Plane and Solid Analytic Geometry, by Frederick H. Bailey ... and Fredercik S. Woods ... PDF Download
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Author: Frederick Harold Bailey
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 390
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Author: Frederick Harold Bailey
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 390
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Book Description
Author: Frederick Harold Bailey
Publisher: Legare Street Press
ISBN: 9781015539631
Category :
Languages : en
Pages : 0
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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Frederick Harold Bailey
Publisher: Rarebooksclub.com
ISBN: 9781230090771
Category :
Languages : en
Pages : 74
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1898 edition. Excerpt: ...Find the similar relation for the hyperbola. Y Y CHAPTER VIII. THE PARABOLA: y' = 4px. 81. We have seen in 67 that, if we take the axis of the parabola as the axis of x and the line through the vertex perpendiculara to the axis of the parabola as the axis of y, the equation of the parabola assumes its simplest form, y' = 4px. This is the form of the equation we shall use in studying the parabola in this chapter. When the equation is in this form, the focus is the point (p, 0), and the equations of the axis and the directrix are respectively y = 0 and x =--p. Also, according to 78, the polar for the point (x, y, ) is yly =2p (x + x1), and the tangent at the point (x, y, ), if (x, y, ) is on the curve, is yly = 2p (x + x, ). If, however, the tangent is determined by its slope m, its equation, by (4), 76, is y = mx + 82. Constructions. Since the eccentricity of the parabola is always unity, it follows that every point of the parabola is equally distant from the focus and the directrix. From this fact we derive the two following methods of construction: (1) By compasses. Let F (Fig. 7 7 ) be the focus and DD' and FX be the directrix and the axis, respectively, of the parabola to be constructed. The vertex, V, will be on the line F X halfway from F to DD'. To determine other points of the parabola, draw a line, as AB, parallel to DD' and to the right of V. With F as a centre and a radius equal to the distance from DD' to AB describe an arc of a circle. This a'-will intersect AB at two points P' and P," which will be points of the parabola. Proceeding in this way we may determine as many points of the curve as we wish. (2) By a mechanical device. As before, F (Fig. 78)...
Author: Frederick Harold Bailey
Publisher:
ISBN:
Category : Geometry, Analytic
Languages : en
Pages : 392
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Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Frederick Harold BAILEY (and WOODS (Frederick Shenstone))
Publisher:
ISBN:
Category :
Languages : en
Pages : 371
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Author: Ginn & co., publishers
Publisher:
ISBN:
Category : Publishers' catalogs
Languages : en
Pages : 554
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Author: Ginn and Company
Publisher:
ISBN:
Category : Publishers' catalogs
Languages : en
Pages : 556
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 436
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 488
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