Science and art drawing; complete geometrical course consisting of plane and solid geometry, orthographic and isometric projection, projection of ... graphic arithmetic and graphic statics - Softcover
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1895 Excerpt: ...traces of plane K, and J, cutting XY in b, and K in a, the H.T. of plane J. Draw any line gh at right angles to the line J, and intersecting it in e. With b as centre, and radii ba and be, draw ares till they meet XY in c and /. At b draw a perpendicular to XY till it meets K' in d'. Join cd'. Then bed' is the angle the plane K forms with the H.P. From /draw the line fn' perpendicular to cd'. Set off from e, ek equal to fn'. Join kh. Then Ikh is the angle required. The principle is this: keh is a right-angled triangle, of which fn is the altitude; this triangle is rotated on the side eh till it coincides with the H.r., i.e. it is "constructed" into the H.P. Problem 97. To determine the angle between a plane L inclined to both planes of jjrojection and a plane M also inclined to both the H.P. and V.P., but parallel to XY, their traces being given. Fig. 127. Let L and L' be the traces of plane L, and M and M' the traces of plane M. Find the projections of the line of intersection between these two planes (Prob. 90), as ab and a'b'. Draw the line hg at right angles to ab, and intersecting it in e. With b as centre, and radii ba and be, draw ares till they meet XY in c and /.--Join cb', then b'cb is the inclination of plane L with the H.P. From / draw fn' perpendicular to cb'. From point I, where hg cuts the H.T. of plane L, set off a distance equal to fn, till it meets the line ab in k. Join Ik and kh. Then Ikh is the angle required. Ikh represents a triangle, of which k is the apex, rotated on the line hi till it coincides with the H.P. Problem 98. To determine the angle between two planes N and O, both of which are inclined to the H.P. and V.P., with their V. traces parallel to each other, their traces being given. Fig. 128. Let N and N', O and O',...
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- PublisherRarebooksclub.com
- Publication date2012
- ISBN 10 1130213250
- ISBN 13 9781130213256
- BindingPaperback
- Number of pages110
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