Paris: chez l'autheur et Thomas Moette, 1673. First Edition. Quarto, , 94, 6 pages; VG; bound in contemporary full calf, paneled spine with gilt, gilt titling; mild shelfwear and rubbing; with 25 folding engraved plates, of which 10 are folding plates preceding title page, 15 bound in the rear; woodcut vignette on title page, woodcut initials, head- and tail-pieces; remnant of small label to front pastedown; small red ink name stamp to ffep;
Phil. de la Hire De cycloide lemma., in rear, has has 13 figures from one or two plates trimmed and tipped in;
with five pages of handwritten French proofs in rear, preceded by an elegantly drawn proof.;
extremely scarce; SP consignment; shelved case 3.
Shelved Dupont Bookstore
Philippe de La Hire (or Lahire, La Hyre or Phillipe de La Hire) (1640-1718) was a French painter, mathematician, astronomer, and architect. His first work was published in 1672 and comprised only seven propositions with corollaries. This 1673 work regards the construction of the arc rampant. The problem is to construct a connected piece of a conic where two endpoints, and tangents at those endpoints, are given, together with one additional tangent line. The term 'harmonic' in 'harmonic conjugates' was first introduced in this text.;
La hire's first work on conic sections is a comprehensive study which clearly shows the influence of Desargues. The last six-page work is entitled Phil. de la Hire De cycloide lemma. La Hire issued two other comprehensive works on conic sections, Nouveaux Elemens des Sections Coniques was published in 1679 in French, and Sectiones Conicae was published in 1685 in Latin, and is perhaps the best known of the three. The Sectiones Conicae presents the material of Nouvelle Méthode with cleaner proofs, in many ways presenting Apollonius’ results.;