Items related to Algebra, with arithmetic and mensuration
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: ... root.--Sur. Repeating the operation, the root, more nearly approximated, « WO CHAPTER II. PULVERIZER.1 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--65--56. The last remainder, when the dividend and divisor are mutually divided, is their common measure. 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 1 This is nearly word for word the same with a chapter in the L'llircitt'/ on the same subject. (Lil. Ch. 12.) See there, explanations of the terms. The method here taught is applicable chiefly to the solution of indeterminate problems that produce equations involving more lhan one unknown quantity. See ch. 6. Ten stanzas and two halves. 1 If the dividend and divisor admit a common measure, they must be first reduced by it to their least terms; else unity will not be the residue of reciprocal division; but the common measure will; (or, going a step further, nought.)--Ga'n. on Lil. Crish...
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- PublisherRarebooksclub.com
- Publication date2012
- ISBN 10 1130374742
- ISBN 13 9781130374742
- BindingPaperback
- Number of pages166
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