| 2 Surg¢Shita The next verse teachcs more summary methods of ariving at the same quantity. 1. Or, the parallax in latitude is the quotient arising from dividing the sine of ecliptie zunith-distance (alkakshepa) by seventy, or, from multiplying it by forty-nine, and dividing it by radius In the expression given love foy the value of the pa2allax in latitude, all the terms are constant excepting the side of ecliptie ४enith-distance . The difference of the noun daily notions is 78] 27", and fifteen times redius is 51,57yNow 78127 51,570 equals or 48.77B 0B to which he expressions given in bhe tot ake sufficiety near approxi mations. 12. The parallax in latitude is to be regarded as south of north according to the direction of the meridian-sine (hud ) When it and the moon's latitude are of like direction, take their Sum ; otherwise, their difference 18. With this calculate to half-huration (sthiti), half total obscuration ४¢rdc), amount of obseuration (gric), etc. in the manner already taught; likewis the scale of yojection (promipt) the defection (ott), the required amount of obscuration, etc. as in the cise of a mnar eclipse In ascertaining the true time of occurrence of the various phases of a solar eclipse, as determined by the parallax of the given point of observ. ation, we are taught first to make the wholo correction for parallax in latitude, and then afterward to apply that for phralla in longitude, The forrror wrt to the pre *uecinctly taught in vorces 12 an 18 : the rules for the (hen follo irl he next passage The language of the text, as usual, is by no meank so clear and explicit as could be wished. IThus, in the case before us, \r not taught whether, as the first stop in this process of correction, we to ealculate the moon's parallax in latitude for the title of the conjunction (tify anta, • end of the lunar da ') or for that of Apparent conjunction (withyagraha940, middle of the eclipse '). It might be fuppoked (hat, as w@ have thus far only had in the text directions for finding the sine Ind cosine of ecliptic zenith-distance at the moment of trug conjunction, the former of them was to be used in the calculations of verses 1 and 11, and the result from it, which would be the prellax at the tnoment of true conjunction, applied here as the correction needed. Nor, Bo far as we hnve been able to discover, does the commentator expound what is the thrue meaning of the text upon this point. Tt is sufficiently vident, howevor, that the moment of apparent conjunc
पृष्ठम्:Surya siddhanta (with commentary).pdf/२२५
दिखावट