ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)
Brahmasphuta Siddhanta of Brahmagupta with Commentary
आचार्य ब्रह्मगुप्त द्वारा
पृष्ठ 126, कुल 737 में से
संदर्भ में पढ़ें86 BRAHMASPHUṬASIDDHĀNTA & KHAṆḌAKHĀDYAKA (ii) Diameters of the Earth, the Sun and the Moon are thus given : (In the midnight day-reckoning) the diameter of the Earth is ( stated to be ) 1,600 yojanas; of the Sun 6,480 (yojanas) and of the Moon, 480 (yojanas)¹. (iii) Mean distances of the Sun and the Moon are as follows : The (mean) distance of the Sun is stated to be 689,358 (yojanas), and of the Moon 51,566 (yojanas).² (iv) Longitudes of the apogees of the planets are as follows: 160, 80, 240, 110, and 220 are in degrees the longitudes of the apogees of Jupiter, Venus, Saturn, Mars and Mercury respectively.³ (v) Manda and Śīghra epicycles of the planets are as follows : The Manda epicycles ( of the same planets ) are 32, 14, 60, 70, and 28 (degrees) respectively; and the Śīghra epicycles are 72, 260, 40, 234, and 132 ( degrees ) respectively. The Sun's apogee and epicycle are the same as those of Venus (i. e. 80° and 14° respectively). The Moon's epicycle in the midnight day-reckoning is stated to be 31 (degrees). ⁴ (vi) The positions of the so called manda and śīghra pātas of the planets are given below: ( The following directions for) the degrees of the (manda and śīghra) pātas of the planets as devised
- अष्टिशतगुणा व्यासो योजनानां भुवो रवेः । खाष्टाब्ध्यक्ष्यङ्गानि शीतांशोः शून्यवस्वब्धयस्तथा ॥ —23
- वस्विन्द्रिय गुणच्छिद्रवस्वङ्गानि विभावसोः । अङ्गाङ्गेष्वेक भूतानि चन्द्रकर्णः प्रकीर्तितः ॥ —24
- अष्टिरष्टौ जिनारुद्रा विंशतिर्द्वयधिकाः क्रमात् । दशघ्ना गुरुशुकार्कि भौमज्ञांशाः स्वमन्दजाः ॥ —25
- मन्दवृत्तानि द्वात्रिंशन्मनवः षष्टिरेव च । खाद्रयो वसुदस्त्राः स्युः शीघ्रवृत्तान्यथ क्रमात् ॥ —26 द्वयद्वयः खाङ्कनेत्राणि खाब्धयोऽब्ध्यग्निदस्रकाः । द्वयग्नीन्दवो रवेर्मन्दं शुक्रवद् वृत्तमेव च ॥ —27 एकत्रिंशत्क्षपाभर्तु र्धरात्रे विधीयते । —MBh. VII 26-28 (i)