Graphic Algebra (Classic Reprint)

It is now generally conceded that graphic methods are not only of great importance for practical work and scientific investigation, but also that their educational value for secondary instruction is very considerable. Consequently, an increasing number of schools have introduced graphic algebra into their courses, and several elementary text-books on graphs have been published. This book gives an elementary presentation of all the fundamental principles included in such courses, and contains in addition a number of methods which are shorter and require less numerical work than those usually given. Thus, for the solution of a cubic or biquadratic by the customary method a great deal of calculation is necessary to determine the coordinates of a number of points. To avoid these calculations and to make the work truly graphic, the author has devised a series of methods for solving quadratics, cubics, and biquadratics by means of a standard curve and straight lines or circles. Two of these methods the solution of quadratics by a parabola (30) and of incomplete cubics by a cubic parabola (49) are but slight modifications of methods previously known; the others are original with the author, who first published them in a paper read before the American Mathematical Society in A pril, 1905. The author desires to acknowledge his indebtedness toM r. Charles E. Deppermann for the careful reading of the proofs and for verifying the results of the examples. ARTHUR SCHULTZE. New York, December,
(Typographical errors above are due to OCR software and don't occur in the book.)

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