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The circularsaw3 oriented matroid

This pseudoline arrangement is a uniform variation of Ceva's theorem, which has an easy to prove slope constraint (as a line arrangement, with line 0 projected to infinity). Carroll, [2000d] shows:

   sin(θFE)sin(θDC)sin(θBA) < sin(θFA)sin(θED)sin(θCB)

With line 0 projected to infinity.

With line A projected to infinity.

With line B projected to infinity.