with SA which is in this case an unfortunate circumstance (cf, Abumashar, The Great Introduction to Astrology, Burnett Charles, Yamamoto Keiji, vol I, part VII, 785, 2019, Brill
SA is in his nocturnal domicile (CAP) so we don't count it as ruler sign with a 2 score
Moreover, SA is in mutual reception by exaltation with MA which is an unfortunate circumstance (cf, Morin de Villefranche, Astrologia gallica, book XVII, cap VII, 39-51, La Haye, 1636)

we see below the list of aspects :
---------------------------------------
MO 60 SU Or        VE 0 ME Or          SA 120 ME Or          SA 120 VE Or      SA 90 MA Or    
---------------------------------------
The best aspect is  [best :me 0° (4) ve]  and the worst aspect is  [worst :ma 90° (-1,91) sa]
We find that not only MA  and SA are in mutual reception but moreover they exchange an aspect : 90° ; it is a square by mutual exaltation and this 'double' aspect may be aggressive

The traditional almuten (Omar, Ibn Ezra) is VE
we see below the list of dignities for VE :
---------------------------------------
[ term 3 tri 3 rul 1 exn 0 fac 3 ]
[ su 3 mo 3 asc 1 syg 3 pof 0 ]
---------------------------------------
Note 1 : the ‘almuten figuris’ is the lord of the chart, but its determination obeys somewhat different rules according to the schools. The tradition is based above all on the zodiacal dignities. (see p,e,  Alcabitius, Introduction, 59-61, 117 and Avenezra, Nativites, 101) – almuten = al-mu’tazz (arabic term)
[7] As for the governor which is the <planet> predominating (al-mubtazz) over the birth from which one indicates the conditions of the native after the haylāğ and the kadhudāh,n it is the planet having the most leadership in the ascendant, the position<s> of the two luminaries, the position of the Lot of Fortune and the position of the degree of the conjunction or opposition which precedes the birth. When a planet has mastery over two, three or four positions by the abundance of its shares in them, it is the governor and the predominant <planet> (al-mubtazz) and the indicator after the haylāğ and the kadhudāh. From it one indicates the conditions of the native. Some people use it instead of the kadhudāh in giving life.  [Al-Qabisi , Charles Burnett, Keji Yamamoto, Michio Yano, The Introduction to Astrology, IV, 7, p, 117, Warburg, 2004]
Note 2 : There are at least 4 systems for determining the almuten depending on whether the combinations of triplicities and terms are used: the Ptolemaic almuten (followed by Lilly) with Ptolemaic terms ; the same with Egyptian terms; the almuten of Dorotheus with Ptolemaic terms ; the same with Egyptian terms, knowing that one can embellish the whole thing with different weighting system (like Lilly or not using weights like Montanus) [cf. Temperament: Astrology's Forgotten Key, p. 79, Dorian Gieseler Greenbaum 2005]

The Lilly (Ptolemaïc) almuten is MO

In our experience, it seems that Ptolemy's almuten allows one to first appreciate the static side of the natal chart and that the Lilly-type elaboration allows one to deepen the more ‘temporary’ or ‘dynamic ‘ relationships (cf, Shlomo Sela, Ibn Ezra, on Nativities and Continuous Horoscopy, appendix 6, quot 2  ; Horary astrology p, 458, Brill, 2014)

Hyleg – alchocoden – domification REGIOMONTANUS,

In the upper chart we see that the nativity is diurnal (or nocturnal) and the moon is waxing (waning). This immediately makes it possible to orient the search for the hyleg towards SU or MO. We then seek the point which is both in Ptolemaic aspect and in dignity with the hyleg. This is the alchocoden. In the lower table, information is given on the alchocoden point (including dignity, power, retrograde, the house situation and especially the important fact of knowing if the alchocoden point is within 5° of the next cusp, in which case it must be removed (or added if he is retrograde) a certain number of degrees (life points). Finally, it may be necessary to add points depending on the place of JU and VE in relation to the upper meridian or the rising.

ZODIACAL – MUNDANE

In our research, we hypothesized that the mundane chart alone should be considered; also we must base on the aspects taken in the semiarcs the research of the degrees likely to be considered in the duration of the life.
In the case of OURSEL Luc we have the table above which allows us to estimate the breakdown of aspects between the different planets and the alchocoden.
When considering a theme, the first thing is to observe whether it is diurnal or nocturnal. In the case of OURSEL Luc, it is DIURNAL.
In this case, the first point to check is SU. If  SU is well disposed, it can claim 1st stage to be HYLEG.

SU is P and therefore seems weak, with a dignity score of -1,
Moreover, when we look for the dignities that appear in the zodiacal inscription of MO, we find none.
We'll see later what we get when we search for mundane dignities.
Now that we doubt to take SU as hyleg, we are left with the choice of ASC and that of POF. It is the way in which is laid out MO which will indicate the choice to us. If MO is waxing, we take ASC for hyleg ; if MO is waning, we take POF for hyleg,

It turns out that MO is waxing; so we will take ASC,
Now we must look for the alchocoden: it is the planet which has the maximum dignity with regard to the hyleg and which exchanges a Ptolemaic aspect with the hyleg.
If we see the ZODIACAL system, it turns out that we find none aspect to ASC. if we consider the ZODIACAL system, we observe a square aspect of SU.
At the same time, it appears that SU has  dignity of TRI over ASC.
So we have two possibilities with our hypothesis : first choose POF for hyleg ; second choose the MUNDANE system and try to find another couple of hyleg/alchocoden,
 If we choose now POF we must know that Dorotheus and Al Qabisi, but no Ptolemy, agree with this choice, in the absence of the possibility of taking the ASC into account.)
In case of POF is the Hyleg, there is then one candidate to be the alchocoden:SU
First, SU is linked with POF by an square aspect and a TRI dignity,
However, SU is P and has a power of -7, SU has a Kadkhudah score of 2
SU is located at 150 at more than 5°  (16,04°) from the next (cad) cusp
Now, we have to take account of the radix zodiacal aspects,
------------------------------------
 MO 60 SU: 1,25    
------------------------------------
Without any change, we find with SU as Kadhkhudah : Y = 69 as a result of SU SUCCEDENT years
But as SU is P, following William Lilly in Christian astrology, p, 115 (London, 1647) on his table of Fortitudes and debilities, we remove 1/5 of his value, ie -13,8
------------------------------------
So, zodiacal Y =56,45
------------------------------------

 MUNDANE DIRECTIONS

Below, you’ll see the ‘true’ converse ‘modern’ directions (see Leo, the progressed horoscope 1923 ; Pearce, the text-book of astrology 1911) - A true converse direction means a point that is directed towards an aspect (ie when an aspect is directed to the conjunction of a planet by the  primum mobile) – cf, Placidus, thesis 33, 59, (ex tertio Libro Physiomathematica sive Coelesti Philosophia, Mediolani 1647, 1650) in Tabulae Primi Mobilis... Patavii, 1657 - according to the ancient terminology, when the planets are "moving forward" (in the direction of the diurnal movement, "in the direction of the leading signs," or east to west) they are "retreating" with respect to their (west to east) motion in their own orbits; cf. Bouché-Leclercq, p 429, 1 [in Tetrabiblos published in the Loeb Classical Library, 1940]
------------------------------------------------------
CMEMA orb 271,52 asp □ - CSAMO orb -0,52 asp C -  □MAME orb 181 asp □
------------------------------------------------------
Here appear the converse directions (in the ‘modern’ sense of the term) for the event corresponding to the year .1991,  i.e. for planets or aspects 'moving'  i.e. flowing from the West to the East, which we do not retain. Moreover, the question is not resolved (is it anyway?). We can consult Bouché-Leclercq on this ('L’Astrologie Grecque', p. chap XII, p. 418 n. 2, 1899, Leroux), : 'The apheta once found, following laborious comparisons, it is necessary to determine the direction in which it launches life, to from its aphetic place; straight direction, i.e. conforming to the proper motion of the planets, when it follows the series of signs, retrograde when it follows the diurnal motion".
We find in this last sentence what is perhaps the key to the question: indeed, when we say 'when the planets follow the order of the signs' it is a direct reference to the ecliptic which precisely has nothing to do with diurnal motion. Now, it is precisely the examination of the diurnal movement which is at the base of the system of the primary directions. The 'retrograde direction' for its part refers expressly to the diurnal movement and is in conformity with the doctrine. We can therefore see that there was progressively, and particularly from the 18th century onwards, a nonsense which was introduced by considering the converse direction as an antenatal, whereas the retrograde direction is that of the primum mobile.

