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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 324

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 324
zo6 ^ Treatise j / - Part IlL N , become imaginary ; as the two roots of … an equation first become equal and then ima - " ginary . § U . The curves of the 3d ' 5th , 7th or ders , and all whose dimensions are odd numbers , must have , at least , two infinite arcs ; since equations whose dimensions are odd numbers have always one real root at least ; and conse quently ,…

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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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