Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . is theline HH. This gives /?, a point in the of the required plane. Through hdraw the marked ST, and through 5 draw RS at right angles to the elevation TANGENT PLANES TO A SPHERE 95 of the radius. RST is the plane required. The height of /» above XY is takenfrom the rabattement, as indicated by the bracket line. This construction, , will be necessary, used conversely, when the trace of a plane tangent to a sphereis given, and it is required to find the othe
Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . is theline HH. This gives /?, a point in the of the required plane. Through hdraw the marked ST, and through 5 draw RS at right angles to the elevation TANGENT PLANES TO A SPHERE 95 of the radius. RST is the plane required. The height of /» above XY is takenfrom the rabattement, as indicated by the bracket line. This construction, , will be necessary, used conversely, when the trace of a plane tangent to a sphereis given, and it is required to find the other trace of the plane and the projectionsof the tangent point. EXKRCISK XXXVII 1. Find the planes tangent to the sphere whose projections are at .1, each containing apoint on its surface, for which /> is the elevation. 2. A sphere, 2 diameter, touches both planes of projection. Find the two planes, eachtouching the sphere in a point 15 above the and i§ from the 3. A sphere is given at B, and the of a plane tangent to it. Find the and alsoshow the plan and elevation of the tangent [) 4. Find the traces of a plane tangent to the sphere whose projections are at C, and makeit perpendicular to the line AB, whose projections are given. Mark the plan and elevationof the tangent point. 5. Find the traces of three planes equally inclined to each other and all at 60^ to the ihcm be tangent to a sphere of 2 diameter, resting on the with centre i^ from the \. also the inclination between any two of the tangent planes. By and examination it should be realized that a sphere may beenveloped by a right circular cone, having for its apex any point outside thesphere, and that if two cones envelope the same sphere, a tangent plane to thesphere may contain both apexes; also, that any two unequal spheres may be en-veloped by a cone, the apex of which will lie in the line passing through their tangent lines on the surfaces of s
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