| Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...intersects the tangent plane (of which NH is the trace) is tangent to the upper curve at the point (O,O'). The lines HO and H'O' are the projections of this...of revolution whose axes are in the same plane, and tn draw a tangent line to the curve. § 140. PI. 16. If the axes are in the same plane, they will either... | |
| Charles Davies - Geometry, Descriptive - 1838 - 314 pages
...intersects the tangent plane (of which NH is the trace) is tangent to the upper curve at the point (O,O'). The lines HO and H'O' are the projections of this...curve. PROBLEM XXXIII. To find the intersection of tivo surfaces of revolution whose axes are in the same plane, and to draw a tangent line to the curve.... | |
| Charles Davies - Geometry, Descriptive - 1844 - 252 pages
...intersects the tangent plane (of which NH is the trace) is tangent to the upper curve at the point (O,O'). The lines HO and H'O' are the projections of this...are in the same plane, and to draw a tangent line to the curve. § 140. PL 16. If the axes are in the same plane, they will either intersect each other... | |
| Albert Ensign Church - Geometry, Descriptive - 1865 - 214 pages
...and join the points PM, &c., and we have the development of the base of the cone. 179. PROBLKM 49. To find the intersection of two surfaces of revolution, whose axes are in the same plane. First, let the axes intersect and let one of the surfaces, be an ellipsoid of revolution and the other... | |
| Albert Ensign Church - Geometry, Descriptive - 1865 - 160 pages
...and join the points PM, &c., and we have the development of the base of the cone. 179. PROBLEM 49. To find the intersection of two surfaces of revolution, whose axes are in the same plane. First, let the axes intersect and let one of the surfaces be an ellipsoid of revolution and the other... | |
| Albert Ensign Church - Geometry, Descriptive - 1867 - 210 pages
...and join the points PM, &c., and we have the development of the base of the cone. 179. PROBLEM 49. To find the intersection of two surfaces of revolution, whose axes are in the same plane. First, let the axes intersect" and let one of the surfaces be an .ellipsoid of revolution and the other... | |
| Albert Ensign Church - Mathematics - 1868 - 222 pages
...and join the points PM, &c., and we have the development of the base of the cone. 179. PROBLEM 49. To find the intersection of two surfaces of revolution, whose axes are in the same plane. First, let the axes intersect and let one of the surfaces be an ellipsoid of revolution and the other... | |
| Charles William MacCord - Geometry - 1895 - 268 pages
...of points may be found in a similar manner. INTERSECTIONS OF DOUBLE-CURVED SURFACES. 218. PROBLEM 1. To find the intersection of two surfaces of revolution* whose axes are in the same plane. Analysis. If the axes intersect, take the point of intersection as the common centre of a series of... | |
| Charles William MacCord - Geometry, Descriptive - 1895 - 272 pages
...of points may be found in a similar manner. INTERSECTIONS OF DOUBLE-CURVED SURFACES. 218. PROBLEM 1. To find the intersection of two surfaces of revolution whose axes are in the same plane. Analysis. If the axes intersect, take the point of intersection as the common centre of a series of... | |
| William Shaffer Hall - Geometry, Descriptive - 1902 - 160 pages
...curve. A tangent to the curve at any point may be constructed as in the preceding problem. PROB. 147. To find the intersection of two surfaces of revolution...axes are in the same plane, and to draw a tangent to the curve of intersection at any point. Anafysis. If the axes of the two surfaces are parallel,... | |
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