| William Chauvenet - Geometry - 1871 - 380 pages
...the cone, and the sphere, which are called the THREE BOUND BODIES. THE CYLINDER. 2. Definition. A. **cylindrical surface is a curved surface generated...which continually touches a given curve, and in all** of its positions is parallel to a given fixed straight line not in the plane of the curve. Thus, if... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...element of contact, is tangent to the cylinder. \L 1 •-f~.lt THE CONE. 15. Definition. A conical **surface is a curved surface generated by a moving...line which continually touches a given curve, and** passes through a given fixed point not in the plane of the curve. Thus, if the straight line SA moves... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...and cutting the elexent of contact, is tangent to the cylinder. THE CONE. 15. Definit.on. A conical **surface is a curved surface generated by a moving...line which continually touches a given curve, and** passes through a given fixed point not in the plane of the curve. Thus, if the straight line SA moves... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...surface generated by a inoviug straight line which continually touches a given curve, ami iu all of **its positions is parallel to a given fixed straight line not in the plane of the curve.** Thus, if the straight line Aa moves so as continually to touch the given curve AB CD, and so that in... | |
| William Chauvenet - Geometry - 1875 - 466 pages
...and cutting the cleiient of contact, is tangent to the cylinder. THE CONE. 15. Definii on. A conical **surface is a curved surface generated by a moving...straight line which continually touches a given curve,** ;uid passes through a given fixed point not in the plane of the curve. Th us, if the straight line... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...symmetry. (?) BOOK Til. I. THE CYLINDER. 427. Definitions and Illustrations. 1. A cylindrical surface is a **surface generated by a moving straight line which continually touches a given curve and** has all of its positions parallel to a given straight line not in the plane of the curve. Thus, the... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...rt. AX 2 E. That is, S = 4 rt. AX (E - F). Since E + 2 = V + F, § 594 ON THE CYLINDER. 596. DEF. A **Cylindrical surface is a curved surface generated...fixed straight line not in the plane of the curve.** E Thus, the surface ABC D, generated by the moving line AD continually touching the curve ABC and always... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...That is, S = 4 rt. AX (E — F). Since E + 2 = F + F, § 594 ON THE CYLINDER. 596. DEF. A Сylindrical **surface is a curved surface generated by a moving...fixed straight line not in the plane of the curve.** Thus, the surface ABСD, generated by the moving line AD continually touching the curve ABС and always... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...E+ 2 = F + F, §594 ON THE CYLINDER. 596. DBF. A Cylindrical surface is a curved surface gencrated **by a moving straight line which continually touches...fixed straight line not in the plane of the curve.** E Thus, the surface ABCD, generated by the moving line AD continually touching the curve ABC and always... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...rt. AX (E — F). Since E + 2 = V + F, § 594 GEOMETRY. — BOOK VII. ON THE CYLINDER. 596. DEF. A **Cylindrical surface is a curved surface generated...its positions is parallel to a given fixed straight** lino not in the plane of the curve. Thus, the surface AB С D, generated by the moving line AD continually... | |
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