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पृष्ठम्:Surya siddhanta (with commentary).pdf/१९७

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144 Srg४-Siddhanta eclipses, still farther lessoned by By 31", the exoess of the value assigned bo %he sun's horizontal parallax, as we shall see farther on. Of the varia tion in the parallax, due to {he varying distance of the moon, the Hindu systorn makes no account: the variation is actually nearly 8, being from 58 48", at bhe apogee, to 81 24, at the penigco. How the amount of the paralla was determined by }he Hindus--if, indged, they had the instruments and the kill in obsorvation ४०९uisite for making themselves an independent determination of it--wo aro Yot informed. It is not to be supposed, however, that an actual estimate ot the man horizontal palax us precisely 53% ¢0® lics at the foundation of the other elements which seem to rest upon it; for, in the making up of the artificial Hindu systemall these elements hnve een modified and adapted to one another in such a manner as to produe etan ho} numbers as their results, an] so to be of more convenient use From this paralax the 1oon's distance may be deluced by the ro portion in / 2 arth's rad.: moon's dist. 538 : 84B8 : 81) 51,570 or |he radius of the moon's orbit, then, is 51,370 yojanas, or terms of Ble earth's *ndius , 34.47. The te value of the nons men distance is 59.868 radii of the earth The fazthe proportion 8488 : 540 51.57() : 81,000 \ would give, as the value of a quadrant of the moon's orbit, 81,000 yojanas ank, ng the whole orbit, Ra24.0 yojanas. This i। 14A he circurm. ference of the orbit assumed by the system , and stated in १nunother pa९ (xit. 85). Since, however, the noon's distance is nowhere ked as an element in any of the proces: of the system and is even aipect] (xii. 8} to be found from the circumference of the orbit by th: false ratio of 1 wi0, it is probable that it was also made no account of in constructing the Bystemand that the relations of the moon's pnyntax and orbit were fixed by some such proportion as , 5B 20 : B() : 800 : 824,000 The moon's orbit being 324,00 yojana, the assignment of 480 yriants ak her diameter implie8 a deterription of her apparent diameter at her" mean distance ns 32; since B60° : 82 : : 324.0) : 480x 'The moon's mean apparent diameter is actually 81/ w". In order to understand, father. how the dimension of the sun's orbit and of the sum himself are determined by the Hindus we have to notice that, the moon's orbit being 324,000 yojan06, and her time of sidereal xevolution 2d.B2187410, the amount of her mean daily motion is