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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 345

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 345
Chap . 2 . ALGEBRA . 327 The roots of the equationjy 1 + py + q o are … — AC ± CB ; as is demonstrated in the fame manner . § 24 . The roots of the equation y * — py — q r = o are determined by this construction . Take AB — \ p , BC — y/ ? , draw AC ; and the two roots stiall be AB ± AC . ] f the fe - A j ; P B cond term is positive , then the roots shall be - AB ± AC…

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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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