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- W2316303604 abstract "Synopsis Two non-singular conies ω and α are said to be related by a pentagram if there exist pentads ofdistinct points { O i } on ω and { A i } on α (1 ≦ i ≦ 5) such that A 1 ≡ O 2 O 4 . O 3 O 5 , A 2 ≡ O 3 O 5 . O 1 O 4 , A 3 ≡ O 1 O 4 . O 2 O 5 , A 4 ≡ O 2 O 5 . O 1 O 3 and A 5 ≡ O 1 O 3 . O 2 O 4 . It is shown that relation by a pentagram is a poristic property; and a necessary condition on their mutual projective invariants that two nonsingular conies be so related is derived. Some ramifications are discussed." @default.
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- W2316303604 date "1979-01-01" @default.
- W2316303604 modified "2023-09-26" @default.
- W2316303604 title "Conics related by a pentagram: a problem of J. E. Reeve" @default.
- W2316303604 cites W2332781451 @default.
- W2316303604 doi "https://doi.org/10.1017/s030821050001698x" @default.
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