Vateshvarasiddhanta 3.480_34

3.480_34

upapatti
madhyama graha aura mandaspaṣṭa graha ke antara mandaphala hai, paramama daphalajyā mandāntyaphalajyā
kahalātī hai, madhyama graha ko kendra mānakara mandāntyaphalajyācyāsārtha se jo vṛtta hotā hai.
vaha mandanīcī vṛtta hai. mandoccanīca paridhijñāna ke liye anupāta karate haiṃ yadi trijyāvyā-
sārca meṃ bhāṃśa paridhi pāte hai to mandāntya phalajyā vyāsārtha meṃ kyā isa anupāta se mandanīcoba
vṛttaparidhi ātī hai, saba grahoṃ ke mandāntyaphalajyā mānavedha se jānakara acārya usake vaśa
se sandatīcocca vṛttaparidhi paṭhita kiye jo upayukta hai. sūryasiddhānta ke anusāra
samapadānta meṃ ravimandaparidhvaṃśa = 140 . candra ke mandapa = 32, viṣamapadānta meṃ bīsa kalā
caṭakara ravimandaparidhyaṃvā = 130140'. candramandapa = 31140' bhaumādigrahoṃ ke sasapadānta
meṃ kramaśaḥ mandaparidhyaṃśa = 750. 300. 33 . 120 . 39 . viṣama padānta meṃ kramayāḥ manda
paridhvaṃśa = 72 . 280.32. 11 . 48 isake lie sūryasiddhāntokta pradholikhita
vākya hai-
ravermandaparidhyaṃśā manavaḥ śītagoradāḥ . yugmānta viṣamānte ca nakhaliptonitāstayoḥ ..
yugmānte'rthādrayaḥ khāsti surāḥ sūryā navārṇavāḥ. oje dvacanā vasuyamā vā sṭrā gajābdhayaḥ ..
brāhmasphuṭasiddhānta meṃ brahmagupta ravi aura candra ke mandaparidhyaṃśa bhinna hī kahate haiṃ. jaise
sūryasya manu dvitayaṃ tryaṃśonaṃ vinadalena tasya prāk . tithiṣaṭikābhistryaṃśādhikonamūnādhikaṃ paścāt ..
budale jinaliptonaṃ daśanadvitayaṃ dviśarakalonaṃ prāk . paścādyutonimindoḥ sūryasya śraṛṇe ghane paridhi ..
isake anusāra ravi ke ṛṇa phala meṃ dhanaṃphala meṃ
pūrva unmaṇḍalameṃ ravike rahane se mandapari-140.0 pūrva unmaṇḍalameṃ ravike rahane se maṃpa. 13.20′
madhyānha meṃ " = 13140′ madhyānha meṃ = 13140′
paścima unmaṇḍala meṃ ravi ke rahane maṃpa. 40°10′ paścima unmaṇḍalameṃ ravike rahane se mapa 130.20'
candra ke ṛṇaphala meṃ dhanaphata meṃ
pūrva unmaṇḍala meṃ candra ke rahane se maṃpa. 300144' pūrva unmaṇḍalameṃ caṃdra ke rahane se maṃpa. 300144'
madhyānha meṃ = 31136 paścimaummaṇḍala meṃ caṃdra se rahane se meṃ.30144′
madhyānha meṃ =311360
tathā kujādi grahoṃ ke bahmaguptokta mandaparidhyaṃśa meṃ hai kujama pa 70 budhamaṃdaṇa =
38 . gurumaṃ pa 33. samapadāṃta meṃ śukrama dapa 11. viṣamapadāṃta meṃ śukrama dapa 1 . yāni
ke mandaparidhya'vā 30.
āāskarācārya bhī etadanusāra hī kahate hai kevala śanaiśvara kī mandaparidhi meṃ
antara par̤atā hai. isase mālūma hotā hai ki mandāntyaphalajyā barābara eka rūpa nahīṃ rahatī
hai jisake kāraṇa mandanīcī vṛttaparidhi pāṭha meṃ ācāryoṃ ke matoṃ meṃ bheda haiṃ ..46..

