ATTERSALL James

ATTERSALL James

01 Oct 1817 GREG    CAL
wednesday GREG
 | lat 53° 15' 0" | N 0°33' W
LONDON
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natal (bt) 19 h 45 min
raas-rams :0h 10' 18"
reckoned bt Lat --> lmt 16 h 34 min
tu 16h 36' 11"
tsn 17h 14' 11"
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timezone  : 0
DST : 0 (-)
Equation of time 0h 10' 18"
ΔT 0h 0' 14"
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 This topic was discussed in the forum

https://skyscript.co.uk/forums/viewtopic.php?p=125144#p125144

and it comes from a collection of 30 themes by John Worsdale, contained in the 'Celestial Philosophy' (Longman, 1828), with a large discussion [pp 35-37], the square theme appearing on p. 19.

 

Born October 1st, 1817, 4:45 P.M. in London.

In the forum cited above, we can read:

'On the day of Death, the Child went into the Street unobserved by any one, and immediately accompanied several other Children who were playing very near a Horse that was feeding a short distance from the Door, near the side of the River. The Horse was always considered to be a very quiet Animal, but in the fatal Hour, he kicked at the Children, yet none were injured, except the unfortunate Child, who received the stroke in its forehead, which proved instantly mortal; his Death happened on the 22nd of September, 1819, near three o’clock in the Afternoon, Age one Year, eleven Months, and twenty days.' [...] 

 and i add this extract from Worsdale :

'The Astral causes that produced the sudden and violent Death of this Child, are plainly visible; the Ascendant is afflicted by the body of Saturn, and Square of the Moon, and Mars in Mundo; the Moon is conjoined with Mars among evil Stars in the Northern Angle, approaching the Terms of Saturn, without any relief, and that Luminary is applying- to the Mundane Square of Saturn, by direct motion. The Part of Fortune is afflicted by the opposition of the Moon and Mars; but I judged the work of Mortality to arise chiefly from the uninterrupted communication of those violent rays of Mars and the Moon from the Imum Celi, to the Sun, who is the true Apheta, or giver of Life, particularly because the Hyleg is near the Body of Mercury, and Rapt Parallel of Saturn ; and I shall here observe that Mercury is of the nature of the enemies in the Celestial constitution.'

Celestial philosophy, p. 36-37

 Now, I give the theme in a more modern form: 

 
Aspects are computed from the mundane version of the theme; the blue triangle is the mark of the hyleg (SU) and the red triangle, that of the alchocoden (ME).
If we look at the possibilities for the hyleg, we find SU (which has an aspect with ME) and ME has a TERM-like dignity; moreover the theme is diurnal. MO does not have a Ptolemaic type aspect. ASC is the 2nd candidate to be the hyleg with an aspect of VE (and two dignities, TERM and EXN, I pass on FAC which is only mentioned for the record). However, ASC cannot be retained in principle because the moon is preventional (WANING type).
The fourth point to examine is POF since the theme is conjunctional. But there is no dignity.
The last point is the dominant of the theme: VE. VE is in opposition to ASC and SA. It is in dignity of TERM with SA.
If we want to make a synthesis, it is essential to respect the order of succession of the different possibilities offered: here there is no need to hesitate. The hyleg is SU and the alchocoden can only be ME, even if ME appears, as Worsdale clearly saw it as problematic.

ME is retrograde, peregrine and also occidental. SU is in fall [LIB].

The dominance table :

We see that VE and SA (score >= 5) are 'effective'.

The disposition of the stars (I am only talking about the group of Behenian stars here) shows:
- conjunction cusp of XII and Algol (β Per) in Regio domitude at 331.36
- conjunction of ASC and Deneb algedi (δ Cap) at 359.76 (Regio domitude)

The primary directions  :

1)- DIRECTION : □MA conj ASC
---------------------------------
For a direction between ASC and any planet or aspect (zodiacal or mundane),  we must compute ASC OA and m OA (here □MA) ; the inner circle contains the AR (right ascension) values of ASC and MA or SA.  The outer circle contains the values of the same elements in OA (oblique ascent). Natal ASC is always indicated with a round symbol (o) and the natal significator (MA or SA) with a cross (x). The direction is simulated  by a segment of a circle that ends counter-clockwise at the value in OA. A symbol reflects either a conjunction aspect or a quadrature aspect.

OA ASC = 348,55°
OA □ MA progr = 353,59

 D= 1,01°

1)- DIRECTION : CSA conj ASC
---------------------------------
For a direction between ASC and any planet or aspect (zodiacal or mundane),  we must compute ASC OA and m OA (here CSA) ; the inner circle contains the AR (right ascension) values of ASC and MA or SA.  The outer circle contains the values of the same elements in OA (oblique ascent). Natal ASC is always indicated with a round symbol (o) and the natal significator (MA or SA) with a cross (x). The direction is simulated  by a segment of a circle that ends counter-clockwise at the value in OA. A symbol reflects either a conjunction aspect or a quadrature aspect.

