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: ...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'rtada'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, give 4 for the quotient: which added to the assumed root 2, makes §; and this, divided by 2, yields for the approximate root.--Su'r. Repeating the operation, the root, more nearly approximated, isW.3 CHAPTER II. PULVERIZER? 53--64. Rule: In the first place, as preparatory to the investigation of the pulverizer, the dividend, divisor, and additive quantity are, if practicable, to be reduced by some number.' If the number, by which the dividend and divisor are both measured, do not also measure the additive quantity, the question is an ill put or impossible one.4 54--55--56. The last remainder, when the dividend and divisor are mutually divided, is their common measure.5 Being divided by that common measure, they are termed reduced quantities. Divide mutually the reduced dividend and divisor, until unity be the remainder in the dividend. Place the quotients one under the other; and the additive quantity beneath them, and cipher at the bottom. By the penult multiply the number next above it, and add the lowest term. Then reject the last and repeat the operation until a pair of numbers be left. The uppermost of these being abraded by the reduced dividend, the remainder is the quotient. The other or lowermost being in like manner abraded by the reduced divisor, the remainder is the multiplier.1 This is nearly wo...
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