LA HIRE, Nouveaux élémens des sections coniques, 1679

LA HIRE, Philippe De.

Nouveaux élémens des sections coniques, les lieux géométriques, la construction, ou effection des équations.

Paris, André Pralard, 1679.

12mo (153x87 mm), (12)-452 pages. binding : Contemporary full calf, gilt spine in six compartments. Spine slightly worn and repairs. Light waterstain in upper margin.

First edition.
Philippe de La Hire (1640-1718) is a French mathematician, he is the successor of Desargues and Pascal in the geometry of conics, in that he deduces the properties of conics from the properties of the circle.
La Hire innovates compared to his two predecessors, in that he exploits to the maximum the properties of invariance of harmonic division, which allows him to reason almost exclusively in the plane (and not in space).
This approach leads him to develop the notions of poles and polars, homology, orthoptic locus, etc.

references: Macclesfield [2005, V. n°1180 : "First edition. La Hire's exposition of the properties of conic sections provides a useful summary of the advances made in analytic geometry, and contains ideas such as the possible extension of space to more than three dimensions"].

Price : 1500 €

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