 

DIRECTION : ꝏSA conj VE
---------------------------------
We must take into account an important element: the ascensional difference (DA); it can be observed on the  graph in a dotted line (measured between the horizon and the axis of the pole). This is the difference between Right Ascension (AR) and Oblique Ascension (OA). This is the difference between Right Ascension (AR) and Oblique Ascension (OA). DA is always calculated in absolute value |DA| and it is added or subtracted from 90° (SA = 90° corresponds to a point on the equator cut by the horizon; depending on whether a star approaches or moves away from the line of horizon, SA is > 90° or < 90°, i,e, (+) depending on whether it is diurnal and northern ; or nocturnal and southern ; (-) depending on whether it is diurnal and southern ; or nocturnal and northern.

sin(DA) = -tan(φ)tan(δ)
φ = latitude 48,83 N
δ VE = 1,93 +
DA-VE = 2,21°
δ ꝏSA =22,67 +
DA-ꝏSA =28,54°

We will first use the Placidus system of mundane directions. The simplest system is that of Choisnard-Fomalhaut. First you need to retrieve the data from the SA (semi-arc) and the DM (meridian distance) of the diurnal point because the altitude of VE is 30,52°. important note: the SA and DM of the two points are always counted diurnal if the first point (here VE) is above the horizon even if the second is below. They are counted nightly if the first point (VE) is below the horizon regardless of the position of the second point.
For DMs, they are counted in AR from the diurnal meridian if the fixed point VE is diurnal, and from the nocturnal meridian if it is nocturnal.

diurnal meridian MC = 110,39°
AR VE = 153,22°
AR ꝏSA = 90,5°

SA D (d+) VE=92,21°
DM D  VE=42,83°

For the  significator  ꝏSA altitude (h) =59,47°. so :

SA D (δ+) ꝏSA=118,54°
DM D ꝏSA=-19,89°

Then we compute Saf/DMf (so : SA f [92,21°] / DM f [42,83°])

Sa f / DM f =2,15

and the angle x = SAm x DM f/SA f, so : SA m [118,54°] x DM f [42,83°]/SA f [92,21°]

 x = 55,05°

We find the direction by DMm - x, so : DM m [-19,89°] ± x [55,05]
We must now have regard to the double ± sign of the last expression; in the case where f (VE) and m (ꝏSA) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DMm and x. this is the case here so sign = (-)
the computation of the arc requires, depending on the case, a reduction of 360° (so arc modulo 360°)
---------------------------------
arc D =74,94°
---------------------------------
in the technical sense, It is a direct direction but in the astrological sense, it is a true converse direction since it is an aspect considered as a promissor which goes towards the significator. ; so the m point is an aspect (here ꝏSA) and the f point is a planet or an axis, (here VE)

We can now compute the converse direction : point f is directed towards point m, i.e. the star is directed towards the aspect. This is where the problem of the orientation of the primum mobile arises because it is not concevable to rotate the local sphere in both directions… It does not seem convenient to postulate that the arc of direction is counted in the order of the signs of the zodiac (when it is direct, i.e. when one directs a promissor towards a significator): indeed, the ecliptic has nothing to do with a direction since this one depends only on the diurnal movement ( primum mobile). It is therefore otherwise that we must pass judgment on this.

That time, we compute Sa m / DM m (so : SA m [118,54°] / DM f [-19,89°])

Sa m / DM m =-5,96

and the angle x = SA f x DM m/SA m, so : SA f [92,21°] x DM m [-19,89°] / SA m [118,54°]

x = 15,47°

We find the direction by DM f - x, so : DM f [42,83°] ± x [15,47°]
We must now have regard to the double ± sign of the last expression; in the case where m (ꝏSA) and f (VE) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DM f and x. this is the case here : so, signe = (+)
---------------------------------
arc C =58,3°
---------------------------------
Now we can study the same direction with the Regiomontanus system. To obtain the arc of direction between two signifying points (planets in body, aspect versus planet, planet versus axis) one must find AO (oblique ascent) of f and of m, calculated under the pole of f.
The formulas to use can be found either in the Dictionnaire astrologique of Henri Joseph Gouchon (Dervy Livres, 1937) pp. 266-267, or in his Horoscope annuel simplifié (Dervy, 1973) p.181. Other formulas can be found in Les moyens de pronostic en astrologie, Max Duval (editions traditionnelles, 1986) and Domification et transits (Editions traditionnelles, 1985). We can also cite by André Boudineau : Les bases scientifiques de l’astrologie (Chacornac, 1937) These are references in French but there are many other references in English or German of a less obvious but equally valid use.

First, compute the ascensional difference under f (VE) : cot DAP f = (cot de f x cot lat) / in DM f ± cot DM f, i,e, :  cot (DAP f) = (Cot dec f[1,93°] x Cot Lat [48,83°]) /sin DM f [42,83°] ± cot DM f  [42,83°]

DAPf = 1,46°

We find the pole of f (VE) by formula : tan(pole f) = sin (DAP f) x cot (dec f) i,e, tan(pole f) = tan f [178,54°] x cot f [1,93°]

pole VE regio  =37,14°

(1) We need now the DAP of m (ꝏSA) under the pole of f, sin (DAP m) = tan (pole f) x tan (DEC m), i,e, : (VE) : sin (DAPm/f) = tan [37,08°] x tan [22,67°]

DAP m/f = 18,4°

then we find for the points located in the eastern part of the chart : AO f = AR f± DAP f ; sign (+) if Dec f boreal or sign (–) if Dec f Austral ; so : AO f VE = 154,68° and AO m = AR m ± DAP m ; idem for sign ; so  AO mꝏSA = 108,91°

---------------------------------
arc D Regio = 79,66°
---------------------------------
We are now going to compute the converse Regiomontanus direction corresponding to the arc  f VE / p ꝏSA

First, compute the ascensional difference under m (ꝏSA) : cot DAPm = (cot dec m x cot lat)/sin DM m ± cot DM m, i,e, :  Cot(DAP m) = (Cot decm[22,67°] x Cot Lat [48,83°]) / Sin DM f [19,89°] ± Cot DM m [19,89°]

DAP m = 6,4°

We find the pole of m (ꝏSA) by formula : Tan(pole m) = Sin (DAP m) x Cot (dec m) i,e, Tan(pole m) = Sin m [173,6°] x Cot m [22,67°]

pole ꝏSA regio  =14,94°

We need now the DAP of f (VE) under the pole of m, Sin (DAP f) = Tan (pole m) x Tan (DEC f), i,e, : (ꝏSA) : Sin (DAP f/m) = Tan[14,94°] x Tan [1,93°]

