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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 363

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 363
5 And the two asymptotes meet in the center , constituting there an angle zr NS » . From this construction it is obvious , that when the circular arc CN « S touches the line AE , the angle SNA being then — SCN , the line NT will become parallel to CS ; and there fore CT and SI become infinite ,… … Instead of angles we now use three rulers DQ , CN , SP , which we suppose to revolve about the poles D , C , S , and cut one another always in three points N , Q ^ and P ; and carry ing any two of these intersections , as N and ( > , along the given straight lines AE , BE , the third intersection P…

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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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