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" A conical surface is a curved surface generated by a moving straight 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... "
Mensuration of lines, surfaces, and volumes - Page 42
by David Munn - 1873
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

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...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

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...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

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...
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Elements of Descriptive Geometry: With Its Applications to Spherical ...

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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

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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