DAP f/m = 0,52°

then we find for the points located in the eastern part of the chart : AO m = AR m ± DAP m ; sign (+) if Dec m boreal or sign (–) if Dec m Austral ; so : AO m ꝏSA = 97° and AO f = AR f ± DAP f ; idem for sign ; so  AO f VE = 153,74°

---------------------------------
arc C Regio = 56,84°
---------------------------------
H.J. Gouchon [l’Horoscope Annuel simplifié, Dervy, 1973, p, 181-182 and Dictionnaire astrologique, p, 277, 1937-1942, Gouchon ed., 1975, Dervy, but be careful because in DAP's equation, the double sign ± was mistakenly replaced by the sign (-) ] advises to avoid errors, to always place the star A1 (for us f, i.e. SU) in the eastern houses; in fact it is enough to change the registration number of the house based on the transformation (IV-V-VI) -> (X-XI-XII) and (VII-VIII-IX) -> (I-II-III ) to adapt the double sign ± in the calculation of DAP f or DAP m; moreover, this sign must be reversed if |DM| > 90°.

For the Regiomontanus directions, there is another mode of computing, mentioned by Gouchon (Dictionnaire astrologique, op. cit., p. 276) and especially Martin Gansten (Primary directions, pp. 155-157, the Wessex Astrologer, 2009)
This method consists at computing first 3 auxiliary angles before  the pole. It then joins the other method. Contrary to what Gouchon says, I find it easier than the previous one because we avoid the double sign ± in the determination of DAP f.

So, initially, we have A => Tan f = tan dec f [1,93°] / cos DM f [42,83°]

A = 2,63°

Then : B = Lat [48,83°] + A [-2,63°]

B = 46,2°

And, Tang C = Cot DM f [42,83°] x Cos B [46,2°] / Cos A [-2,63°]

C = 36,78°

Then, we have Sin pole f = Cos C [36,78°] x  Sin LG [48,83°]
---------------------------------
So, pole VE regio = 37,08°
---------------------------------
Now go back to (1)

For m ꝏSA; we have : A => Tan m = tan dec m [22,67°] / cos DM m [19,89°]

A = 23,95°

Then : B = Lat [48,83°] + A [-23,95°]

B = 24,88°

And, Tang C = Cot DM m [19,89°] x Cos B [24,88°] / Cos A [-23,95°]

C = -69,97°

Then, we have Sin pole m = Cos C [-69,97°] x  Sin LG [48,83°]
---------------------------------
So, pole ꝏSA regio = 14,94°
---------------------------------
Now go back to (1)

DIRECTION : □SA conj MO
---------------------------------
We must take into account an important element: the ascensional difference (DA); it can be observed on the  graph in a dotted line (measured between the horizon and the axis of the pole). This is the difference between Right Ascension (AR) and Oblique Ascension (OA). This is the difference between Right Ascension (AR) and Oblique Ascension (OA). DA is always calculated in absolute value |DA| and it is added or subtracted from 90° (SA = 90° corresponds to a point on the equator cut by the horizon; depending on whether a star approaches or moves away from the line of horizon, SA is > 90° or < 90°, i,e, (+) depending on whether it is diurnal and northern ; or nocturnal and southern ; (-) depending on whether it is diurnal and southern ; or nocturnal and northern.

sin(DA) = -tan(φ)tan(δ)
φ = latitude 48,83 N
δ MO = -12,49 -
DA-MO = 14,67°
δ □SA =2,21 +
DA-□SA =2,53°

We will first use the Placidus system of mundane directions. The simplest system is that of Choisnard-Fomalhaut. First you need to retrieve the data from the SA (semi-arc) and the DM (meridian distance) of the nocturnal point because the altitude of MO is -23,01°. important note: the SA and DM of the two points are always counted diurnal if the first point (here MO) is above the horizon even if the second is below. They are counted nightly if the first point (MO) is below the horizon regardless of the position of the second point.
For DMs, they are counted in AR from the diurnal meridian if the fixed point MO is diurnal, and from the nocturnal meridian if it is nocturnal.

nocturnal meridian MC = 290,39°
AR MO = 221,19°
AR □SA = 181,46°

 = 104,67°
DM N  MO = -69,21°

For the  significator  □SA altitude (h) =14,03°. so :

SA N (δ+) □SA = 87,47°
DM N  □SA = -108,93°

Then we compute Saf/DMf (so : SA f [ 104,67°] / DM f [ -69,21°])

Sa f / DM f =1,51

and the angle x = SAm x DM f/SA f, so : SA m [ 87,47°] x DM f [ -69,21°]/SA f [ 104,67°]

 x = -57,83°

We find the direction by DMm - x, so : DM m [ -108,93°] ± x [-57,83]
We must now have regard to the double ± sign of the last expression; in the case where f (MO) and m (□SA) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DMm and x. This is not the case here, so sign = (+)
the computation of the arc requires, depending on the case, a reduction of 360° (so arc modulo 360°)
---------------------------------
arc D =51,1°
---------------------------------
in the technical sense, It is a direct direction but in the astrological sense, it is a true converse direction since it is an aspect considered as a promissor which goes towards the significator. ; so the m point is an aspect (here □SA) and the f point is a planet or an axis, (here MO)

We can now compute the converse direction : point f is directed towards point m, i.e. the star is directed towards the aspect. This is where the problem of the orientation of the primum mobile arises because it is not concevable to rotate the local sphere in both directions… It does not seem convenient to postulate that the arc of direction is counted in the order of the signs of the zodiac (when it is direct, i.e. when one directs a promissor towards a significator): indeed, the ecliptic has nothing to do with a direction since this one depends only on the diurnal movement ( primum mobile). It is therefore otherwise that we must pass judgment on this.

That time, we compute Sa m / DM m (so : SA m [ 87,47°] / DM f [ -108,93°])

Sa m / DM m =-1,3

and the angle x = SA f x DM m/SA m, so : SA f [ 104,67°] x DM m [ -108,93°] / SA m [ 87,47°]

x = 57,86°

We find the direction by DM f - x, so : DM f [ -69,21°] ± x [57,86°]
We must now have regard to the double ± sign of the last expression; in the case where m (□SA) and f (MO) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DM f and x. This is not the case here, so sign = (-)
---------------------------------
arc C =52,94°
---------------------------------
Now we can study the same direction with the Regiomontanus system. To obtain the arc of direction between two signifying points (planets in body, aspect versus planet, planet versus axis) one must find AO (oblique ascent) of f and of m, calculated under the pole of f.
The formulas to use can be found either in the Dictionnaire astrologique of Henri Joseph Gouchon (Dervy Livres, 1937) pp. 266-267, or in his Horoscope annuel simplifié (Dervy, 1973) p.181. Other formulas can be found in Les moyens de pronostic en astrologie, Max Duval (editions traditionnelles, 1986) and Domification et transits (Editions traditionnelles, 1985). We can also cite by André Boudineau : Les bases scientifiques de l’astrologie (Chacornac, 1937) These are references in French but there are many other references in English or German of a less obvious but equally valid use.

