General Problems of Shades And Shadows Formed Both By Parallel And By Radial Ra

Cover General Problems of Shades And Shadows Formed Both By Parallel And By Radial Ra
General Problems of Shades And Shadows Formed Both By Parallel And By Radial Ra
S Edward Samuel Edward Warren
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Assume any element, Ae, between the previously found points, a and 5, on the helices. Making the tangent, eL, equal to the arc esS" ; the point L is the intersection of this tangent with the horizontal plane of projection (D. G. 317). Then H'H being the intersection of the element Ae EV (52-2) with the horizontal plane, HL, is the horizontal trace. Of the tangent plane to the screw, at ee' (D. G. 347. ) Next, by drawing a ray (not . Shown in vertical projection) through A, E', it will pierce th...e horizontal plane of projection at 6 in the line AB, and 6HM will be the horizontal trace of a plane of rays through the assumed element.
Now, if the trace, HM, of this plane of rays, were found on a horizontal plane as far below its required point of contact, as the trace, II L, is now below ee', this new trace would be parallel to HM, the tangent at its point of contact would be parallel to eM, and their distance apart, measured on Ae, would be equal to ell. Hence the portion of the new tangent, cut off by the new trace, would be equal to eM.


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