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. 1881 Excerpt: ... for extracting the square roots of numbers is founded upon the algebraic rule, as the following example will show. Ex. 111. Find the square root of 582169. 582169 = 580000 + 2100 + 69, taking the figures as in the pointing, and completing them with ciphers. a bc 580000 + 2100 + 69/700 + 60 + 3 490000 92100 subtracting ...
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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. 1881 Excerpt: ... for extracting the square roots of numbers is founded upon the algebraic rule, as the following example will show. Ex. 111. Find the square root of 582169. 582169 = 580000 + 2100 + 69, taking the figures as in the pointing, and completing them with ciphers. a bc 580000 + 2100 + 69/700 + 60 + 3 490000 92100 subtracting and bringing down 8760c next period. CHAPTER XIV. Greatest Common Measure. 65. A Measure of a quantity is a quantity which will divide it without a remainder. A common measure of two or more quantities is a quantity which will divide each of them without a remainder. The greatest common measure is the greatest quantity which will divide two or more quantities without a remainder. If the greatest common measure of two or more quantities is a simple factor, it is easy to detect it by inspection, thus the G. c. M. of $a2bc, ytbc2x, $ab2cxy is abc. It will be observed that a measure of a quantity and a factor of the quantity are the same, and that the greatest common measure is the product of all the factors which are common to the given quantities. A knowledge of factors will assist us materially in the study of the G. c. M. We know also that if two quantities have no common factor, they can have no common measure except unity. We have the following rule for finding the G. c. M. of two or more quantities by factors. Write out the given quantities in factors, and the product of all the factors which are common to them all will be the G. c. M. We illustrate this by an example. Ex. 1. Find the G. C. M. of ax + x2 and abc + bcx. ax + x2 = x(a + x). abc + bcx--bc(a + x). The factor a + x is common to them, and no other factor is found in both of them; hence a + x is the G. C M. Ex. 2. Find the G. C M. of a3-ab2, and a4 + ab3. The factors of a8-ab2 ar...
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Add this copy of The Inductive Algebra to cart. $63.22, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2012 by Nabu Press.
