Excerpt from The Elements of Curves

This mode of expressing proportionals in many cases offers considerable advantages in point of brevity and clearness, from bringing at once under the eye all the steps of a proof, which if written at length would appear long and complex. Its utility will be perceived, and any apparent obscurity in it removed, upon the perusal of a very few of the propositions where it is exemplified.

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Excerpt from The Elements of Curves: Comprising, I, the Geometrical Principles of the Conic Sections; II. An Introduction to the Algebraic Theory of Curves

This mode of expressing proportionals in many cases offers considerable advantages in point of brevity and clearness, from bringing at once under the eye all the steps of a proof, which if written at length would appear long and complex. Its utility will be perceived, and any apparent obscurity in it removed, upon the perusal of a very few of the propositions where it is exemplified.

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