Descriptive Geometry, As Applied to the Drawing of Fortification And Sterotomy. for the Use of the Cadets of the U.S. Military Academy

Cover Descriptive Geometry, As Applied to the Drawing of Fortification And Sterotomy. for the Use of the Cadets of the U.S. Military Academy
Descriptive Geometry, As Applied to the Drawing of Fortification And Sterotomy. for the Use of the Cadets of the U.S. Military Academy
Dennis Hart Mahan
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The simplest method of finding the true lengths of the elements between the vertical plane and horizontal cyl- inder will be to construct their projections on another vertical plane parallel to them. Let BJSThe the trace of such a plane on the horizontal plane containing the axis ZJif of the hori- zontal semi cylinder, and B& its trace on the given vertical plane. This assumed plane cuts from the horizontal semi cylinder an ellipse of which DJV^ is evidently the semi trans- verse axis, and!^ th...e radius of the semi cylinder, which is equal to the distance between the axis and the bounding element ^Dy is the semi conjugate; setting off this distance from JV to JV\ on a perpendicular to Z>3^, and describing- the quadrant of an ellipse i?iV^', on these lines as semi axes, it will be the half of the curve cut from the semi cylinder, and will be its position when the plane in which it lies is revolved around its trace BJST to coincide with the given horizontal plane. In this revolved position of the plane, the line Be', in which it cuts the given vertical plane, will be found in BC" perpendicular to SJV.

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