Elements of analytical geometry and the differential and integral calculus . IONS, Being a sequel to the Authors Class Books, with miich additional matter. Awork essentially practical, designed to give the learner a proper appreciationof the utility of mathematics; embracing the gems of Science, from commonArithmetic through Algebra, Geometry, the Calculus, and Astronomy. ROBINSONS NATURAL PHILOSOPHY, 228 pages, in which there is more real philosophy than can be found in thesame number of pages in any other book. Every principle is brought to themind in a clear and practical point of view. Thi


Elements of analytical geometry and the differential and integral calculus . IONS, Being a sequel to the Authors Class Books, with miich additional matter. Awork essentially practical, designed to give the learner a proper appreciationof the utility of mathematics; embracing the gems of Science, from commonArithmetic through Algebra, Geometry, the Calculus, and Astronomy. ROBINSONS NATURAL PHILOSOPHY, 228 pages, in which there is more real philosophy than can be found in thesame number of pages in any other book. Every principle is brought to themind in a clear and practical point of view. This volume contains many philo-sophical problems to exercise the learner, and gives him a definite understand-ing of the principles of the steam engine, and is the only book which containsa full representation of the magnetic telegraph. .A ELEMENTS OF ANALYTICAL GEOMETRY, AND THE DIFFERENTIAL AND INTEGKAL C A L C U L U S-. BY H. N. ROBINSON, A. M. AUTHOR OF A COURSE OF MATHEMATICS, INCLUDING SURVEYING ANONAYIGATION, ASTRONOMY, AND NATURAL PHILOSOPHY. FIRST STANDARD EDITION,. GINGINNATI-JACOB ERNST, 112 MAIN STREET,1856. Entered according to Act of Congress, in the jjrear 1856,BY H. N. ROBINSON, tyi^-^ ^if^In the Clerks Office of the Northern District of New York. BTEEEOTYPED BY D. HILLS & MAIN ST., CINCINNATI. PREFACE. Setting aside Astronomy and Natural Philosophy the following treatiseis the sixth volume of a course of mathematics by the same author on thesame general plan of familiar inductive instruction. All mathematicalscience is positive, sure, and simple, and it is capable of being set forth ina natural, clear, and comprehensive light; and to attain this end all ourlabors have been directed. Hence, we have aimed at a familiar, rather thana cold, scientific style, and have embraced every opportunity to give princi-ples a practical application, and have in every way made exertions to reachthe minds of those we hope to instruct. We know, however, that our views will n


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