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An introductory account of certain modern ideas and methods in plane analytical geometry (1894)

Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 100

An illustration from An introductory account of certain modern ideas and methods in plane analytical geometry, 1894, leaf 100
ona c(jnic 1 2 23 3 can be linearly constructed. For 23, 23 detei-mine I.: take any line tln-ough 1. meeting13, 12 in IL, III.: then 3 II. and 2 III. intersectin I. if thetangent at 3 is to be c(jnstiucted, V must be made the same as DESCRIPTIVE PROPERTIES OF CURVES. 85 3, and tlien 81 II. (i.e. 8… … 87. A better proof of these theorems depends on the ecjua-tion of a conic with four given elements (§ 75); this proof(from Salmons Conic Sections, % 267) is here given forPascals theorem : a few simple verbal changes will adapt itto Brianchons theorem. Let the six points taken in order (Fig. 26) be…

Geometry, Analytic -- Plane

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