QL-5: List of QL-Crosspoints
When 3 lines connecting QL-points concur, the point of concurrence is called a QL-Crosspoint.
In this list all possible non-registered QL-Crosspoints are listed originating from at least 3 connecting lines of QL-points in the range QL-P1 – QL-P26.
QL-points are mentioned without prefix “QL-”.
Lines are defined by 2 points on it with lowest serial number.
There are regularly recurring crossing lines with these Crosspoints. This is an indication for the occurrence of Perspective Fields (see QA-PF-1).
When the intersection points have fixed ratios of the distances to the defining points on the defining lines, then they are mentioned. There are many of them.
For point P on line P1.P2 the ratio d1 : d2 means that d(P,P1) : d(P,P2) = d1 : d2, where:
- d1 is positive when P is positioned wrt P1 at the same side of the line as P2. If not then d1 is negative.
- d2 is positive when P is positioned wrt P2 at the same side of the line as P1. If not then d1 is negative.
– P2.P5 ^ P3.P20 ^ P4.P12 1 : 1 / 1 : 1 / 3 : -1
– P2.P5 ^ P4.P20 ^ P6.P22 Infinity point
– P5.P8 ^ P14.P22 ^ P18.P20 -3 : 4 / -8 : 9 / -2 : 3
– P5.P14 ^ P8.P22 ^ P18.P20 9 : -4 / 8 : -3 / 2 : 3
– P5.P15 ^ P8.P20 ^ P18.P22 9 : -4 / 2 : 3 / 8 : -3
– P5.P18 ^ P8.P20 ^ P15.P22 4 : -3 / -2 : 3 / -8 : 9
– P9.P12 ^ P10.P14 ^ P11.P18 6 : -1 / 9 : 1 / 3 : 2
– P9.P15 ^ P10.P12 ^ P11.P18 9 : -2 / 6 : 1 / 3 : 4
– P9.P18 ^ P10.P12 ^ P11.P15 3 : 2 / 6 : -1 / 9 : -4
– P9.P18 ^ P10.P14 ^ P11.P12 3 : 1 / 9 : -1 / 3 : -1