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. 1889 Excerpt: ...the known and unknown quantities. I. Algebraic Equations are those equations wherein the relations of the quantities can all be expressed by addition, subtraction, multiplication, division, involution, the exponents being known, and evolution, the indices being known. Illustration. 3a;2--2mx--7x=3; 5x--2y--w=7. II. ...
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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. 1889 Excerpt: ...the known and unknown quantities. I. Algebraic Equations are those equations wherein the relations of the quantities can all be expressed by addition, subtraction, multiplication, division, involution, the exponents being known, and evolution, the indices being known. Illustration. 3a;2--2mx--7x=3; 5x--2y--w=7. II. Transcendental Equations are those that are not algebraic. Illustration. 3x=7; 5oiC=13x+-; lx--lx; log a=b. The principal transcendental equations that will be treated, in this book are Exponential equations. An Exponential Equation is an equation in which any of the exponents are unknown quantities. Illustration. 8x=am+v; bx=C; ax+a=bx+a; xv=x-. 5. According to the form of the exponents: I. Rational Equations are those in which the exponents of the unknown quantities are all entire. n. Radical Equations are those in which any of these exponents are fractional, or any of the unknown quantities--2 are affected by the radical sign: asi/a: =3&-f-a;7; f/x-j-a=7. These equations must be so transformed as to be free of radicals before the degree of the equation can be determined. The classes just given evidently pass into one another, so that an equation may be at the same time in two or more classes, provided these classes be of different kinds. Thus, 3X=3X is an identical and exponential equation, but it is evident that an equation can not be at the same time Hational and Radical. 6. According to the nature of the coefficients into I. Numerical. II. Literal. 345. Prom the definition of an equation it follows tahfcr I. The two members must be composed of quantities of thesame kind. II. The two members must be numerically equal. III. The two members must have the same essential sign. 346. The following axiom is used in transforming and sol..
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Add this copy of Algebra for the Use of High Schools, Academies and to cart. $51.44, good condition, Sold by Orca Knowledge Systems, Inc rated 5.0 out of 5 stars, ships from Novato, CA, UNITED STATES, published 1881 by A.L. Brancroft and Co.
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Seller's Description:
Good. Heavily scuffed and rubbed leather. Some scattered markings throughout. Pencil name on inside back cover: Lincoln Savage, San Francisco, University of California. Bookplate on inside front cover: Library of Richard Savage, San Francisco, California, Crocker School. Lincoln Savage name also on front free page in pencil. In ink on 2nd free page appears to be Ernest Richard Savage, Divisadero St., San Francisco, California.
Add this copy of Algebra for the Use of High Schools, Academies and to cart. $76.86, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
