Items related to Trisection De L'angle (French Edition)
Synopsis
Trisection De L'angle by L. P. V. M. Azemar. This mathematical work tackles the classical problem of dividing any given angle into three equal parts using only a straightedge and compass. It centers on a rigorously described curve called the trisectrix, which is generated in tandem with the enclosing circle as the angle is trisected. The geometric portion, attributed to Azemar, develops the construction of the curve via a moving diameter and explores the curve’s properties, including relationships among chords, arcs, and tangents, with additional constructions that yield the triple of an arc. The analytic portion, by J. Garnier, provides polar and rectangular equations for the curve and discusses related coordinate forms, tangents, and the geometry of associated figures. The volume also outlines the construction of a precision instrument for tracing the curve and closes with reflections and bibliographic material. It contains two parts—geometric and analytic—and a subsequent expansion that presents a second curve and broader considerations for trisection and related problems.
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