पृष्ठम्:सिद्दान्तदर्पणम्.djvu/६५

24c-25b. When the eccentric circle (jata-blogay?tta) is oblique in relation to the orbital circle (je]yabhoga-w"tta), their cosines (koji) are to be taken as their radi. And the difference or sum, (as the case of may be), of the sines of the two circles is to be taken as the 1atitude of the eccentric circle. [0efinition of sine, etc 25 c-d. The sum of the squares of the sine (do-bhaja) and cosine (koti-bht५ja) is a square with the hypotenuse as a side 26. The sine is the (perpendicular) distance from the planet to the line joining the upper (ucc८) and lower (r८) points through the centre of the orbital circle. The cosine is the height of the perpendi cular 'to the planet (from the centre of the orbital circle). And the hypotenuse is the distance from the centre of the orbital circle to the planet. The Sphuta or ge0centric position of a planet 39 27 a-b. The geocentric position of the planet is (obtained) by Subtracting or adding the arc (capa) of the (above) sime measured as a part of a circle with the hypotenuse (as the radius) (karary'ta), from or to (the position of) the apsis. 27 ०.d. The manda epicycle is indeed to be angle, sine, etc. of the hypotenuse-circle (ar१4-ytta) Declination (Kranti) derived from the 28 -b. Even in diurnal circles substended at the ends (different) declinations, the respective minutes are equal in number the pra१10-७ (i.e. one-sixth of a wind) of to 28०-29a. The (apparent) declimation of a planet (graha-krant) is obtained by multiplying (separately) the cosine of the maximum declination (071y८-८y4jya) (24) and the actual declination by the c0sine of the latitude, and adding or substracting the results (as the case may be) 29 b-d. The same (apparent declination) can be derived also by adding to the result obtained by multiplying sine 90° by kalajya to the results obtained by multiplying (separately) the maximum declination (24) and the declination of the present planet by the cosine of the latitude.