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 343
merable ways of construct ing the fame equation . But those loci are to be preferred which are described most easily ; and therefore , the circle , of all conic sections , is to be preferred for the resolution of quadratic equations . S 22 . Let AB be perpendicular to AE , and upon AB describe the… … of the circle y - — ay - f - x 1 — o , will be changed into the proposed equa tion y 1 — py + q — o . We have therefore this construction for find ing the roots of the quadratic equation y 1 — py + q — o take AB p , and on AB describe a Y 2 semi -
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