Rationale:
The difference between the mean planet and the planet corrected for the slow motion is the slow equation. The sine of the maximum slow equation is called the maximum equation of the center. Taking the mean planet as center, the circle produced with a radius equal to the sine of the maximum equation of the center is the slow apsis circle [manda epicycle]. To find the circumference of the slow apsis, a proportion is made: if, for a radius equal to the trijyā, the circumference is [360] degrees of the ecliptic, then what is it for a radius equal to the sine of the maximum equation of the center? From this proportion results the circumference of the slow apsis circle. Having determined the value of the sine of the maximum equation of the center of all planets by observation, the Teacher taught the circumferences of the slow apsis circle accordingly, which are appropriate.
According to the *Sūryasiddhānta*, at the end of an even quadrant, the Sun's slow epicycle degrees = 14°; the Moon's slow epicycle [degrees] = 32°. At the end of an odd quadrant, diminishing by twenty minutes, the Sun's slow epicycle degrees = 13° 40'; the Moon's slow epicycle [degrees] = 31° 40'. At the end of an even quadrant for the planets beginning with Mars, the slow epicycle degrees are respectively 75°, 30°, 33°, 12°, 49°. At the end of an odd quadrant, the slow epicycle degrees are respectively 72°, 28°, 32°, 11°, 48°. For this, there are the following statements from the *Sūryasiddhānta*:
"The degrees of the Sun's slow epicycle are fourteen [14], and of the Moon thirty-two [32]. At the end of an even and at the end of an odd [quadrant], they are diminished by twenty minutes [20'] for both of them.
At the end of an even [quadrant, they are] seventy-five [75], thirty [30], thirty-three [33], twelve [12], and forty-nine [49]; in an odd [quadrant, they are] seventy-two [72], twenty-eight [28], thirty-two [32], eleven [11], and forty-eight [48]."
In the *Brāhmasphuṭasiddhānta*, Brahmagupta states the degrees of the slow epicycle of the Sun and the Moon quite differently, as in his verses:
"Twice the Manus [28] minus one-third [27° 40'] for the Sun at midday; before midday, when inclined [towards the east], / diminished or increased by one-third of the lunar day's ghaṭikās; after [midday], increased or diminished.
At midday, twice the teeth [64] diminished by the Jinas [24, i.e., 40°]; before [midday], diminished by fifty-two minutes [52']; / after [midday], increased or diminished, for the Moon. The circumference is [applied] for the Sun's negative and positive equation..."
According to this, for the Sun's negative equation and positive equation:
when the Sun is on the eastern equatorial horizon, the slow epicycle = 14° 0' / when the Sun is on the eastern equatorial horizon, the slow epicycle = 13° 20';
at noon = 13° 40' / at noon = 13° 40';
when the Sun is on the western equatorial horizon, the slow epicycle = 14° 0' / when the Sun is on the western equatorial horizon, the slow epicycle = 13° 20'.
For the Moon's negative equation and positive equation:
when the Moon is on the eastern equatorial horizon, the slow epicycle = 30° 44' / when the Moon is on the eastern equatorial horizon, the slow epicycle = 30° 44';
at noon = 31° 36' / when the Moon is on the western equatorial horizon = 30° 44';
at noon = 31° 36'.
And among the slow epicycle degrees of the planets beginning with Mars stated by Brahmagupta are: Mars's slow epicycle = 70°; Mercury's slow epicycle = 38°; Jupiter's slow epicycle = 33°; at the end of an even quadrant, Venus's slow epicycle = 11°; at the end of an odd quadrant, Venus's slow epicycle = 11°; Saturn's slow epicycle degrees = 30°.
Bhāskarācārya also speaks in accordance with this, except that there is a difference in the slow epicycle of Saturn. From this it is known that the sine of the maximum equation of the center is not constantly uniform, because of which there is divergence among the doctrines of the teachers in teaching the circumference of the slow apsis circle. || 46