सामग्री पर जाएँ
सर्वकोश
पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

Panchasiddhantika of Acharya Varahamihira with Commentary

आचार्य वराहमिहिर द्वारा

DevanagariHindipublished419 पृष्ठ

पृष्ठ 329, कुल 419 में से

संदर्भ में पढ़ें
पृष्ठ 329

XVII.9 XVII. SAURA: TRUE PLANETS 303
centre). Find its arc-sine. Add half this arc to the half rectified longitude of
apogee if the anomaly of apsis is from 0° to 180° and subtract if 180° to 360°.
Thus the apogee is rectified completely.
मध्यात् पु(न)र्विशोध्य (त)स्माद्बा[हुर्न] तस्य यच्चापम् ।
तन्मध्यमे क्षयधनं कर्तव्यं मन्दकेन्द्रवशात् ॥ ८ ॥
Third step
8. Substract this rectified apogee from the mean and thus get the anomaly
of apsis. Find its bhuja and multiply it by the epicycle of the apsis and divide
by 360°. The bhuja-result, (this is the equation of the centre), is got. Find the arc-
sine of this, and subtract the whole of this arc from the mean if the anomaly
of apsis is from 0° to 180°, and add it from 180° to 360°. The result is rectified
mean.
एवं स्फुटमध्याख्यं शीघ्रात् संशोध्य पूर्वविधिनैव ।
आदिवदा(प्तं) चापं स्फुटमध्या(ख्ये) चयापच(यम्) ॥ ९ ॥
Fourth step
9. Deduct the rectified mean from the śīghra. The anomaly of conjunction
is got. Find the bhuja and koṭi of this in the same manner as we did in the first
step. Multiply the bhuja by the epicycle of conjunction and divide by 360°. Sine
anomaly of conj. is got. Multiply the koṭi, i.e., cos. anomaly of conjunction, by
the epicycle of conj. and divide by 360°. The related cosine is got. Add this to
120 if the anomaly is from 270° to 90° and subtract from 120 if from 90° to
270°. Square this, add the square of the bhuja (i.e. equation of conjunction)
and find the square root. Divide the equation of conj. × 120 by this square
root. The arc sine of this is the result. Add this result to the rectified mean if
the anomaly of conj. is from 0° to 180°. Subtract otherwise. The geocentric
true planet is got.
6a. A1. तद्भुज; B. तद्भुजयौग             d. B. धनहानिः; C.D. धनहानि
b. A. भाजयेन्नभू (A2. भु) जखं;             B 1.2.3. repeat the verse twice and
  B. भाजयेन्नभुजखं; C. विभजेद् भुजं फलं खं;       give them two consecutive verse
  D. भाजयेत्ततो भुजं ख               numbers.
  B. सूर्यघ्न्यः (B2. घ्नः)              8a. B. मध्यासुरो A. पुरो विशोध्य; C.D. पुनर्विशोध्यः
c. A.B. तज्झापा (B. या) र्धं             b. A.B.C.D. तस्माद् बाहुं न
d. B. शीघ्रं B. वशातात्               9a. a. मध्याख्यां; C. मध्याख्यान्
7a. B. स्फुटयि (B1. पि, B3. यी) त्वैव मन्द          b. D. संशोध्यं
b. C. विशोधितस्य; D. विशोध्यं तस्य           c. A.B.D. आदिवदाप्ते B. चाल्पं
c. B2. परिणाम B3. कामुकार्धं             d. A.B. मध्याख्योप (B. च) चयापचयः (B. पापचयः)