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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 327

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 327
Chap . i . A L G E B R A . 3 ® 9 A beyond B , than x becomes greater than b , and ax greater than ab , so that ab — ax being … negative , \ /ab — ax becomes imaginary , and the two values of y become imaginary ; that is , beyond B there are no ordinates that meet the curve , and consequently , en that fide , the curve is limited in B . All this agrees very well with what is known by other methods , that the curve whose…

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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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