सामग्री पर जाएँ
सर्वकोश
सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 87, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 87

67
1°-40' minus 0-3'052"-15"' approximately. For x days x ✕
1 2/3° = 5/3 x° = 10 x° / 6 which gives the first part. Also 3'-52"-
15"' = 929° / 14400 = 1 / (15+) 1 / (1+) 1 / (1+) 1 / 464 of which a very ap-
proximate convergent is 2/31 = 10/155 ie for x days 10x° / 155. Hence
the position is given by 10 x° / 6 - 10 x° / 155 + Dhruvaka.
Verses 20. The position of Saturn is given by 2x' / 5 +
2x" / 5 + Dhruvaka = Saturn's position.
Comm. The mean daily motion of Saturn is
0-2-0-22-51.
For x days 2x' + x ✕ 0"-22"'-51"". The latter part
is 137" / 360 approximately = 1 / (2+) 1 / (1+) 1 / (1+) 1 / (1+) 1 / 2 of which a near
covergent 2/5 so that for x days, we have 2x' + 2x" / 5

  • Dhruvaka position of Saturn.
    Verses 20 contd. To find the position of the apogee of
    Moon.
    The Ahargaṇa divided successively by 10 and 88 and
    added gives the degrees to be added to the Dhruvaka of
    the Apogee of the Moon to obtain its position.
    Comm. The mean daily motion of the apogee of the
    Moon is 0-6-40-53-56. At the rate of 6' per day, in x
    days the number of degrees covered is x / 10 ; the remainder
    0-0-40-53-56 = 4601° / 405000 = 1 / (88+) 1 / 41 of which a very
    approximate convergent is 1/88. Hence the position is given