बीजगणितम् (भास्कराचार्य द्वितीय - प्राचीन भारतीय समीकरण एवं बीजगणित सूत्र सटीक)

character: It has a curve on the left, but wait: is it ONE character or TWO? Wait, there is a space before 'म्मानं'? No, look: there is a character, then 'म्मानं' (mmānaṁ). Wait, is the character 'ध'? Could the word be 'अधुना मानं'? Could it be 'तन्मानं'? Could it be 'एवम्मानं'? Wait, let's look at the standard Bījagaṇita text for this verse! The verse is: "को वर्गश्चतुरूनः सन् सप्तभक्तो विशुध्यति । त्रिंशदूनाऽथवा कः स्याद्वदि वेत्सि वद द्रुतम् ॥" Let's trace the prose commentary of this verse in Bhāskara's Bījagaṇita: Problem: x^2 - 4 = 7 k x^2 = 7 k + 4 x = sqrt(7 k + 4) Using the rule "वर्गाद्यौ हरस्तेन गुणितं यदि जायते...": 7 k + 4 is equated to a square. Let 7 k + 4 = (7 n + 2)^2 = 49 n^2 + 28 n + 4. Then 7 k = 49 n^2 + 28 n, so k = 7 n^2 + 4 n. The root is