| Albert Ensign Church - 1865 - 214 pagina’s
...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 - 1865 - 160 pagina’s
...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 - 1867 - 210 pagina’s
...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 - 1868 - 222 pagina’s
...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 - 1871 - 380 pagina’s
...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 - 1871 - 380 pagina’s
...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 - 1872 - 382 pagina’s
...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 - 1872 - 382 pagina’s
...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 - 1875 - 466 pagina’s
...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 - 1876 - 384 pagina’s
...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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