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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 347

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 347
Chap . 2 . ALGEBRA . 329 beginning at A any given point in the line AE . … Let CF be the diameter of the parabola whose ordinates are parallel to PM . Draw AH parallel to CF meeting PM in N ; and AD parallel to PM meeting CF in D . Because the angles HAK , APN , ANP , are given the lines AP , PN , AN , will be in a given ratio to each other : suppose them to be always ass…

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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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