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A Treatise of Algebra in three Parts : I. the fundamental Rules and Operations : II. the Composition and Resolution of Equations of all Degrees and the different Affections of their Roots : III. the Application of Algebra and Geometry to each other ; The general Properties of Geometrical Lines (1779)

MacLaurin, Colin · printed for Nourse... · leaf 337

An illustration from A Treatise of Algebra in three Parts : I. the fundamental Rules and Operations : II. the Composition and Resolution of Equations of all Degrees and the different Affections of their Roots : III. the Application of Algebra and Geometry to each other ; The general Properties of Geometrical Lines, 1779, leaf 337
Chap . r . ALGEBRA . 3 f } therefore the curve must all lie in the two ad - … jacent angles KAE and KAe , and have AK and AE for its two asymptotes . § 18 . Let the equation given be a * — x * x x — b ) zz x 1 y ' 1 j so that,y — ± vV - T * * x * ~ X If x — o , then y becomes infinite , and therefore the ordi - nate at A is an asym ptote to the curve . If AB — b , and P be…

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More pictures from A Treatise of Algebra in three Parts : I. the fundamental Rules and Operations : II. the Composition and Resolution of Equations of all Degrees and the different Affections of their Roots : III. the Application of Algebra and Geometry to each other ; The general Properties of Geometrical Lines

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