 | Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...horizontal trace of the tangent plane, and two tangent planes can be drawn answering the conditions cf the problem, since two lines can be drawn through...The last three problems would have been constructed SloaJlSc, in nearly the same manner, had the surfaces been cylindrical instead of conical. Indeed,... | |
 | Charles Davies - Geometry, Descriptive - 1868 - 258 pages
...point of the vertical trace : hence F'N' is the vertical trace of a plane parallel to (IH, I'll'), and tangent to the surface of the cone. If we draw...The last three problems would have been constructed in nearly the same manner, had the surfaces been cylindrical instead of conical. Indeed, we may consider... | |
 | Samuel Edward Warren - Geometry, Descriptive - 1888 - 328 pages
...plane. The lines to be chosen in this case, according to the conditions of the problem, are, a line, L, through the vertex of the cone, and parallel to the given line, and a tangent line to the cone from any point of the line L. The former will make the required plane... | |
 | Otis Everett Randall - Geometry, Descriptive - 1905 - 232 pages
...straight line. Analysis. Since the required plane must contain the vertex of the cone, a straight line through the vertex of the cone and parallel to the given line will be a line of the required plane. A plane containing this auxiliary line and tangent to the cone... | |
 | Adam Vause Millar, Edward Silver Maclin - Geometry, Descriptive - 1913 - 152 pages
...5. Represent a plane which is tangent to a given cone and parallel to a given straight line. (A line through the vertex of the cone and parallel to the given line will lie in the required tangent plane.) CONVOLUTES 113. A convolute is the path of a straight line... | |
 | Adam Vause Millar, Edward Silver Maclin - Geometry, Descriptive - 1913 - 152 pages
...5. Represent a plane which is tangent to a given cone and parallel to a given straight line. (A line through the vertex of the cone and parallel to the given line will lie in the required tangent plane.) CONVOLUTES 113. A convolute is the path of a straight line... | |
 | William Lewis Ames, Carl Wischmeyer - Geometry, Descriptive - 1918 - 130 pages
...Problem 54. Problem 56. — To pass a plane tangent to a given cone and parallel to a given line. A line through the vertex of the cone and parallel to the given line determines the required plane as in Problem 55. NOTE. — The methods of the preceding problems apply... | |
| |
I'H'), and tangent to the surface of the cone. If we draw through E the tangent EP, it will be the horizontal trace of the second plane which is parallel to the given line (IH, I'H'), and tangent to the surface of the cone. The vertical trace of this... 