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 269
Chap . i o . ALGEBRA . . 251 square may express its distance from the line AC , Of this square we are to observe , … 1 . That the terms are not only in geome trical progression in the vertical column AB , or the horizontal AC , and their parallels ; but al so in the terms taken in any oblique straight line whatever ; for in any such term it is ma nifest that the indices of j and x will be in arith metical…
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![An illustration from Ars inveniendi sive partitio [AMA] [d]amae, das ist, Die in dem antiquen progressions-quadrat der lunae durch Zahlen, Buchstaben und Linien verhüllte entia invisiblia : welche aus dem Pythagorischen Gedancken-Gemähld, oder metathesi numerorum, vermittelst der entschleyerten Sphinx-Zahl 32. aufgesucht, und die radices figuratorum der exacten delineation ausmachen ... : so dass durch Hülffe der diagrammatischen Dreyangel, die geometrische proportion, und die regulaire mahlerische und optische Erfindungs-Kunst, mit und ohne die logarithmische Lini kan erlangt ... (1734)](https://img.insideoutlibrary.com/img/200/ia-gri_33125011131386-63-0.webp)
