भारतकोश
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 235, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 235

215 are on the average 59'—8''+790'—35''=850', to cover one Yoga, they take roughly one day since the duration of a yoga is of 800'. To get the number of elapsed yogas, divide (⊙+M)' where M is the longitude of the Moon by (s+m). To get the elapsed nādīs which are given by the remainder r' or the remaining nādīs of the current yoga which are given by 800; the proportion is ‘If by s+m gain in the sum of the longitudes we have 60 nādīs, what time is indicated by r' or 800—r'?’. The answer is (r' × 60)/(m + s) or ((800 — r)' × 60)/(m + s) = गतैष्यविलिप्तिकाः/(m + s) . By the word गतैष्यविलिप्तिकाः is meant therefore the number of seconds of arc as many as the remainder r or (800—r) is in minutes or what is the same the remainder or 800—r converted into seconds. (8) The tithi, karaṇa, nakṣatra of the Moon and yoga constitute four of the Angas of the panchānga or the Hindu Calendar the fifth being the week-day. All these five are supposed to have their effects good or bad on living beings. Verses 68, 69. The correction what is called Nata- karma. The Zenith distances of the Sun and the Moon at the end of Purṇimā or Amāvāsyā at the time of lunar or solar eclipse, being expressed in nādīs, are multiplied by 6 to get the degrees. Let their H sine be got from the short table of H sines. Multiply it by the equations of centre of the Sun and the Moon. Divide by 4920, and 4361 respectively. If the Sun be in the Eastern hemisphere, let the result pertaining to the Sun be subtracted from his position ; if in the Western, let it be added to his position. If the Moon be in the Eastern hemisphere and if his equation of centre be negative let the result be added to his position; if the equation of centre be positive, let the result be sub- tracted from his position in either of the hemispheres.