The essentials of descriptive geometry . ace tT. Join N andP; this gives the V trace tT. The plane of the two lines thenis tTt. The traces must of course meet on the G. L. 43. Special Cases. Find the traces of the plane of two Hnes: 1. When one fine is parallel to H. 2. When one hne is parallel to H and the other parallel to V. 3. When one Hne is parallel to the G. L. 4. When one Hne is parallel to the G. L. and the other is paraUel to H or V. 5. When the two Hnes are given by their plans and end In working the above special cases it should be remembered that when a Hne Hes in a pl
The essentials of descriptive geometry . ace tT. Join N andP; this gives the V trace tT. The plane of the two lines thenis tTt. The traces must of course meet on the G. L. 43. Special Cases. Find the traces of the plane of two Hnes: 1. When one fine is parallel to H. 2. When one hne is parallel to H and the other parallel to V. 3. When one Hne is parallel to the G. L. 4. When one Hne is parallel to the G. L. and the other is paraUel to H or V. 5. When the two Hnes are given by their plans and end In working the above special cases it should be remembered that when a Hne Hes in a plane and is parallel toH or V, it will be parallel to the H or V trace of the plane. Seeobservations on planes, Article 23. 44. Proposition 4. Given the plan and elevation of a pointto pass through it a plane parallel to two lines whose plans andelevations are given. 52 PROBLEMS ON THE PLANE S3 Discussion. If through the given point two lines be drawnparallel to the two given lines, the plane of these two lines willbe the required Construction. Let the problem be to cut off the trough,Fig. 47, one of whose edges is NP, by a plane through P parallelto MN and NO. Through p draw pq and pr parallel to the planof the two given Hnes, nrn and no. Also draw pq and prparallel to mn and no. Find now where these lines, PQ andPR, which are parallel to the given lines, pierce H and V. PQpierces H at X and V at q. PR pierces V and y. Draw qyand extend it to T; also draw Tx. These are the H and V 54 ESSENTIALS OF DESCRIPTIVE GEOMETRY traces respectively, and since PR is parallel to H the trace tTshould be parallel to pr. The plane T then is the required planethrough P parallel to MN and MO.
Size: 1423px × 1757px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1910, bookidcu3192400462, bookyear1915
