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98 PAÑCASIDDHĀNTIKĀ IV. 26 But the author gives 224′ 40″ as being more convenient to use. The day-diameter at the end of Gemini = 2√(120² − 48′ 48″²) = 219′ 15″, which is the same as given by the author. The missing part of the text, (pañcatriṁśat), has been found out by computation. (tisaṁyu) has been guessed as being necessary to supply the meaning, which is clear. [चरः] व्या(स)क्रान्तिज्याघ्नी विषुवज्ज्या लं[ब]कद्युदैर्घ्यहृता । तच्चापकलात्र्यंशश्चरखण्डविनाडिकाः स्पष्टाः ॥ २६ ॥ Cara 26. Multiply the sine of latitude by 240′ and by the sine of declination. Divide by the sine of co-latitude and by the day-diameter. Find the arc of the sine obtained in minutes—(This arc is called half-cara)-and divide by 3. The result are the accurate minutes of cara, (which might be called ‘day-difference’). From the cara we can obtain the cara-intervals, (or cara differences). This is the formula: (i) Sine half-cara = 240′ × sine latitude × sine declination ÷ (sine co-latitude × day-diameter) From this the half-cara arc is got. Then, (ii) Cara, i.e. day-difference in vināḍīs = minutes of half-cara ÷ 3. In III.12 the author gave a rule for the cara-vināḍīs to be used in North-India and its neighbour- hood and said that he would give the general rule later in the Chedyaka section. This is it. Further, in the rule of III.10, the interval of the vināḍīs were given for long intervals in degrees, like whole signs, and the value obtained can only be rough. This rule can give accurate values. The reading perhaps is ‘cara-piṇḍa’ for which the scribe has written ‘cara-khaṇḍa’ by mistake. Example 8. The sine of latitude of a place is 72′, and the sine of co-latitude 96′. The Sun is at the end of Mithuna, with the sine of its declination 48′ 48″. The day-diameter for the day is 219′ 15″. Find the cara- vināḍīs. By the formula, sine half-cara = 240′ × 72′ × 48′ 48″ ÷ (96′ × 219′ 15″) = 40′ 4″. Arc 40′ 4″ = half-cara = 19° 31′ = 19 × 60′ + 31′ = 1171′. Cara-vināḍīs = 1171/3 = 390, i.e. nāḍīs 6-30. The work is thus explained: (See fig.10) 26a. A. व्यासः क्रान्ति b. A. ज्यालक