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ELEMENTARY

ANALYTICAL GEOMETRY.

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ANALYTICAL GEOMETRY

FOR SCHOOLS AND BEGINNERS

BY THE REV.

THOMAS G. VYVYAN, M.A.

FELLOW OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE, AND

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183. f. 6.

This work is intended for beginners: that is for those who have acquired some little familiarity with algebraical working, and know some elementary trigonometry, and the forms of the conic sections.

The method of interpreting geometry by analysis has been used throughout instead of the method, perhaps more logical, but certainly more difficult, of taking the general equations, and interpreting them geometrically,

The discussion of the general equation of the second degree has therefore been omitted, but the equation is obtained in the last chapter from the definition of a conic section, and the case discussed in which the axes are tangents.

Symmetry of equations and of notation has been studied throughout the book.

In the ellipse, considerable prominence has been given to the excentric angle.

The examples have not been selected from Cambridge papers, as these are generally too hard for beginners : those at the beginning of each set are mere applications

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