OA ASC = 348,55°
OA C SA progr = 355,41

 D= 0,52°

It is notable that at birth we have respectively :

- for MA D = 2.55° and for SA D = 3.04°

2)- DIRECTION : □ VE conj MA

Problem XVI gives the means of finding if a star is in the same circle of position, with a planet or any significator. Find the arc position ET [3.21], which assumes the hour angle of the star and its semidiurnal arc. With ET and H [H' 4.29] you will have the angle O [5.36] of the position circle with the meridian; you will compare this circle to that of the signifier and you will see if it differs [adapted from Delambre, Histoire de l'Astronomie du Moyen Âge, p. 489, 1819]

2.1 MAGINI – REGIOMONTANUS   
---------------------------------
converse   
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If dir is converse,  change in [P] dec and h of [□ VE] for [C MA]  and in [ET], change DA of [□ VE] for [C MA]   
    
modified from [ Delambre, Hist Astron Moyen Âge, Magini, pp, 486-491 Paris 1819]   
    
    Eq for Fig 129 (pl 12)  see fig for location and explanation of spherical triangles
    
    h (altitude  of the promissor) - H (latitude of the observer) - D (declination of the promissor) –
    D' (declination of incident horizon = position circle of promissor) - PH=H -
---------------------------------   
P (horary angle, from midnight)    0
-178,58    ||  cosP = (sinh-sin Hsin D)/(cosHcosD)
    
PHA (HAO angle)   
5,36    ||  TanPHA = sinP/((sinD+cosP)cosH)
    
PR (pole HAO)   
4,289    ||  sinPR=sinPHsinPHA
    
ET (arc meridian/HAO)   
3,21    ||  tanET=cosHtanPHA
    
H'    ||  H' (incident horizon = B50
4,29    ||  tanH'=sinETtanH
    
PAR (position angle)   
4,67    ||  sinPAR=sinH'/cosD
    
QS, HPR (Az PR)   
86,79    ||  cosQS=sinET
    3,2104838638743
ΔAR' (DA/HAO)   
1,79    ||  sinΔAR'=tanDtangH'
    
OTE, HTQ, ETH (equat/HAO angle)   
85,71    ||  tanOTE=cotH/sinET
    
KO (≠AR □ VE C MA)    Eq for Fig 130 (pl 12) see fig for location and  Explanation of spherical triangles
0,45    ||  KO=AR□ VE - ARC MA
    
A (AET angle)    ||  EA = 90-H
5,36    ||  sinA=sinETsinOTE/sinEA
    
T (angle horizon/OTH)    ||  pole of PRS (=90-H')
85,71    ||  cosT=sinAETsinH
    
[+] TO ΔAR' □ VE    ||  D boreal --> sign [+] = switch for [-]
1,84    ||  sinTO=tanDcotT
-1   
[-] TV ΔAR' C MA    ||  D' boreal-> sign [-] = switch for [-]
1,79    ||  sinTV=tanVZcotT
1   
tasyir    ||  If OS (D) [+], TO ~ sign,  If RK (D') [-], TV ~ sign
0,41    ||  KV=KO – OT – TV
    
VZ    ||  D' (declin of C MA)
22,65   
    
OS    ||  D (declin of □ VE)
23,17   
    
ST    distance ST
23,24    ||  sinST=sinD/sinT
    
TZ    distance TZ
22,72    ||  sinTZ=sinD'/sinT
    
ZS    ≠dist
0,52    ||  If D/D'<0 [-]
    
EPA (EPV, EV) ± ΔAR'    horary angle of □ VE
5,00    ||  if d is [-] ~ ΔAR'
    
IOANNIS ANTONII MAGINI  PRIMI MOBILIS LIBER NONUS QUI AGIT DE DIRECTIONIBUS pp, 214-232 PROBLEMA XVIII p, 230   
    
KV = KO [+] TO [-] TV   
0,41    ||  KV = KO [+] TO ΔAR' □ VE [-] TV ΔAR' C MA
-0,05    ≠AR'
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DIRECTION = TASYIR = 0.41
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2.2 PLACIDUS - AL BIRUNI - AL BATTANI

PLACIDUS        □VE C MA
choose if  sign alt □ VE = sign alt C MA       
Actually, -13,58 / -14,09       
-------------------------------------------       
semiarc    □ VE    55,04
dm            □ VE    0,96
semiarc    C MA    56,03
second. Dist.    C MA    0,98
              
dist from MC or IC    C MA    1,42
 -------------------------------------------       
arc of dir    DIRECTIO DIRECTA    0,44
-------------------------------------------                
semiarc     C MA    56,03
dm            C MA    1,42
semiarc    □ VE    55,04
second. Dist.    □ VE    1,39
       
dist from MC or IC    □ VE    0,96
-------------------------------------------         
arc of dir    DIRECTIO CONVERSA    0,43
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DP PLACIDUS        METHOD FOMALHAUD-CHOISNARD       

This is the method which appears in the work of Paul Choisnard "Langage Astral" (Editions Traditionnelles, reed 1963), pp. 149-173. Choisnard bases himself on Ptolemy's process (Tetrabiblos, III, 10 and IV, 11) which Neugebauer analyzes in his "History of Ancient Mathematical Astronomy", pp. 898-899 (see also : Neugebauer - Van Hoesen "Greek Horoscopes", p. 12 in the 'Starter' article where he gives a basic bibliography).

    Plac     direct    Plac conv
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sa1/dm1    57,33        39,46
sa2            56,03        55,04
x                0,98        1,39            (x = sa2.dm1 / sa1)
dm²            1,42        0,96
sign            -1        -1                   if the two points are on either side of the meridian, take + ; otherwise -
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arc            0,44        -0,43            arc = dm2 ± x
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