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Geometrical Conic Sections; An Elementary Treatise in Which the Conic Sections Are Defined as the Plane Sections of a Cone, and Treated by the Method of Projections (Classic Reprint) - Softcover
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Excerpt from Geometrical Conic Sections; An Elementary Treatise in Which the Conic Sections Are Defined as the Plane Sections of a Cone, and Treated by the Method of Projections
For every triangle may be divided by a line through one of the angular points parallel to the line of intersection into two, each having its base parallel and its altitude at right angles to the line of intersection: the base of each will be unaltered by projection, the altitude diminished in the maximum ratio. Hence the area of each and therefore of the two together will be diminished in the maximum ratio. Hence, whatever its magnitude or position, every triangle is diminished by projection in the maximum ratio Of the planes.
But every figure, whether rectilinear or curvilinear, may be as nearly occupied by triangles as we please, by making them sufficiently numerous. Each of these will be diminish ed by projection in the maximum ratio of the planes; and therefore the figure composed of them will be diminished in the same ratio.
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Geometrical Conic Sections (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book is a groundbreaking treatise that approaches the study of conic sections through the method of projections. It extends the knowledge of known curves such as the circle to derive properties of their projections, including the ellipse and both types of hyperbola. The author's prodigious use of geometrical reasoning and diagrams constructs an innovative framework for understanding conic sections, introducing many new properties and simplifying others to a form more easily remembered and applied. This work is significant as one of the earliest and most comprehensive studies of conic sections using the method of projections and remains a valuable resource to scholars and students alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330205891_0
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Geometrical Conic Sections; An Elementary Treatise in Which the Conic Sections Are Defined as the Plane Sections of a Cone, and Treated by the Method of Projections (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330205891
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Geometrical Conic Sections; An Elementary Treatise in Which the Conic Sections Are Defined as the Plane Sections of a Cone, and Treated by the Method of Projections (Classic Reprint)
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330205891
Neu kaufen
EUR 27,21
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