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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 225

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 225
iz . — ~ y 1 ? and 1 ± \ / — 2 , are the four roots 2 of the proposed equation , the two last of which are impossible . The divisors which the other arithmetical progressions give , do not suc ceed . § 70 . After the same manner a Rule may be discovered for finding the cubic divisors , or those of… … Where the first differences are not themselves in arithmetical progression , as in the last cafe , but the differences of its terms , or the second dif ferences , are in arithmetical progression , the common ,

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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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