First, compute the ascensional difference under f (MO) : cot DAP f = (cot de f x cot lat) / in DM f ± cot DM f, i,e, :  cot (DAP f) = (Cot dec f[-12,49°] x Cot Lat [48,83°]) /sin DM f [69,21°] ± cot DM f  [69,21°]

DAPf = 165,42°

We find the pole of f (MO) by formula : tan(pole f) = sin (DAP f) x cot (dec f) i,e, tan(pole f) = tan f [12,26°] x cot f [-12,49°]

pole MO regio  =-43,78°

(1) We need now the DAP of m (□SA) under the pole of f, sin (DAP m) = tan (pole f) x tan (DEC m), i,e, : (MO) : sin (DAPm/f) = tan [43,79°] x tan [2,21°]

DAP m/f = 2,12°

then we find for the points located in the eastern part of the chart : AO f = AR f± DAP f ; sign (+) if Dec f boreal or sign (–) if Dec f Austral ; so : AO f MO = 230,52° and AO m = AR m ± DAP m ; idem for sign ; so  AO m□SA = 183,59°

---------------------------------
arc D Regio = 54,1°
---------------------------------
We are now going to compute the converse Regiomontanus direction corresponding to the arc  f MO / p □SA

First, compute the ascensional difference under m (□SA) : cot DAPm = (cot dec m x cot lat)/sin DM m ± cot DM m, i,e, :  Cot(DAP m) = (Cot decm[2,21°] x Cot Lat [48,83°]) / Sin DM f [71,07°] ± Cot DM m [71,07°]

DAP m = 2,36°

We find the pole of m (□SA) by formula : Tan(pole m) = Sin (DAP m) x Cot (dec m) i,e, Tan(pole m) = Sin m [2,36°] x Cot m [2,21°]

pole □SA regio  =46,87°

We need now the DAP of f (MO) under the pole of m, Sin (DAP f) = Tan (pole m) x Tan (DEC f), i,e, : (□SA) : Sin (DAP f/m) = Tan[46,82°] x Tan [-12,49°]

DAP f/m = -13,65°

then we find for the points located in the eastern part of the chart : AO m = AR m ± DAP m ; sign (+) if Dec m boreal or sign (–) if Dec m Austral ; so : AO m □SA = 184° and AO f = AR f ± DAP f ; idem for sign ; so  AO f MO = 234,84°

---------------------------------
arc C Regio = 55,73°
---------------------------------
H.J. Gouchon [l’Horoscope Annuel simplifié, Dervy, 1973, p, 181-182 and Dictionnaire astrologique, p, 277, 1937-1942, Gouchon ed., 1975, Dervy, but be careful because in DAP's equation, the double sign ± was mistakenly replaced by the sign (-) ] advises to avoid errors, to always place the star A1 (for us f, i.e. SU) in the eastern houses; in fact it is enough to change the registration number of the house based on the transformation (IV-V-VI) -> (X-XI-XII) and (VII-VIII-IX) -> (I-II-III ) to adapt the double sign ± in the calculation of DAP f or DAP m; moreover, this sign must be reversed if |DM| > 90°.

For the Regiomontanus directions, there is another mode of computing, mentioned by Gouchon (Dictionnaire astrologique, op. cit., p. 276) and especially Martin Gansten (Primary directions, pp. 155-157, the Wessex Astrologer, 2009)
This method consists at computing first 3 auxiliary angles before  the pole. It then joins the other method. Contrary to what Gouchon says, I find it easier than the previous one because we avoid the double sign ± in the determination of DAP f.

So, initially, we have A => Tan f = tan dec f [-12,49°] / cos DM f [-69,21°]

A = -31,96°

Then : B = Lat [48,83°] + A [31,96°]

B = 16,87°

And, Tang C = Cot DM f [-69,21°] x Cos B [16,87°] / Cos A [31,96°]

C = -23,19°

Then, we have Sin pole f = Cos C [-23,19°] x  Sin LG [48,83°]
---------------------------------
So, pole MO regio = 43,78°
---------------------------------
Now go back to (1)

For m □SA; we have : A => Tan m = tan dec m [2,21°] / cos DM m [71,07°]

A = 6,78°

Then : B = Lat [48,83°] + A [-6,78°]

B = 42,05°

And, Tang C = Cot DM m [71,07°] x Cos B [42,05°] / Cos A [-6,78°]

C = -14,38°

Then, we have Sin pole m = Cos C [-14,38°] x  Sin LG [48,83°]
---------------------------------
So, pole □SA regio = 46,82°
---------------------------------
Now go back to (1)

DIRECTION : □MA conj MO
---------------------------------
We must take into account an important element: the ascensional difference (DA); it can be observed on the  graph in a dotted line (measured between the horizon and the axis of the pole). This is the difference between Right Ascension (AR) and Oblique Ascension (OA). This is the difference between Right Ascension (AR) and Oblique Ascension (OA). DA is always calculated in absolute value |DA| and it is added or subtracted from 90° (SA = 90° corresponds to a point on the equator cut by the horizon; depending on whether a star approaches or moves away from the line of horizon, SA is > 90° or < 90°, i,e, (+) depending on whether it is diurnal and northern ; or nocturnal and southern ; (-) depending on whether it is diurnal and southern ; or nocturnal and northern.

sin(DA) = -tan(φ)tan(δ)
φ = latitude 48,83 N
δ MO = -12,47 -
DA-MO = 14,65°
δ □MA =-23,2 -
DA-□MA =29,36°

We will first use the Placidus system of mundane directions. The simplest system is that of Choisnard-Fomalhaut. First you need to retrieve the data from the SA (semi-arc) and the DM (meridian distance) of the nocturnal point because the altitude of MO is -22,48°. important note: the SA and DM of the two points are always counted diurnal if the first point (here MO) is above the horizon even if the second is below. They are counted nightly if the first point (MO) is below the horizon regardless of the position of the second point.
For DMs, they are counted in AR from the diurnal meridian if the fixed point MO is diurnal, and from the nocturnal meridian if it is nocturnal.

nocturnal meridian MC = 290,39°
AR MO = 220,38°
AR □MA = 261,33°

 = 104,65°
DM N  MO = -70,01°

For the  significator  □MA altitude (h) =-55,63°. so :

 = 119,36°
DM N  □MA = -29,07°

Then we compute Saf/DMf (so : SA f [ 104,65°] / DM f [ -70,01°])

Sa f / DM f =1,49

and the angle x = SAm x DM f/SA f, so : SA m [ 119,36°] x DM f [ -70,01°]/SA f [ 104,65°]

 x = -79,85°

We find the direction by DMm - x, so : DM m [ -29,07°] ± x [-79,85]
We must now have regard to the double ± sign of the last expression; in the case where f (MO) and m (□MA) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DMm and x. This is not the case here, so sign = (+)
the computation of the arc requires, depending on the case, a reduction of 360° (so arc modulo 360°)
---------------------------------
arc D =-50,78°
---------------------------------
in the technical sense, It is a direct direction but in the astrological sense, it is a true converse direction since it is an aspect considered as a promissor which goes towards the significator. ; so the m point is an aspect (here □MA) and the f point is a planet or an axis, (here MO)

We can now compute the converse direction : point f is directed towards point m, i.e. the star is directed towards the aspect. This is where the problem of the orientation of the primum mobile arises because it is not concevable to rotate the local sphere in both directions… It does not seem convenient to postulate that the arc of direction is counted in the order of the signs of the zodiac (when it is direct, i.e. when one directs a promissor towards a significator): indeed, the ecliptic has nothing to do with a direction since this one depends only on the diurnal movement ( primum mobile). It is therefore otherwise that we must pass judgment on this.

