SKEW LINES
Definition:
>2 nonparallel lines that do not intersect
>2 non-planar (therefore non-parallel and nonintersecting), and non-perpendicular lines
Shortest Distance
- the shortest distance between 2 skew lines
Shortest Horizontal Distance
- the sho

PIERCING POINTS
>a line can only pierce a plane in 1 point at most
Edgeview Method (locates PP and can establish
visibility in adjacent view)
* in this example, we want to establish visibility in ARP1
*Plane ABC and Line 12
1. make a line on the plane par

INTERSECTING & NON-INTERSECTING LINES
Condition for Intersecting Lines
-lines should intersect
-no line is perpendicular to the RP
-the point of intersection of the lines lie in a single
projection line
-if all of the above conditions are met, then you ca

LINE OF INTERSECTION OF PLANES
I. Cutting Plane Method
1. Test if ABC & 123 pierce each other using by
testing if these planes pierce these lines(you should get
2 piercing points at most):
ABC 12
23
13
123
AB
BC
AC
2. Project and connect the piercing poin

ANGLE
I. Between a Line & a Plane
EV-TS-TL METHOD
(this method achieves a TL and EV at the same view)
1. get EV of ABC in ARP1
2. get TS of ABC by making ARP2 parallel to EV
3. make ARP3 parallel to the line in ARP2 so that you'll
get a TL and EV at ARP3