Elements of Descriptive Geometry
Format: Paperback
ISBN13: 9780217470377
Paperback|9780217470377
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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: 10. In Problem XV. let the line through which the plane is drawn be parallel to the ground line. 11. In Problem XVI. suppose one of the lines to be parallel to the ground line. vx 12. Let it be required to draw a plane through a given point, and parallel to a given plane. CHAPTER III. OF LINES AND THEIR TANGENTS. 62. For the purposes of Descriptive Geometry, lines may be divided into three classes. 1. Theight line, which does not change its direction between any of its points. 2. Curved lines whose points are in the same plane, which are called curves of single curvature. 3. Curved lines whose points are not in the same plane, which are called curves of double curvature. 63. Lines may be generated by the motion of points: the conditions which govern this motion fix their different positions, and determine the class to which the lines generated belong. PI. 6. Fig. 1. Suppose, for example, that a point should move from C, with the conditions of continuing in the plane of the paper, and at the same distance from the line AB; it would evidently generate a right line, passing through C, and parallel toAB. PI . 6. Fig. 2. If a point move from B, with the conditions that it shall not depart from the plane of the paper, and be constantly at the same distance from a fixed point A, it will generate the circumference of a circle, a curve of single curvature. If the point were subjected to the first condition only, it would still generate a curve of single curvature, unless the point were to move in a right line. If the point B were sub- StviO.Sc. jected to the second condition, to the exclusion of the first, it would generate a curve of double curvature, which would lie on the surface of a sphere whose centre is A, and radius AB. Other curves, both...
| ISBN-13 | 9780217470377 |
|---|---|
| ISBN-10 | 0217470378 |
| Weight | 0.42 Pounds |
| Dimensions | 9.00 x 6.00 x 0.28 In |
| List Price | $19.99 |
| Format | Paperback |
|---|---|
| Pages | 120 pages |
| Publisher | |
| Published On | 2009-08-01 |
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