That time, we compute Sa m / DM m (so : SA m [ 119,36°] / DM f [ -29,07°])

Sa m / DM m =0,79

and the angle x = SA f x DM m/SA m, so : SA f [ 104,65°] x DM m [ -29,07°] / SA m [ 119,36°]

x = -25,49°

We find the direction by DM f - x, so : DM f [ -70,01°] ± x [-25,49°]
We must now have regard to the double ± sign of the last expression; in the case where m (□MA) and f (MO) are on either side of the meridian, the direction arc is obtained by taking the sum (instead of the difference) of the two quantities DM f and x. This is not the case here, so sign = (-)
---------------------------------
arc C =44,53°
---------------------------------
Now we can study the same direction with the Regiomontanus system. To obtain the arc of direction between two signifying points (planets in body, aspect versus planet, planet versus axis) one must find AO (oblique ascent) of f and of m, calculated under the pole of f.
The formulas to use can be found either in the Dictionnaire astrologique of Henri Joseph Gouchon (Dervy Livres, 1937) pp. 266-267, or in his Horoscope annuel simplifié (Dervy, 1973) p.181. Other formulas can be found in Les moyens de pronostic en astrologie, Max Duval (editions traditionnelles, 1986) and Domification et transits (Editions traditionnelles, 1985). We can also cite by André Boudineau : Les bases scientifiques de l’astrologie (Chacornac, 1937) These are references in French but there are many other references in English or German of a less obvious but equally valid use.

First, compute the ascensional difference under f (MO) : cot DAP f = (cot de f x cot lat) / in DM f ± cot DM f, i,e, :  cot (DAP f) = (Cot dec f[-12,47°] x Cot Lat [48,83°]) /sin DM f [70,01°] ± cot DM f  [70,01°]

DAPf = 165,42°

We find the pole of f (MO) by formula : tan(pole f) = sin (DAP f) x cot (dec f) i,e, tan(pole f) = tan f [12,34°] x cot f [-12,47°]

pole MO regio  =-44,03°

(1) We need now the DAP of m (□MA) under the pole of f, sin (DAP m) = tan (pole f) x tan (DEC m), i,e, : (MO) : sin (DAPm/f) = tan [44,02°] x tan [-23,2°]

DAP m/f = -24,47°

then we find for the points located in the eastern part of the chart : AO f = AR f± DAP f ; sign (+) if Dec f boreal or sign (–) if Dec f Austral ; so : AO f MO = 230,6° and AO m = AR m ± DAP m ; idem for sign ; so  AO m□MA = 285,8°

---------------------------------
arc D Regio = -53,07°
---------------------------------
We are now going to compute the converse Regiomontanus direction corresponding to the arc  f MO / p □MA

First, compute the ascensional difference under m (□MA) : cot DAPm = (cot dec m x cot lat)/sin DM m ± cot DM m, i,e, :  Cot(DAP m) = (Cot decm[-23,2°] x Cot Lat [48,83°]) / Sin DM f [150,93°] ± Cot DM m [-29,07°]

DAP m = 22,61°

We find the pole of m (□MA) by formula : Tan(pole m) = Sin (DAP m) x Cot (dec m) i,e, Tan(pole m) = Sin m [170,53°] x Cot m [-23,2°]

pole □MA regio  =-20,99°

We need now the DAP of f (MO) under the pole of m, Sin (DAP f) = Tan (pole m) x Tan (DEC f), i,e, : (□MA) : Sin (DAP f/m) = Tan[20,99°] x Tan [-12,47°]

DAP f/m = -4,87°

then we find for the points located in the eastern part of the chart : AO m = AR m ± DAP m ; sign (+) if Dec m boreal or sign (–) if Dec m Austral ; so : AO m □MA = 271° and AO f = AR f ± DAP f ; idem for sign ; so  AO f MO = 225,25°

---------------------------------
arc C Regio = -45,54°
---------------------------------
H.J. Gouchon [l’Horoscope Annuel simplifié, Dervy, 1973, p, 181-182 and Dictionnaire astrologique, p, 277, 1937-1942, Gouchon ed., 1975, Dervy, but be careful because in DAP's equation, the double sign ± was mistakenly replaced by the sign (-) ] advises to avoid errors, to always place the star A1 (for us f, i.e. SU) in the eastern houses; in fact it is enough to change the registration number of the house based on the transformation (IV-V-VI) -> (X-XI-XII) and (VII-VIII-IX) -> (I-II-III ) to adapt the double sign ± in the calculation of DAP f or DAP m; moreover, this sign must be reversed if |DM| > 90°.

For the Regiomontanus directions, there is another mode of computing, mentioned by Gouchon (Dictionnaire astrologique, op. cit., p. 276) and especially Martin Gansten (Primary directions, pp. 155-157, the Wessex Astrologer, 2009)
This method consists at computing first 3 auxiliary angles before  the pole. It then joins the other method. Contrary to what Gouchon says, I find it easier than the previous one because we avoid the double sign ± in the determination of DAP f.

So, initially, we have A => Tan f = tan dec f [-12,47°] / cos DM f [-70,01°]

A = -32,9°

Then : B = Lat [48,83°] + A [32,9°]

B = 15,93°

And, Tang C = Cot DM f [-70,01°] x Cos B [15,93°] / Cos A [32,9°]

C = -22,62°

Then, we have Sin pole f = Cos C [-22,62°] x  Sin LG [48,83°]
---------------------------------
So, pole MO regio = 44,02°
---------------------------------
Now go back to (1)

For m □MA; we have : A => Tan m = tan dec m [-23,2°] / cos DM m [-29,07°]

A = -26,12°

Then : B = Lat [48,83°] + A [26,12°]

B = 22,71°

And, Tang C = Cot DM m [-29,07°] x Cos B [22,71°] / Cos A [26,12°]

C = -61,59°

Then, we have Sin pole m = Cos C [-61,59°] x  Sin LG [48,83°]
---------------------------------
So, pole □MA regio = 20,99°
---------------------------------
Now go back to (1)

Exemple of armillary spherae

 

ARMILLARY SPHERAE

This armillary sphere presents us with a true stereographic projection of the
---------------------------------
DIRECTION : ꝏSA conj VE
---------------------------------
We see the superior meridian upper the pole 48,83° N LAT , the inferior meridian, and the other great circles : equator, ecliptic λ, latitude circle β, azimuth circle A and horary circle H
- the zenith with colatitude 41,17° and the prime vertical
- the horizon with ecliptic inclination of 61,39° and the ecliptic pole at 28,61°
- the line Nord-Sud, as a circle, is the equinoctial colure ; the meridian circle can be considered as the solsticial colure (i,e, the equinoctial colure is a meridian passing through the equinoctial points ; and the solsticial colure is a meridian passing through the solsticial points). The colures therefore divide the apparent annual path of the Sun into four parts which determine the seasons,
- Ascensional difference (DA) for f VE is = sin DA = -tan(lat [48,83]) x tan(dec f [1,9])
---------------------------------
so DA f VE = 2,17°
---------------------------------
Ascensional difference (DA) for m ꝏSA is = sin DA = -tan(lat [48,83]) x tan(dec f [22,67])
---------------------------------
so DA m ꝏSA = 28,54°
---------------------------------
- You see  also an almucantar circle for the mundane primary directions : actually the altitude of f VE = 30,52° ; it is therefore almost equal to the altitude of the su and therefore m and f are in mundane conjunction because Δ alt <2° (-51,11°), This altitude corresponds to that of point f VE (alt f = 30,52), assumed to have remained fixed during the displacement of the diurnal movement.
note that if the m point is a counter parallel, it is retrograde (and it is not a zodiacal aspect because one uses declination to compute mundane parallel),

