Take e, F, G and h on AB, BC, CD and Da of space quadrilateral ABCD If it can intersect with EF and GH at a point P, what is the position of point P?

Take e, F, G and h on AB, BC, CD and Da of space quadrilateral ABCD If it can intersect with EF and GH at a point P, what is the position of point P?

P on line AC
Because P is on EF and EF is on face ABC, P is on face ABC
Similarly, P is also on ACD
So, P is on the intersection of plane ABC and plane ACD
The intersection line is AC
It is proved by mathematical symbols that:
∵ P ∈ EF, EF &; face ABC
P ∈ plane ABC
The same as P ∈ plane ACD
P ∈ surface ABC ∩ surface ACD = AC
That is p ∈ AC

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