Brahmagupta’s propositions on the perpendiculars of cyclic quadrilaterals

Altshiller-Court, 1952 Askey, 2010, Completing Brahmagupta’s extension of Ptolemy’s Theorem, 191 Cajori, F., 1991. A History of Mathematics, fifth revised ed. Chelsea, New York, 1991 (reprints: American Mathematical Society, Providence, RI, 1991 and 2000. Earlier editions are dated 1893, 1919, 1980 and 1985). Chasles, M., 1837. Aperçu Historique sur l’Origine et le Développement des Méthodes en Géométrie. M. Hayez, Bruxelles (reprint: J. Gabay, Sceaux, 1989). Colebrooke, H.T., 1817. Algebra, with Arithmetic and Mensuration, from the Sanskrit of Brahmegupta and Bhascara. J. Murray, London (reprinted as: Classics of Indian Mathematics, with a foreword by S.R. Sarma. Sharada Publishing House, Delhi, 2005). Datta, 1980, Hindu geometry, Indian Journal of History of Science, 15, 121 Dvivedin, S. (Ed.), 1902. Brāhmasphuṭa Siddhānta and Dhyānagrahopadeśādhyāya of Brahmagupta. Edited with notes by Sudhākara Dvivedi (reprinted from The Pandit 23 (1901) and 24 (1902)). Kichenassamy, 2006, Baudhāyana’s rule for the quadrature of the circle, Historia Mathematica, 33, 149, 10.1016/j.hm.2005.05.001 Kichenassamy, 2010, Brahmagupta’s derivation of the area of a cyclic quadrilateral, Historia Mathematica, 37, 28, 10.1016/j.hm.2009.08.004 Kichenassamy, S., in press. L’Analyse Littéraire au service de l’Histoire des Mathématiques: Critique interne de la Géométrie de Brahmagupta. Comptes-Rendus des Séances de l’Académie des Inscriptions et Belles-Lettres. Padmavathamma, 2000. The Gaṇita-Sāra-Sangraha of Śrı¯ Mahāvı¯rācārya (with English Transliteration). (Kannada Translation and Notes. English Translation and Notes by Rao Bahadur M. Rangācārya. Sri Siddhantakirthi Granthamala, Sri Hombuja Jain Math, Hombuja). Plofker, 2007, Mathematics in India, 385 Plofker, 2008 Ran˙gācārya, M., 1912. The Gaṇita-Sāra-Sangraha of Mahāvı¯rācārya with English Translation and Notes. Government Press, Madras (included with a Kannada translation in Padmavathamma [2000]). Sarasvati Amma, T., 1999. Geometry in Ancient and Medieval India. Motilal Banarsidass, Delhi (first ed., 1979; second revised ed., 1999). Sharma, R.S. (Chief Ed.), 1966. Brāhma-Sphuṭa Siddhānta, with Vāsanā, Vijñāna and Hindi Commentaries, 4 vols. Indian Institute of Astronomical and Sanskrit Research, New Delhi.