The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic Sections, and the General Theory of Curves and Surfaces of the Second ... in Schools and Universities (Classic Reprint) - Softcover

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Excerpt from The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic Sections, and the General Theory of Curves and Surfaces of the Second Order; Intended for the Use of Mathematical Students in Schools and Universities

English mathematicians have, however, been singularly slow in appreciating these decided advantages; so slow, indeed, that, till the year 1823, when Dr. Lardner published the first part of his Algebraic Geometry, the English language possessed not a single book on this subject. Besides this work, a treatise on analytical geometry has also emanated from the University of Cambridge, which, although a work of much originality and ability, the ingenuous author has since publicly acknowledged to be unsuited to the purposes of elementary instruction. Dr. Lardner's book will, no doubt, when completed, pre sent a valuable body of analytical science, accessible, however, to these only who have a knowledge of the differential and integral calculus.

Maclaurin, in his Treatise on Fluxions, first suggested this happy idea. Which threw a new light on the entire theory of mechanics. But, unfortunately, this simple principle has been neglected by later English authors, and much of what our mathematicians at present know and practise of this method, we owe chiefly to the re-importation of it through the medium of modern French works and many, perhaps, who are admiring the facility which is thus thrown into mechanical investigations of the greatest difficulty, are unconscious that this thought had its origin in our own land.

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