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

266 PAÑCASIDDHĀNTIKĀ Formula (3) may also be stated in the form: Rvers (6n) = R − (Rsin z − Rsin z₀), so that n = one-sixth of the degrees in the arc corresponding to the versed Rsine equal to R − (Rsin z − Rsin z₀). Hence the rule stated in vs. 6. [राश्युदयः] तिर्यग्रेखा समदक्षिणोत्तरापक्रमांशरेखायाम् | तच्चापांशा दिग्घ्नाः राश्युदयविनाडिकाः क्रमशः || ७ || Right ascensions of the signs (defined by means of the armillary sphere) 7. The degrees in the arcs of the equator which lies orthogonally (tiryak) bet- ween the north-south declination arcs for the ends of the signs, multiplied by 10, are the vināḍīs of the right ascensions of the signs (Aries, Taurus and Gemini) in their respective order. Fig. XIV.2 In Fig. 2, ♈'R is the equator and ♈'C the ecliptic. AP, BQ and CR are the declinations for the end- points of the signs Aries, Taurus and Gemini, respectively. Then ♈P is the right ascension of Aries, PQ is the right ascension of Taurus, and QR is the right ascension of Gemini. 7a. C. रेखासम० c. A. दिघ्नाः; B. दि—राश्युं b. A. ०रावक्रमांश; B. ०राचक्रमांशा A.B. रेखायाः d. A. विनाडिकां क्र० A. क्रमशं; B. क्रमश i. Chāyāharijābhyantara literally means the distance between the chāyā (i.e. Rsine of the Sun's zenith distance) and the hori- zon. This is equal to the difference between the Rsine of the Sun's zenith distance and the radius, for the former being diminished by the Rsine of the Sun's zenith distance for midday as instructed in verse 5.