पृष्ठम्:लघुभास्करीयम्.djvu/११७

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The ascensional difference of Taurus is equal to the ascensional differ ence of Aries and Taurus minus the ascensional difference of Aries. That is to say, it is equal to the ascensional difference of the last point of Taurus minus the ascensional difference of the last point of Aries. The ascensional difference of Gemini, similarly, is egual to the ascen ional difference of the last point of Germini minus the ascensional difference of the last point of Taurus. The times of rising of Aries, Taurus, and Gemini at the equator: 5. 1670, 1795 and 1935 are (in 1ऽus) the times of rising of (the first three tropical signs) Aries etc., at Larika." It can be easily seen from the celestial sphere that the time of rising of Aries at the equator is cपृual to the right ascension of the last point of Aries, and the time of rising of Aries and Taurus (taken together), egual to the right ascension of the last point of Taurus. Thus the time of rising of Taurus is eual to the right ascension of the last point of Taurus minus the right ascension of the last point of Aries. Similarly, the time of rising of Gemini at the equator is cपual to the right ascension of the last point of Gemini minus the right ascension of the last point of Taurus where ८ is the right ascension of a point on longitude and 8 its declimation. 0 0 Therefore Putting 11 2 3141 x Rsin). Rcos 8 007 Hence the times of rising of the =30", 60° and 90" successively in (3), we Aries, Taurus ecliptic, . its (1) tropical (2) (3) casily get ८ =1670 and Gemini at the equator