Szilasi, Zoltán (2012) Two applications of the theorem of Carnot Annales Mathematicae et Informaticae. 40 pp. 135-144. ISSN 1787-6117
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Absztrakt (kivonat)
Using the theorem of Carnot we give elementary proofs of two statements of C. Bradley. We prove his conjecture concerning the tangents to an arbitrary conic from the vertices of a triangle. We give a synthetic proof of his theorem concerning the “Cevian conic”, and we also give a projective generalization of this result. Keywords: Carnot theorem; Pascal theorem; Menelaos theorem; barycentric coordinates; Cevian conic. MSC: 51M04; 51A20; 51N15
Mű típusa: | Folyóiratcikk | ||||||||
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Nyelv: | angol | ||||||||
Kötetszám: | 40 | ||||||||
ISSN: | 1787-6117 | ||||||||
Felhasználó: | Tibor Gál | ||||||||
Dátum: | 19 Feb 2019 18:42 | ||||||||
Utolsó módosítás: | 19 Feb 2019 18:42 | ||||||||
URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/2678 |
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