पृष्ठम्:महासिद्धान्तः.djvu/30

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CONTENTS. 7 This precession is positive, because of the Ayanagraha being in the first six rasi beginning from ers. This day, i.e. the 7th day of the first half of Vaisakha, samvat I966, Saka 183 I, when the sun is on à, according to Ganesadaivajnya, author of Grahalaghava, the precession is 23, 7'. (According to the current Suryasiddhanta, this precession is found to be 21°. 9".). Thus, the precession is equal to the declination of the Ayanagraha, is a new method . Let the Sine of the precession be equal to sine A. ". Sin A Sin D(distance travelled by the Ayanagrah) x SinW(greatest declination) '. Sa A = r ( radius ) Differentiating by aid of differential calculus, we obtain cos A x d A cos D d D x Sin w ་་་་་་་ శ r 2 W cos D, d D x Sin w L. d A. r COS A of ( ) We have found above the annual motion of that Ayanagraha to be 173". 447. Substituting this in the equation (I), we obtain cos D x Sin w X I 73”. 447 dA as r COS A The cosine of the precession is not always the same as the cosine of the distance travelled by the Ayanagraha. Hence, according to the author, the motion of the precession is every year variable. We have now to determine when the value of cos D 最 COS A will be a maximum and a minimum. Cos D Suppose P = Cos A o di P = - Sin D x cos A x d D -- Sin A cos Dxd A cos*A