168 Shry@-Siddh%t¢ 8. By this '* divisor divile the sine of the interval between the meridian ecliptic-point (madhgalayaand the Sun's place the quotient is to be regarded a# the paralax in longitude (l Macof the Sun and moon, castward or westwar, in nadi, etc. 'The true aulue of the process by which this final rule for finding the paréllax in longitude is obtained is nltogethey hidaen from xight under the form in which the rule is si. Its northol is as follows: We have bee, jn emnction will \lnt First verse of the preceding lhapter, thi he gat!st p?' 1xes of the sun and noon are quite nearly equivalent to the nmean anotion of each f ring 4 afte. FIncy, were both bodies in the notion i |he ecliptic a vertical circle, the moon would be depressed in her (rbia below the sun to an nourt equal to he" exce89 in motion during 4 nida Thi> is the moon'x relate est horizontal pral]ax in longitude 't find x' hat it would }be at any other point in the eclipticstill considered a vertical circle, we make the proportion k!। 4 (ho par.) jn zen.-dlist. vert, p£a]lax This proportion IS •। iely corruch, IT] in accorature with our morerm al• that, with a given dist ance, the parallax of a body varia8 a8 the sine of iः ४०nizh-distitude wheh he Hindus and ad ']g®rus donorstrition of its truth(; ' whethe ty in so many other exes, seeing thalb the partulla was given text when h¢ $in of 2.&mith-listance was greatest , are untimg whe is is othing, they nsSurned it to vary in the interval as the fine of zenizh-lisfun , buying if, with : sine of genith-distance which is eq a ndius, |he nellax 1ॐ four nécis, with a given sine of zonith-distance whp j$ { this we will not ventute to determine But now is to be considered the fart}1® take in which the ecliptic is not a vertical circle, but is depressed Miclow the genith a certain distance, meaBured by the sine of ecliptic genith-distance (dlkAleph), already found Here again, noting Zhnt the purflax is all to be reckonek १8 parallox in longitude when he cliptic is a vertical eircle, or when the kine of ecliptic. altitude is greatest 1nd {hat it would be only pnrllax in latitude when the ecliptic should be a horizontal circle, or when the sine of ecliptic-altitude should be reduend to nothing, the Hindus assume it to vary in the inte£val as that sinte, and accordingly make the proportion if, with a sine of ocliptio-altitude that is equal to yadia, fihe parallax in longitude is equal to the vertical parallax, with any given Kine of ecliptio-altitude what is it१ or, inverting the middle tering sin cl-alt vert. para]lax parallax in long. But we had before
- in pan.diAt
- vert paralhy