ISBN: 9781154341485

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustra… More...

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1821 Excerpt: .27); and any point A of it will be found, by laying off from the vertex or centre f (fig. 29). the line Va equal to the distance VA' of the corresponding point a, A, of the surface, from its vertex (fig. 27). The curve NAN (fig. 29) represents on the developement the base of the cone This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1821 Excerpt: .27); and any point A of it will be found, by laying off from the vertex or centre f (fig. 29). the line Va equal to the distance VA' of the corresponding point a, A, of the surface, from its vertex (fig. 27). The curve NAN (fig. 29) represents on the developement the base of the cone of the figure 27. 180. The tangent to the curve, at the point A, would be constructed, by drawing the tangent Bf to the circle MBM, taking Bf equal to Bf (fig. 28); and joining/,3. For, the triangle ABf cannot be altered by the developemenj; and it is evident, that the radius BV of the sphere must be perpendicular to the tangent Bf, as well as to any other line of the tangent plane: consequently, the triangle ABf has a right angle at B, which, together with the part AB of the element of the cone, and the length Bf of the tangent, determine it. 181. Any other curve, traced on the surface of the cone, will!e obtained by the same method. In some instances it js even possible to find a curve on the developement without constructing its projections. The intersection of the plane PQR (fig. 27) has been determined on the developement (fig. 29), by measuring, at once, the distances of its'different points from the vertex V. The point L, for instance, comes in Li, when the element FA, which contains it, is brought into a position parallel to the vertical plane; and consequently Vll is its distance from the vertex: FL, fig. 29, has been made equal to it. EXAMPLE IV. To find the intersection of two surfaces of revolution, the axis of which are in the same plane. 182. As yet the intersections of surfaces have been obtained by means of auxiliary planes: this last example will show the use sometimes made of auxiliary surfaces. Let us take the vertical plane parallel to that of Books, , A-Treatise-on-Descriptive-Geometry-For-the-Use-of-the-Cadets-of-the-United-States-Military-Academy~~Claudius-Crozet, , , , , , , , , , General Books LLC<

2010, ISBN: 1154341488, Lieferbar binnen 4-6 Wochen Shipping costs:Versandkostenfrei innerhalb der BRD

Internationaler Buchtitel. In englischer Sprache. Verlag: Cambridge Scholars Publishing, 100 Seiten, L=152mm, B=229mm, H=6mm, Gew.=159gr, Kartoniert/Broschiert The book has no illustratio… More...

Internationaler Buchtitel. In englischer Sprache. Verlag: Cambridge Scholars Publishing, 100 Seiten, L=152mm, B=229mm, H=6mm, Gew.=159gr, Kartoniert/Broschiert The book has no illustrations or index. It may have numerous typos or missing text. However, purchasers can download a free scanned copy of the original rare book from the publisher's website (GeneralBooksClub.com). You can also preview excerpts of the book there. Purchasers are also entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Original Publisher: A. T. Goodrich; Publication date: 1821; Subjects: Geometry, Descriptive; Mathematics / Geometry / General; Technology<