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Home > Art, Film & Photography > Algebra, with Arithmetic and Mensuration, from the Sansc. of Brahmegupta [The Ganitadhaya and Cuttacadhyaya] and Bhascara [The Vijaganita and Lilavati] Tr. by H.T. Colebrooke
Algebra, with Arithmetic and Mensuration, from the Sansc. of Brahmegupta [The Ganitadhaya and Cuttacadhyaya] and Bhascara [The Vijaganita and Lilavati] Tr. by H.T. Colebrooke

Algebra, with Arithmetic and Mensuration, from the Sansc. of Brahmegupta [The Ganitadhaya and Cuttacadhyaya] and Bhascara [The Vijaganita and Lilavati] Tr. by H.T. Colebrooke


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1817 Excerpt: ... and third; and lastly equal to the rest; the root comes out cl c2 c5 c.5. This, however, is wrong; for its square is ru 13 c 8 c 80 c 160. Defect then is imputable to those authors, who have not given a limitation to this method of finding a root. In the case of such irrational squares, the operation must be conducted by taking the approximate roots of the surd terms, and adding them to the rational terms: whence the square root is to be deduced.1 Largest is not rigidly intended ( 40). Sometimes, therefore, the least is to be used. 52. Example. Say what is the root of a square, in which are the surds forty, eighty, and two hundred, with the rational number seventeen? Statement: ru 17 c40 c 80 c200. Subtracting the two last terms from the square of the rational number, the two portions found are c 10 cl. Again treating the smaller surd as a rational number, the result is c5 c2. Thus the root is c 10 c5 c 2. A rule of approximation for the square-root is given in the Chapter on Algebra, in the Sidd'hdnta-sundara of Jnya'na-ra'ja, cited by his son Su'ryada'sa; "The root of a near square, with the quotient of the proposed square divided by that approximate root, being halved, the moiety is a more nearly approximated root; and, repeating the operation as often as necessary, the nearly exact root is found." Example 5. This, divided by two which is first put for the root, gives for the quotient: which added to the assumed root 2, makes-f; and this, divided by 2, yields-J for the approximate root.--Su'r. Repeating the operation, the root, more nearly approximated, is W-CHAPTER II. PULVERIZER 53--64. lRule: In the first place, as preparatory to the investigation of the pulverizer, the dividend, divisor, and additive quantity are, if practicab...


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Product Details
  • ISBN-13: 9781130328516
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 166
  • Spine Width: 9 mm
  • Width: 189 mm
  • ISBN-10: 1130328511
  • Publisher Date: 07 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 308 gr


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Algebra, with Arithmetic and Mensuration, from the Sansc. of Brahmegupta [The Ganitadhaya and Cuttacadhyaya] and Bhascara [The Vijaganita and Lilavati] Tr. by H.T. Colebrooke
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Algebra, with Arithmetic and Mensuration, from the Sansc. of Brahmegupta [The Ganitadhaya and Cuttacadhyaya] and Bhascara [The Vijaganita and Lilavati] Tr. by H.T. Colebrooke
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Algebra, with Arithmetic and Mensuration, from the Sansc. of Brahmegupta [The Ganitadhaya and Cuttacadhyaya] and Bhascara [The Vijaganita and Lilavati] Tr. by H.T. Colebrooke

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