We can see too two or three parallels of declination ; for point m ꝏSA with dashed line (between equator and equinoctial colure) to design the m DA (see above) ; for point f VE (idem) and for a star (Algol i,e, β Persei or another if present in the sky path of the natal chart ),
- Then we find the index for rising, transit and setting the two points f and m,
- Houses are shown in shaded lines. The grid setting is based on the REGIOMONTANUS system. The cusps are immobile since the movement is based on that of the primum mobile. [cf, John North, 'Horoscopes and history',  (London : The Warburg Institute, 1986) and Henri Selva, 'La Domification , ou construction du theme celeste en astrologie'. Vigot, Paris, 1917]

Local mundane (3) examples of Hindemith (2) Ravel (2)

 HINDEMITH Paul (2)

See the precedent article on the composer : https://primarydirections.blogspot.com/2020/07/paul-hindemith.html

 I began some time ago to study directions on the local sphere, using Max Duval's method. The interest of this method is that the converses directions disappear, something impossible with any other method of direction (except the symbolic directions ...)

We see here the natal chart with Regiomontanus domification ; see the conjunction MA-SA and the conjunction SU-MO.

The direction on which to focus is : square VE conj {MA-SA} :

The theme is almost inverted, the zodiac being variable while the domification system is normalized.

These results have, I repeat, as origin, the very original work of Max DUVAL, in Les Moyens de pronostic en astrologie (Editions Traditionnelles, 1985). The diagram seen above is the most logical and simplest representation of a zodiacal converse direction from the concept of mobile primum (but the term converse but the term concept no longer exists in this figure... If we try to recognize this direction in the classic zodiac figure, this is what we get:

See the (m) square MA at 138.56° which gives a Regio domitude of 21.2. See now an other view of the local mundane direction :

We see that the PM is square MA and that the PF is VE.

Now take the year of death : 68 Y and convert to Naibod key: 4h 25 min. So, when the death occurs, time is : 1h 55 min the 17 of November. The natal chart becomes :

and we see that the Regio domitude of VE is : 22.17. Thus, it is perfectly understood that only the mobile primum is responsible so that the domitude of VE has become practically equal to the domitude of the square of MA.

RAVEL (2)

Same case with Ravel : https://primarydirections.blogspot.com/2018/02/ravel-maurice.html

 We observe a local direction  :square MA conjunction VE :

for year 1934 : at this date, Ravel was already ill (recall : probably Corticobasal degeneration).

and we have the same indirect representation as Hindemith :

We have another direction for Ravel on local sphere : square SA conj (SU,MO)

Note that hyleg is not easy to find in Ravel's natal chart ; it is not SU nor MO (cb) ; we purpose syzygy (NM) and the alchocoden is MA. 

Have a look to the natal chart :

 

note that even (death) is not 1935 but 1937. Syzygy is shown as a shaded circle near MO.

 

Notice the curious coincidence in the arrangement of the planets between the natal chart of Hindemith and Ravel (SU, MO, VE and JU).

Elisabeth de Valois : un exemple

  rappel : cliquez sur les images pour les agrandir et obtenir un slide-show naturel

Elisabeth de Valois

2 avril 1545, Fontainebleau - 23h 30 (Jul.)

Sur la vie d'Elisabeth de Valois, consulter : Histoire d'Élisabeth de Valois, reine d'Espagne, 1545-1568, Antoine Théodore Du Prat, Techener, 1859 - p. 2

... Les médecins [en] prescrivirent à la reine Élisabeth, qui avait souffert de variole, de plusieurs fausses couches (attestées en août 1564 et en septembre 1568) et d’autres maux ayant entraîné de fortes fièvres, de fréquents maux de tête et vomissements. Catherine de Médicis n’avait de cesse d’encourager sa fille à mener une vie saine, éthique de vie à la mode à l’époque, consistant à faire de l’exercice et à surveiller son alimentation encore que son médecin Montguyon, après son premier accouchement, lui conseillât de recouvrer ses couleurs « par bonnes viandes ». Malgré ses nombreuses maladies, la reine mit au monde deux filles. La première, Isabela Clara Eugenia, fut l’enfant du miracle, de la grossesse enfin aboutie le 12 août 1566 après l’invocation, le 14 novembre de l’année précédente, de saint Eugène, dont les reliques avaient été transférées à Alcalá. Puis à Noël 1566, le roi quitte le chantier de l’Escorial et apprend la nouvelle grossesse de la reine. Le 9 octobre 1567, elle met au monde une autre fille, l’infante Catalina Micaela.

Vers le 10 novembre, son entourage la crut de nouveau grosse, puis ses bras enflèrent, elle crut sentir l’enfant bouger en elle en janvier, mais elle n’était pas enceinte, juste prise de fréquents évanouissements « lesquels lui viennent avec tristesse qui la contraint de pleurer sans savoir pourquoi ». Puis le 6 mai, elle parut de nouveau enceinte, mais son mal empira, et en septembre, sa tête enfla, la respiration devint haletante, elle avait de violents maux de reins, des urines chargées de sable, des vomissements, des selles jaunes et noires, une fièvre continue et des syncopes durant parfois plus d’une heure. Sa mère insista pour qu’on la laisse marcher, dans une lettre du 18 octobre, mais la lettre arriva trop tard, la reine étant décédée quinze jours auparavant. Une dernière crise avait entraîné la fausse couche d’une fille de quatre ou cinq mois, le 2 octobre, et deux heures après, Elisabeth mourait. Les médecins espagnols furent à l’époque rendus responsables, par l’ambassadeur Fourquevaux, écrivant à la reine mère qu’ils « luy avoient appliqué de longue main divers remèdes dommageables », mais mieux encore par l’ambassadeur toscan Nobili à Cosme de Médicis : « Il me paraît nécessaire de vous faire savoir comment les médecins ont précisément massacré la reine en lui appliquant une infinité de ventouses à la tête et en lui tirant du sang au pied »
- Sylvène Edouard, « Corps de Reine. Du corps sublime au corps souffrant d’Élisabeth de Valois (1546-1568) », Chrétiens et sociétés [En ligne], 12 | 2005, mis en ligne le 02 mars 2012 - URL : http://chretienssocietes.revues.org/2186 ; DOI : 10.4000/chretienssocietes.2186
- Henri Forneron, Histoire de Philippe II, vol.1, paris, Plon, 1881, p. 139.

 Au vu de cette anamnèse, il est hautement probable qu’Elizabeth de Valois soit décédée d'une toxémie gravidique.

FIGURE I

Le thème est marqué par une conjonction serrée entre le groupe {J-L} et le groupe {V-M} ; par ailleurs, on observe un // entre les deux groupes. Saturne est angulaire. E. De Valois est morte en couche en 1568. La FIGURE II montre le thème : un cercle intérieur avec les domitudes Campanus et un cercle extérieur qui indique, en l'occurrence les directions converses. 

FIGURE II

Comme on peut le voir, le primum mobile fait progresser la voûte céleste d'une durée approximative de 1h 26, entre l'année de naissance 1545 et l'année « virtuelle » comptée à partir de la clef de conversion (1.025°) soit 1567. Je rappelle que l'heure n'est connue qu'à la demi-heure près et le thème a été monté pour 23h30. Ce qui importe, c'est de bien observer cette direction Sa // {V, M} et conj {J, L} ainsi que cette coïncidence qui n'est, bien sûr, explicable par rien d'autre que la configuration thématique : il s'agit d'une véritable constellation planétaire. Nous verrons plus loin que bien souvent, lors de décès qu'on peut estimer comme prématurés - ce qui est hélas ! bien le cas ici - on observe de telles constellations. En 1567, D Rp J | L.

