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