The line of crossing of two planes represents a set of points which the general for these planes. From these points allocate basic with which creation of the line begins. Carry the top and lower points concerning that or other plane to them, the points which are in a visibility range and other points, important for creation of this line.
It is required to you
- - simple pencil;
- - notebook;
- - handle.
Instruction
1. Attentively study task conditions: from that, how correctly you will understand it, the final result in many respects depends.
2. For creation of the line of crossing of two planes find two general points of these planes through which you will draw further a straight line. Pay attention that the plane set by a triangle of ABC can be presented by straight lines (AV), (EXPERT), (VS). A point with which direct (AV) it is crossed with plane a', designate D, and with direct (AC) call F point. Thus, the piece (DF) will define the line of crossing of these two planes. In view of the fact that an is horizontally projecting plane, the projection of a piece of D1F1 will coincide with a trace from the plane ap1. From here leaves that you needed only to construct missing projections of a piece (DF) on P2 planes and also P3.
3. In that case if the planes of the general provision are given, we will call them a (m, v) and b (ABC), creation of the line between two planes carry out by input of two auxiliary secants of the planes (y and c). After that find lines of crossing of these planes with those planes which are set on a task condition. Let plane y will be crossed with plane a on a straight line (12), and with plane b - on a straight line (34). Straight lines (12) and (34) have the general point of intersection P which at the same time belongs to three planes a, b and y. Assume that the plane in is crossed with plane a on a straight line (56), and with plane b - on a straight line (78). A point of intersection of straight lines (56) and (78) – To (it belongs to three planes a, b and y and also lines of crossing of planes an and b). So, RK will also be the line of crossing of planes an and b.