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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 339

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 339
nces , who gives this curve no infinite arcs , but only a double nodus . Some other errors of the fame kind may be cor rected in that Treatise , from what we have said . § 19 . If the proposed equation can be resolv ed into two equations of lower dimensions , without affecting either y or x with… … fcisse AE in angles of 45 * , in the points A and B , whose distance AB = b , because that equa tion is resolved into these two y — * — o , and y — x - f - b — o . After the same manner , some cubic equations can be resolved into three simple equations , and then the locus is three straight lines ;…

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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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