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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 214, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 214

194
∴ log sin δ₂ = 9.6093 + 9.9375 = 9.5468
∴ δ₂ = 20° – 30′
∴ log sin EA₁ = 9.3634 + 9.5758 = 8.9392
∴ EA₁ = 4° – 59′ = 299′
∴ rE = 3463 – 299 = 3164 asus
∴ Rising time of Sāyana Vṛṣabha for the locality
= 3164 – 1505 = 1659 asus.
rA₂ = 5400, sin EA₂ = tan 13 tan δ₂ = tan 13 tan 24°.
∴ log sin EA₂ = 9.3634 + 9.6486 = 9.0120
∴ EA₂ = 5° – 54′ = 354 asus
∴ rE = 5400 – 354 = 5046
∴ Rising time of Mithuna is 5046 – 3164 = 1882 asus.
Before we proceed to find the rising times of Karka-
taka, Simha and Kanyā, we shall cast our previous proce-
dure into the Hindu form. In fig. 21, let rS be the Sāyana
Mesha. The rising time of rS is measured by rE, because
when r is at E, Meṣa is just about to rise and when r is
in the position indicated, the extremity of Meṣa namely
S is rising. So it means that as rS of the ecliptic has
risen, a portion rE of the Equator has risen. As time is
measured by the arc of the equator which rises with a
uniform speed, we measure the rising time of rS by the
arc rE; but rE = rA – AE. rA is the Equatorial rising
time of rS, because when A is at E, S will be at B i.e.
A and S will then be on the equatorial horizon EB simul-
taneously. Hence rA = 1670 as proved before and stated
by Bhāskara. EA is the chara for 30°. The chara for one
angula or inch (inch is here used technically, and does not
mean what it means in ordinary parlour) as has been stated
by Bhāskara and proved by us is 10 Vinadis. (Vide page 181)