Vateshvarasiddhanta 3.480_37

3.480_37

atropapattiḥ
bhaumādigrahāṇāṃ paramaśīghraphalānāṃ jyāḥ śīghrāntyaphalajyāḥ kathyante, vimbīyakarṇā-
nayanaprakāraiṇa vimbīyakarṇejñāna' kṛta' tasya paramatve uccastho graho bhavettatra paramo-
ñcakarṇaḥ tri śīghrāntyaphalajyā paramoccakarṇa- tri śīghrānnyaphalajyā, tathā
vimbīyakarṇasya paramālapatve nīcasthāne graho bhavedatastatra paramanīcakarṇaḥ - tri-
śaughrāntyaphalajyā tataḥ, tri-paramanīcakarṇa śīghrāntyaphalajyā, anayā rītyā
śīghrāntyaphalajyāmāna' jñātvā'nupāto yadi trijyā vyāsāceṃ bhāṃśāḥ paridhayastadā
śīghrāntyaphalajyā vyāsāceṃ kimityanupātena samāgacchanti śīghranīcoccavṛttapariṣayo
ye copayuktāḥ santi, mandaspaṣṭagrahācchobrāntyaphalajyāvyāsārdhena yaddadṛttaṃ tacchīghranī-
coddhavṛttaṃ śīghnanīcoccavṛttaparidhirvā .
sūryasiddhānte tu śīghrāntyaphalajyā'pi sadā na sthireti vicārya samaviṣama-
padāntabhedena paridhyaṃśā bhinnā bhinnāḥ kathitā, yathā-
kujādīnāmataḥ śaighrathā yugmānte'rthāgnidasrakāḥ .
guṇāgnicandrāḥ khanagā dvirasākṣīṇi goñjanayaḥ ...

Here is the rationale:
The sines of the maximum fast equations of the planets beginning with Mars are called the sines of the maximum fast equation. When the distance-hypotenuse is computed by the methods for finding the distance-hypotenuse, if it is at its maximum, the planet would be at its apogee. There, the maximum apogee-hypotenuse = trijyā + sine of the maximum fast equation [or: trijyā - sine of the maximum fast equation]; likewise, if the distance-hypotenuse is at its minimum, the planet would be at its perigee. Therefore, there the maximum perigee-hypotenuse = trijyā - sine of the maximum fast equation, whence trijyā - maximum perigee-hypotenuse = sine of the maximum fast equation. Having determined the value of the sine of the maximum fast equation in this manner, by the proportion: if, for a radius equal to the trijyā, the circumferences are [360] degrees of the ecliptic, then what are they for a radius equal to the sine of the maximum fast equation?, the circumferences of the fast apsis circle are obtained, which are appropriate. The circle [drawn] from the planet corrected for the slow motion with a radius equal to the sine of the maximum fast equation is that fast apsis circle, or the circumference of the fast apsis circle.
In the *Sūryasiddhānta*, however, considering that even the sine of the maximum fast equation is not always constant, the epicycle degrees are stated differently according to the distinction between the ends of the even and odd quadrants, as follows:
"From this, the fast [epicycles] of the planets beginning with Mars at the end of an even [quadrant] are: the arrows, the fires, and the Dasras [235]; / the properties, the fires, and the Moon [133]; the void and the mountains [70]; the two, the flavors, and the eyes [262]; the nines and the births [19]..."