 

FIGURE III

 On voit ici - FIG. III - le thème de directions directes, marqué pour l'année 1569 par J conj Sa. Je rappelle que j'ai considéré Jupiter comme hyleg [n'oublions pas que l'AS se projette - en zodiaque tropical - dans le Sagittaire dont le maître est Jupiter ; toutefois, la présence de Saturne dans ce signe, en association avec les aspects en parallèle in mundi, est à prendre en considération].

direction la plus précise : M D Regio-Campa (PTo) -0.01 MO conj SA -
On observe de nombreux aspects fictifs ; cela arrive notamment lorsque les arcs de direction surviennent près d'un axe et que l'âge de survenue est jeune, ce qui est le cas ici : cela explique que les arcs en AR et AO soient surexprimés.

influence des étoiles

On trouve une étoile en conjonction avec le groupe {J, L} : il s'agit de Facies [Constellation:  M22 Sagittarius].

Much blamed for accidents and broken limbs and so on. The Latin name is from the verb Facere, to make or do something, and it is often said to portend accidents due to the victim's own careless actions. [The Living Stars, Dr. Eric Morse, p.94-95 ]

FIGURE IV : Facies, Aldebaran et Capella sur le zodiaque

Robson [p. 165] lui attribue également des effets délétères. Mais le problème des étoiles fixes - entre autres ! - consiste à essayer de se faire une idée de leurs (possibles) actions compte tenu de leur déclinaison parfois très forte, et de leur latitude. Précisément, la domitude de Facies est de 11°58'. Sa domitude est identique à celle de J ou de la Lune [cf. supra pour les directions avec Saturne].

On trouve une autre étoile de la collection Morinus en conjonction avec le groupe {V, M} : c'est Aldebaran. Sa domitude est de 163°25'.

FIGURE V  : Facies, Aldebaran et Capella en domitude Campanus

It gives honor, intelligence [...] but its benefits seldom prove lasting and there is also danger of violence and sickness. [Robson, p.120.]

Enfin, une 3ème étoile, Capella (α Auriga), en opposition avec le groupe As, Saturne. La domitude de Capella est de 205°29'. A l'époque du décès, on trouve une opposition serrée (cf. Fig. II) entre le groupe J,L et Capella. Or Capella « reflète » l'opposition du groupe Sa, AS si l'on en croit la tradition. L'hypothèse de travail est que l'étoile est « indicée » en tant qu'elle se trouve, par accident, en conjonction ou en opposition avec l'un des points marquants du thème, in zodiaco. Ce n'est là qu'une première étape : il convient ensuite de localiser l'étoile in mundo : à la domitude qui lui est attribuée, elle conserve ses « propriétés  de groupe ». Cette hypothèse me rend donc fort perplexe quant aux attributs planétaires dont on orne, à la façon d'armoiries, les étoiles fixes... Quoi qu'il en soit, une autre direction en converse à la même époque : C Sa // Capella (à 2° près). Notons qu'en 1559, lors du mariage d' Élisabeth de Valois, Capella est au contre-parallèle converse du groupe C (Mars, Vénus).




------------------------------------------
The natal chart is marked by a close conjunction between the group {J-L} and the group {V-M}; On the other hand, we observe a // between the two groups. Saturn is angular. E. De Valois had another miscarriage on 3 October 1568, and died the same day, along with her newborn infant daughter. . FIGURE II shows the Campanus mundane with an inner circle showing the Campanus houses and an outer circle which indicates the converse directions.
As can be seen, the primum mobile moves the celestial vault for approximately 1:26 hours, between the year of birth 1545 and the "virtual" year counted from the key of conversion (1,025 °) or 1567. I remind you that the time is only known to the half hour and the natal chart is computed for 23:30. What is important is to observe clearly the direction of Sa // {V, M} and conj {J, L} as well as this coincidence which is, of course, explicable by nothing but this thematic configuration, A true planetary constellation. We shall see later on that often, in deaths that we can estimate as premature - which is alas! the case here - there are such constellations.

modum

INVENTARIUM

armillary sphera - fig. 39 - leçons de navigation - Vincent Dulague - Paris, Delalain, 1814

 

An example :

Now, if we follow the Choisnard-Fomalhaut method, we say that directing a point A1 on a point A2 (here ꝏMO on SU), is to calculate the arc of the diurnal motion traversed by ꝏMO to arrive at a position similar to SU. It is necessary here to imagine that it is therefore a question of examining the sky while bearing in mind that one of the marked points is supposed to remain immobile (here SU) while the other is driven by the diurnal movement (primum mobile). this is realised in the conventional natal chart but not in the parallel chart. We must find a graphical way to locate the point that has moved in the meantime (here 0,25').
We also observe that there are at least two ways of considering a similar position, depending on whether we consider, with respect to the parallel of declination of SU either an almucantar, or a curve of a great hour circle.
In the literature, we note an important text: Progressions Rays and Houses in Medieval Islamic Astrology: A Mathematical Classification [Josep Casulleras and Jan P. Hogendijk, Suhayl 11 (2012), pp. 33-102]:

'First the astrologer had to select two celestial bodies or other significant points (for example the ascendant, or one of the seven rays of a planet) in the celestial configuration at the moment of birth of the individual. The way in which these bodies or points were selected depended on astrological arguments which do not concern us here, although they were of course decisive for the resulting predictions. One of these points was thought as emitting life-force, the other as a destructive point which destroys life.' [2.3 progressions, p. 41]

The author lists several methods from which we retain: - the right ascension method which seems similar to the Choisnard-Fomalhaut method ; We can compare it with the hour line method:

'In the Tetrabiblos, Ptolemy presents the method of this section as an approximation to the Position Semicircle Method of the previous section… The work is mentioned around the year 880, by the Eastern astronomer al-Battani 40 (Nallino 1899, vol. 3 p. 203, line 1) as the source for this method.' [3.1.4 Hour Line Method, p. 53] -

the oblique ascension method which uses the following technique:

'Two points are in a similar position if they are on the Eastern horizon, or a half circle obtained by rotating the Eastern horizon on the celestial sphere around the celestial poles... The system is mentioned by Ptolemy in his astrological work Tetrabiblos (1940 , p. 290). He says that this is the usual system but that it is correct only if P is on the Eastern horizon' [3.1.2 Oblique Ascension Method, p. 47]

where it seems possible to assimilate the half circle to an almucantar.

                                                        Example of Spencer Diana natal chart

What makes this method interesting for us is that it constitutes the analogous counterpart to the method of primary mundane directions where the altitude (h) of the ‘point P’, here SU  is used and takes the place of a similar position at which is 'making travel' to the 'point F' (here ꝏMO whereas the method usually used is based on the hour angle and the difference in ascension below the pole (DAP).

