{"product_id":"elements-of-conic-sections-in-three-books-in-which-are-demonstrated-the-principal-properties-of-the-parabola-ellipse-and-hyperbola","title":"Elements of conic sections in three books: in which are demonstrated the principal properties of the parabola, ellipse, and hyperbola","description":"\u003cp\u003e\u003cb\u003eAuthor: \u003c\/b\u003eRichard Jack (?-1759)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eYear: \u003c\/b\u003e1742\u003cbr\u003e\u003cbr\u003e\u003cb\u003ePublisher: \u003c\/b\u003ePrinted by Tho. Wal. and Tho. Ruddimans\u003cbr\u003e\u003cbr\u003e\u003cb\u003ePlace: \u003c\/b\u003eEdinburgh\u003c\/p\u003e\n\u003cp\u003e\u003cb\u003eDescription:\u003c\/b\u003e\u003c\/p\u003e\n\u003cp\u003exii+332 pages with woodcut ornament to title and 9 folding engraved plates. Octavo (8\" x 5 1\/4\") bound in period mottled calf, spine in compartments and with modern (to style) brown leather label. (ESTC T140561) Fist edition.\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eElements of Conic Sections in Three Books: In Which Are Demonstrated the Principal Properties of the Parabola, Ellipse, and Hyperbola\u003c\/em\u003e is an influential 18th-century mathematical treatise written by the Scottish mathematician Richard Jack and originally published in 1742. The work is highly regarded as a classical reference for university-level study in synthetic geometry. It provides definitions, theorems, and proofs using purely geometric methods over algebraic abstractions.\u003c\/p\u003e\n\u003cp\u003eBook I: The Parabola – Focuses heavily on how the curve is generated and details key features like its axis, vertex, focus, directrix, diameters, ordinates, and tangents. Book II: The Ellipse – Establishes properties regarding conjugate diameters, axes, foci, and tangents, demonstrating foundational rules for how ellipses are structurally characterized. Book III: The Hyperbola – Explores the unique attributes of the hyperbola, focusing extensively on its asymptotes, conjugate diameters, foci, and tangency criteria.\u003c\/p\u003e\n\u003cp\u003eRichard Jack (d.1759) gave lectures on natural and experimental philosophy, first in Edinburgh and later in London. He also worked as a military engineer. The work was well-regarded and its subject matter features in a substantial article on conic sections in the first edition of the Encyclopaedia Britannica, 1771, which is credited to Jack.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eCondition: \u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e Corners bumped and rubbed, boards scuffed some internal spotting else good to very good.\u003c\/p\u003e","brand":"The Book Collector, Inc","offers":[{"title":"Default Title","offer_id":46088095137983,"sku":null,"price":650.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0530\/5614\/3551\/files\/jack.jpg?v=1787673011","url":"https:\/\/bookcollectorshop.com\/products\/elements-of-conic-sections-in-three-books-in-which-are-demonstrated-the-principal-properties-of-the-parabola-ellipse-and-hyperbola","provider":"The Book Collector, Inc","version":"1.0","type":"link"}