Indian Science and Technology in the Eighteenth Century: Some Contemporary European Accounts c13.83

c13.83

63. Secondo noi detta Pratica Speculativa. *Summa* 8.1.
64. Census, quicquid fortunarum quis habet. *Steph. Thes.*
65. *Khulasatulhisab* c. 8. Calcutta.
66. *Liber abbaci*, 9.15.3. M.S. in Magliab. Libr.
67. Def. 11.
68. Brahm. 18 § 27-29. *Vija-ganita* § 29-52
69. Lil § 45. *Vija-ganita* § 15-16 and § 135.
70. *Vija-ganita* § 129. and § 137—138
71. Brahm. 18. § 3-18 *Vija-ganita* 53-73. Lil. § 248—265.
72. Brahm. 18. § 29-49. *Vija-ganita* § 75-99.
73. Mem. of Acad. of Turin: and of Berlin.
74. *Vija-ganita* § 206—207.
75. Brahm. 18. passim. *Vija-ganita*.
76. *Vija-ganita* § 117—127. § 146-152.
77. *Vija-ganita* § 212—214.
78. Brahm. 12. § 21; corrected however in Lil. § 169—170.
79. Lil. § 59—61, where it appears, however, that preceding writers had treated the question algebraically. See likewise § 139—146.
80. Def. 11.
81. Note M.
82. (See following page)
82. he designates the sides C.D. Base B. Segments x, . Then B : C :: C : x B : D :: D : δ } and therefore { C² = Bx D² = Bδ Therefore, The Indian demonstration, with the same symbols, is B : C :: C : x B : D :: D : δ } Therefore { χ = C²/B δ = D²/B Therefore B = χ + δ = C²/B + D²/B and B² = C² + D².
83. Problèmes plaisans et délectables qui se font par les nombres. 2nd Edit. (1624). La Grange’s additions to Euler’s Algebra, ij. 382. (Edit. 1807)
84. *Vija-ganita* § 80-81.
85. Wallis, Alg. c. 98.
86. Ibid.
87. *Bhascara* Vij. § 173, and § 207. See likewise *Brahm*. Alg. Sec. 7.
88. *Mem. Acad. de Berlin*, vol.24.
89. See French translation of Euler’s Algebra, Additions, p.286. And Legendre Theorie des Nombres 1. § 6. No.36.
90. Wallis, Algebra, c. 2.
91. *Ibid.* and Preface.
92. *Ibid.* and Nunéz Algebra 114.
93. Wallis, following Vieta’s version, Alg. c. I.