| Albert Ensign Church - Geometry, Descriptive - 1865 - 214 pages
...generated by moving a right line so as continually to touch a given curve, and pass through a given **point not in the plane of the curve. The moving line is** the rectilinear generatrix; the curve, the directrix ; the given point, the vertex of the cone ; and... | |
| Albert Ensign Church - Geometry, Descriptive - 1865 - 160 pages
...generated by moving a right line so as continually to touch a given curve, and pass through a given **point not in the plane of the curve. The moving line is** the rectilinear generatrix; the curve, the directrix ; the given point, the vertex of the cone; and... | |
| Albert Ensign Church - Geometry, Descriptive - 1867 - 210 pages
...generated by moving a right line so as continually to touch a given curve, and pass through a given **point not in the plane of the curve. • The moving line is** the rectilinear generatrix ; the curve, the directrix; the given point, the vertex of the cone; and... | |
| Albert Ensign Church - Geometry, Descriptive - 1868 - 222 pages
...generated by moving a right line so as continually to touch a given curve, and pass through a given **point not in the plane of the curve. The moving line is** the rectilinear generatrix; the curve, the directrix; the given point, the vertex of the cone; and... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...tangent plane and cutting the element of contact, is tangent to the cylinder. THE CONE. 15. DefvmM.on. A **conical surface is a curved surface generated by a...a given fixed point not in the plane of the curve.** Thus, if the straight line SA moves so as continually to touch the given curve ABCD, and in all its... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...and the sphere, which are called the THREE BOUND BODIES. THE CYLINDER. 2. Definition. A cylindrical **surface is a curved surface generated by a moving...line 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,... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...tangent plane and cutting the elenent of contact, is tangent to the cylinder. THE CONE. 15. Definition. A **conical surface is a curved surface generated by a...a given fixed point not in the plane of the curve.** Thus, if the straight line SA moves so i «/ is continually to touch the given curve ABCD, and in all... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...and the sphere, which are called the THREE ROUND BODIES. THE CYLINDER. 2. Definition. A cylindrical **surface is a curved surface generated by a moving...line 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,... | |
| William Chauvenet - Geometry - 1875 - 466 pages
...plane 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...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... | |
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