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. 1844 Excerpt: ...x3--15z+63a; = 60, are 1.02804, 6.57653, and 7.39543, their sum being = 15, the coefficient of the second term of the equation, as it ought to be when they are right. Again, if 4.2 and 4.3 be taken as the two assumed numbers, And consequently, x = 4.3 Again, let 4.264 and 4.265 be the two assumed numbers; then.064087: ...
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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. 1844 Excerpt: ...x3--15z+63a; = 60, are 1.02804, 6.57653, and 7.39543, their sum being = 15, the coefficient of the second term of the equation, as it ought to be when they are right. Again, if 4.2 and 4.3 be taken as the two assumed numbers, And consequently, x = 4.3 Again, let 4.264 and 4.265 be the two assumed numbers; then.064087: .001:: .027552: 0004299 And consequently, x = 4.264 +.0004299 = 4.2644299, very nearly. 2. Given (----15)a + xs/x = 90, to find an approximate ralue of x. Here, by a few trials, it will be soon found, that the value of x lies between 10 and 11; which let, therefore, be the two assumed numbers, agreeably to the directions given in the rule. Then, First Sup. Second Sup. 25.. (ix3-15)a.. 84.64 Again, let 10.5 and 10.6 be the two assumed numbers Then, First Sup. Second Sup. 49.7025.. (far1--15)a.. 55,830784 34.0239, .. v'i..34.511099 83.7264 Results 90.341883 Hence, 90.341883.. 10.6.. 90.341883 83.7264.. 10.5.. 90 'OF EXPONENTIAL EQUATIONS. An exponential quantity is that which is to be raised to some unknown power, or which has a variable quantity for its index; as, J. A a3, a, a?, or st &c. And an exponential equation is that which is formed between any expression of this kind and some other quantity whose value is known; as, a3 = b, x1--a, &c. Where it is to be observed, that the first of these equations, when converted into logarithms, is the same as log. a = b, or x = J.f'; and the second equation x3 = a log. a is the same as x log. x--log. a. In the latter of which cases, the value of the unknown quantity x may be determined, to any degree of exactness, by the method of double position, as follows: --Rule.--Find, by trial, as in the rule before laid down, two numbers as near the number sought as possible, and substitute them in the ...
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Add this copy of Bonnycastle'S introduction to Algebra; Containing the to cart. $24.03, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2006 by University of Michigan Library.
Add this copy of Bonnycastle'S introduction to Algebra; Containing the to cart. $38.55, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2006 by University of Michigan Library.
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