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" A Cylindrical surface is a curved surface generated by a moving straight line which continually touches a given curve and in all its positions is parallel to a given fixed straight line not in the plane of the curve. "
Mensuration of lines, surfaces, and volumes - Page 40
by David Munn - 1873
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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

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

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

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

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...
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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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Elements of Plane and Solid Geometry

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...
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Elements of Plane and Solid Geometry

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...
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Elements of Plane and Solid Geometry

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...
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Elements of Plane and Solid Geometry

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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