'This technical term, literally: 'making travel', is often used in modern articles on the history of the subject. Point F  is also called al-musayyar, the point which is made to travel, and point P al-musayyar ilay-hi, the point toward which the travel is made.' [2,3 progressions, note 19, p, 42]

'the emitting point p 'precedes' f in the sense that p rises earlier than f on the eastern horizon, and the rotation of f  to p is in the direction of the daily motion of the celestial sphere. this situation was the most common one, and it will be assumed in the rest of this paper. some astrologers were also willing to consider the destructive point 'preceding' the emitting point, and rotation in the direction opposite to the daily motion of the sphere' [2,3 progressions, p. 42]

this point is notably important because it is the definition of a certain kind of the so called converse directions,
F : so called promissor
P : so called significator

So the method used here is based on what is called the mundane primary directions consisting in using not the longitudes which are located on the ecliptic but the 'domitudes' (term created by Pierre Rougié alias Don Neroman) which are determined by almucantar (note that some astrologers only use the directions in the houses not almucanter) on the local sphere. Max Duval [les directions primaires, editions traditionnelles,1986] recommended this kind of directions. There is another interest in using the mundane directions, it is the examination of the stars, which is not possible to do in longitude. See the eloquent example of Algol in this respect (located in longitude at 54° of ♉and which is found in conjunction with the as at 3° and 30° of ♑in domitude, respectively at sunrise and at sunset; example found in 'les bases de l'Astrologie scientifique', [André Boudineau, Chacornac, 1937], p. 154), Boudineau considering that the specific influence granted to such or such zodiacal zone would in fact be related to an influence which would come from the star which is on the horizon.
Our method is as follows: - when a direction occurs between two planets, we use the positions in mundo. - when a direction occurs  between an axis and a planet, we keep the method of oblique arcs but we can observe that the directions in mundo to the axes give exact results.

1. but de cette recherche : mettre en évidence des coïncidences entre des événements et des aspects de direction primaire

Déterminer dans quelle mesure ces coïncidences peuvent être soit non fortuites, soit non biaisées.

2. événement :

1. principal : décès ou maladie grave ;
2. accessoire : changement notable de situation envisagé sous l'occurrence : destin social ;

3. techniques à analyser en vue d'établir une méthode

1. domification employée : CAMPANUS - REGIOMONTANUS - PLACIDUS
2. directions primaires IN MUNDO selon Campanus, Regio et Placidus, cum latitudine
3. pas de conversion : Ptolemée, AR, équatorial, inverse AR, inverse équat., Cardan, inverse Cardan, Naibod, inverse Naibod - tous les pas sont analysés d'un seul tenant et pris en compte dans une analyse unique -
4. rectification de l'heure de naissance : ± 10 min max (très peu de thèmes sont rectifiés)
   
5. aspects : PARALLELES // - # (soit 4 possibilités par point marquant : 2 parallèles, 1 conjonction, opposition, l'ensemble formant un quadrilatère étiqueté parallèle de déclinaison) ; essai des Rapt-parallels
6. orbes : ± 0.5 année max (sauf Rp, exact)
7. points marquants : Soleil, Lune, Vénus, Mars, Jupiter, Saturne (Mercure selon état céleste)
   
8. examen des étoiles fixes : d'abord en conjonction avec les points marquants ci-dessus au degré près (indiqué par le logiciel Morinus) puis in mundo en domitude campanus
   
9. hyleg : par nature : Lune - par accident : Vénus et Soleil
10. anérète : par nature : Mars, Saturne - par accident : Soleil (éventuellement Mercure)
11. accident : aspect parallèle radix entre les points marquants ;
    - un aspect // ou # entre Soleil et Mars ou Saturne infléchit la neutralité solaire ; à un moindre degré Vénus
    - un aspect radix entre l'un des points marquants et l'AS ; la proximité de points marquants avec l'AS ou le DS
    - lorsque l'axe AS-DS est dépourvu de point marquant (i.e. les maisons XII, I ou VI, VII), on prend comme point marquant l'AS, envisagé comme significateur in mundo
12. idem pour un événement social avec le MC (maisons  IX, X ou III, IV) ; on privilégie Jupiter et Soleil comme point marquant
13. pour mémoire : on tient compte des facteurs de valorisation selon la méthode de Montulmo, Lilly (et Ibn-Ezra) avec valorisation de l'ALMUTEN, avec recherche - pour mémoire - de l'ALCHOCODEN  -
14. les statistiques utilisent le test de Friedman (cf. http://herve.esy.es/Nonparam.htm)
    abréviations (abbreviations) :
    • R : radix
    • SU : Soleil
    • MO : Lune
    • VE : Venus
    • MA : Mars
    • JU : Jupiter
    • Sa : Saturne
    • conj : conjonction
    • opp : opposition
    • // parallèle de déclinaison (pôle identique) in mundo [parallel of declination]
    • # contre-parallèle in mundo [contra parallel]
    • Rp (rapt-parallel)
    • v : vitesse SU en longitude [sun length]
    • k : clef de conversion des temps en âge de vie [timing key convert]
    • D : direction directe (point en corps dirigé vers autre point ou point-aspect)
    • C : direction converse (point-aspect dirigé) ; les conj et opp sont identiques (en principe)
    • HY : hyleg
    • AN : anérète (anaereta)
    • PTO : Ptolemee (clef, key)
    • ar : ascension droite (right ascension key)
    • na : Naibod key (Nabod)
    
    
    

    logiciel employé : MORINUS (8.1.0) 1 - 2 -

    software used

    

    Jean-Baptiste Morin 

    
    
15. les diagrammes peuvent être agrandis
16. certains diagrammes sont disposés selon un slide show manuel

    1. Purpose of this research: to highlight coincidences between events and aspects of primary direction

    Determine to what extent these coincidences can be either non-fortuitous or unbiased. 

    2. event:

    
        Death or serious illness;
        Accessory: significant change of situation;
    
    

    3. techniques to be analyzed in order to establish a method

    
        - house system: CAMPANUS
        - Primary directions IN MUNDO according to Campanus, Regiomontanus and Placidus, with latitudes
        - conversion key: Ptolemy, AR, solar, inverse AR, reverse solar, Cardan, inverse Cardan, Naibod, inverse Naibod - all steps are analyzed together and taken into account in a single analysis with weighting factor    - Correction of the birth time: ± 10 min max
        - Aspects: PARALLELS // - # (ie 4 possibilities per point: 2 parallel, 1 conjunction, 1 opposition, the set forming a quadrilateral labeled parallel of declination) or RAPT-PARALLELS
        - Orbs: ± 0.5 year max (exact for Rapt-parallel)
        - points: Sun, Moon, Venus, Mars, Jupiter, Saturn and Mercury (according to sidereal state)
        - Examination of the fixed stars: first in conjunction with the above marking points to the degree (indicated by Morinus software) then in mundo with domitude campanus
        - Hyleg: by nature: Moon - by accident: Venus and Sun
        - Anaereta: by nature: Mars, Saturn - by accident: Sun (possibly Venus)
        - Accident: parallel aspect radix between the highlights;
        - an aspect // or # between Sun and Mars or Saturn inflects solar neutrality; To a lesser degree Mercury
        - radix aspect between one of the highlights points and the AS; The proximity of points with AS or DS
        - when the AS-DS axis is devoid of a marking point (i.e. the houses XII, I or VI, VII), we take as a point marking the AS, considered as an in-mundo
        Idem for a social event with the MC (houses IX, X or III, IV); We privilege Jupiter and Sun as a marking point
    - the valuation factors are taken into account according to the method of Montulmo, Lilly (and Ibn-Ezra) with valuation of ALMUTEN, and search - for memory - of ALCHOCODEN -
    - statistics used the Friedman test (see http://herve.esy.es/Nonparam.htm)
    - Diagrams can be enlarged
    - Some diagrams are arranged according to a manual slide show