Mathematics in Ancient and Medieval India c6.s9.72

c6.s9.72

(h) *The value of the chord of a circle* is given by Āryabhaṭa I⁴ by the relation as CD² = AD.DB, when the chord CDE intersects the diameter ADB (Fig. 14a.) of a circle. CD has been defined as R Sin BC or R Sin AC by Bhāskara I (vide his *Āryabhaṭīyabhāṣya*). This rule is given by Brahmagupta⁵ (c. 628 A.D.) and Bhāskara II.¹ In justification of this rule Bhāskara I has selected several interesting problems such as the hawk and rat problems, the lotus problems and the