A Comparative Study of the Early Treatises Introducing Into Europe the Hindu Art of Reckoning

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Rumford Press, 1914 - Algorithms - 126 pages
 

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Page 120 - The dividend is the number to be divided. The divisor is the number by which we divide.
Page 47 - ... lo an example as thus 9634. This figure of foure that hath this schape 4 tokeneth but himself for he stondeth in the first place. The figure of thre that hath this schape 3 tokeneth ten tyme himself for he stondeth in the secunde place and that is thritti. The figure of sexe that hath this schape 6 tokeneth ten tyme more than he schuld and he stode in the place yer the figure of thre stondeth for ther he schuld tokene but sexty. And now he tokeneth ten tymes that is sexe hundrid.
Page 30 - And as a quaint Hindoo writer sets off thus, " He who distinctly and severally knows addition and the rest of the twenty logistics, and the eight determinations, including measurement by shadow, is a mathematician...
Page 86 - If thou be skilled in multiplication, by whole, or by parts, whether by subdivision of form, or separation of digits, tell me, auspicious woman, what is the quotient of the product divided by the same multiplier ?
Page 86 - Beautiful and dear Lilavati, whose eyes, are like a fawn's ! tell me what is the number resulting from one hundred and thirty-five taken into twelve? if thou be skilled in multiplication by whole or by parts, whether by sub-division of form or separation of digits. Tell me auspicious woman, what is the quotient of the product divided by the same multiplier.
Page 10 - Algebra, with arithmetic and mensuration, from the Sanscrit of Brahmagupta and Bhaskara Acharya, translated into English by HT Colebroke, 4to. diagrams, lids. 10s 1817 34186 BRHAT-SANHITA or complete system of natural astrology, by Varaha-Mihira,' Sanscrit, with various readings and introduction, by Kern, 8vo.
Page 99 - The product oi two or more numbers is the result obtained by repeating one number as many times as there are units in the other.
Page 18 - Haec algorismus ars praesens dicitur, in qua Talibus Indorum fruimur bis quinque figuris: 0.9.8.7.6.5.4.3.2.1.
Page 120 - The process of finding how many times one of two numbers is contained in the other, or of finding one of the equal parts into which a number may be separated, is Division.
Page 37 - the invention of nine figures with device of place being ascribed to the beneficent Creator of the universe.

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