5G-s-P3   2^nd 5G-Kirikami Point

Given a Pentagon P1P2P3P4P5. We denote the intersection of P1P3 and P2P5 by P12. Similarly P23, P34, P45 and P51 are defined.

The 5 Miquel points M12, M23, M34, M45, M51of resp. P1P12P2P4, P2P23P3P5, P3P34P4P1, P4P45P5P2 and P5P51P1P3 are concyclic.

See [34], Seiichi Kirikami, QFG#760.

Properties

• 5G-s-P3(P1.P2.P3.P4.P5) = 5G-s-P4(P1.P3.P5.P2.P4). See [66], QPG-message #1398.
• 5G-s-P3(P1.P3.P5.P2.P4) = 5G-s-P4(P1.P2.P3.P4.P5).

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