Descriptive geometry . PLANE TANGENT TO CYLINDER 77. of the cylinder. 2. Determine the traces ofthe plane of these two lines. 3. Draw thetraces of the tangent plane parallel to thetraces of the auxiliary plane (Art. 18, page12), one of the traces being tangent to thebase of the cylinder. There may be two tan-gent planes. Construction. Fig. 155. Through anypoint, ^, of the given line A, draw line B paral-lel to the elements of the cylinder. The tan-gent planes will be parallel to X, the plane ofthese lines. iV and S will be the requiredtangent planes. no. A plane is tangent to a double-curvedsu
Descriptive geometry . PLANE TANGENT TO CYLINDER 77. of the cylinder. 2. Determine the traces ofthe plane of these two lines. 3. Draw thetraces of the tangent plane parallel to thetraces of the auxiliary plane (Art. 18, page12), one of the traces being tangent to thebase of the cylinder. There may be two tan-gent planes. Construction. Fig. 155. Through anypoint, ^, of the given line A, draw line B paral-lel to the elements of the cylinder. The tan-gent planes will be parallel to X, the plane ofthese lines. iV and S will be the requiredtangent planes. no. A plane is tangent to a double-curvedsurface when it contains one, and only onepoint of that surface. The two lines com-monly determining the tangent plane are thelines tangent to the meridian and parallel atthe point of tangency (Art. 102, page 70). A Normal is the line perpendicular to thetangent plane at the point of tangency. A Normal Plane is any plane containing thenormal. 78 DESCRIPTIVE GEOMETRY III. One projection of a point on the surfaceof a double-curved surface of revolution
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