Vateshvarasiddhanta 3.480_42

3.480_42

ayuk padesto gatayeyayorgu ṇau bhujāyasaṃjñau puji yeyayātayoḥ .
bhujāgrabhāgo kramamauvikonitā trivikā vetaramauvikā bhavet ..52..
vi. bhā. nabhaśvaraḥ (deśāṃtarabhujāntara bījakarma saṃskṛto madhyamagraho bhaumā-
dimandasphuṭava) mandatuṅgarahitaḥ (mandoccahīnitaḥ) tadā mandakendram . khecaronitaṃ
(mandaspaṣṭagraharahitaṃ) śīghra (śīghrocca) calakendramucyate (śīghrakendra' kathyate) tribhi-
stribhistadbhavaḥ (tribhistribhiḥ kendrarāśibhiḥ) padāni bhavanti ayuk pade
(viṣamapade) gatayevayoḥ (gatāgatacāpayoḥ) guraṇau (jīve) bhujāgrasaṃjī (gatacā-
pajyā, gamyattāpajyā koṭijyā paramete bhujakoṭijye bhujāgrasaṃjñike) yuji (samapade)
yeyayātayoḥ (gamyagatacāpayoḥ) guṇau bhujāgrasaṃjñau . bhujāgrabhāgotkramamauvikonitā
trivikā (bhujāṃgrośotkramajyonatrijyā) itara mauvikā (bhinnabhujāgrasaṃjñakā)
bhavet .. 51-52 ..
ma
ca
sa
va
ra
na
pa
ta
citra 2
navṛttakendram . maca iṣṭacāpam casa =
iṣṭacāpakoṭiḥ . cara iṣṭacāpajyā bhujā-
grasaṃjñakam. capa- iṣṭacāpakoṭijyā = dvittīya
bhujāgrasaṃjñakam . rama- i vṛcāpotkramajyā
sujāgrabhāgotkramajyā . sapa iṣṭacāpakoṭyu-
kramajyā = dvitīyabhujāgrabhāgotkramajyā . nama
trijyā. nasa trijyā. namarama tri-
bhujāgrabhāgotkramajyā rana capa dvitīya-
bhujāgrasaṃjñaka-koṭijyā
tathā nasa- sapanapa tri dvitīyabhujāgrabhāgotkramajyā tri- koṭyu-
tkramajyā bhujāgrasaṃjñaka bhujajyā cara .. 51-52 ..
hi. bhā. - aba kendra kahate hai usase bhujajyā aura koṭijyādi kalpanā kahate haiṃ.
deśāntara bhujāntara bījakarma saṃskṛta madhyama graha meṃ, bhaumādi manda spaṣṭa graha meṃ mandocca
ghaṭāne se mandakendra hotā hai. śīghrocva meṃ manda spaṣṭagraha ko ghaṭāne se śīghrakendra hotā hai.
tīna tīna kendrarāśiyoṃ ke eka eka pada hote haiṃ. viṣama pada meṃ gata cāpajyā aura gamya
cāpaṇyā bhujāya saṃjñaka (arthāt gata cāpa kī jyā, gamya cāpa kī koṭijyā) prathama aura
dvitīya bhujāya saṃśaka hai. samapada meṃ gamya aura gata cāpa kī jyā bhujāya saṃjñaka (gasya cāpa
kī jyā, ghaura gatacāpa kī koṭijyā) hai. bhujāyoṃśotkramaṇyā ko trijyā meṃ ghaṭāne se bhinna
324
vaṭeśvara-siddhānte
bhujā saṃjñaka (trijyā meṃ bhujāṃśotkramaṃjyā ghaṭāne se koṭijyā saṃjñaka) hotā hai .. 51-52 ..

In an odd quadrant, the sines of the elapsed and remaining [arcs] are designated the base and perpendicular; in an even [quadrant], of the remaining and elapsed. / The radius diminished by the versed sine of the base degrees becomes the other sine. || 52
Sanskrit commentary: The planet (the mean planet corrected by longitude difference, equation of the center, and seed correction, or the slow-corrected planet beginning with Mars), diminished by its slow apogee (less the slow apogee), is then the slow anomaly. Diminished by the planet (less the slow-corrected planet), the fast [apsis] is called the fast anomaly. Its quadrants are each by three signs (by three signs of the anomaly each). In an odd quadrant, the sines (the R-sines) of the elapsed and remaining (of the elapsed and remaining arcs) are designated the base and perpendicular (the sine of the elapsed arc and the cosine, which is the sine of the remaining arc, but these base and cosine sines are named the base and perpendicular); in an even [quadrant], the sines of the remaining and elapsed (of the remaining and elapsed arcs) are designated the base and perpendicular. The radius diminished by the versed sine of the base degrees (the radius diminished by the versed sine of the base degrees) becomes the other sine (designated as the different base-perpendicular). || 51–52
ma, ca, sa, va, ra, na, pa, ta. Figure 2: na is the center of the circle. maca is the desired arc; casa is the complement of the desired arc. cara is the sine of the desired arc, designated as the base. capa is the cosine of the desired arc, designated as the second base. rama is the versed sine of the desired arc, the versed sine of the base degrees. sapa is the versed sine of the complement of the desired arc, the versed sine of the second base degrees. nama is the radius; nasa is the radius. nama - rama = [radius minus] versed sine of the base degrees = rana = capa = the cosine designated as the second base. Likewise nasa - sapa = napa = radius minus the versed sine of the second base degrees = radius minus the versed sine of the complement = cara = the base-sine designated as the base. || 51–52
Hindi commentary: Now the anomaly is stated; from it, the conceptualization of the base-sine, cosine, etc. is stated. In the mean planet corrected by the longitude difference, equation of the center, and seed correction—in the slow-corrected planet beginning with Mars—the slow anomaly arises from subtracting the slow apogee. When the slow-corrected planet is subtracted from the fast apogee, the fast anomaly arises. The quadrants each consist of three signs of anomaly. In an odd quadrant, the sines of the elapsed arc and remaining arc are designated the base and perpendicular (that is, the sine of the elapsed arc is the base-sine, and the sine of the remaining arc is the cosine), being the first and second designations. In an even quadrant, the sines of the remaining and elapsed arcs are designated the base and perpendicular (the sine of the remaining arc is the base-sine, and the sine of the elapsed arc is the cosine). When the versed sine of the base degrees is subtracted from the radius, it becomes the other designated base (the cosine arises when the versed sine of the base degrees is subtracted from the radius). || 51–52