Theorema Pascalium

Hexagrammum mysticum inscriptum est circulo. Lineae trium laterum hexagoni prolongatae in imagine rubro colore inscriptae tres intersectiones M, N, et P faciunt quae omnes in una linea iacent.

Theorema Pascalium[1] describit hexagrammum mysticum et agit de quadam proprietate peculiare quam hexagrammata vel potius hexagona habent si in circulo sectionis conicae quoddam inscripta sunt. Theorema ex Blasio Pascale appellatur.


Nota

  1. ↑ G O T T F R I E D W I L H E L M L E I B N I Z SÄMTLICHE SCHRIFTEN UND BRIEFE HERAUSGEGEBEN VON DER BERLIN-BRANDENBURGISCHEN AKADEMIE DER WISSENSCHAFTEN UND DER AKADEMIE DER WISSENSCHAFTEN IN GÖTTINGEN SIEBENTE REIHE MATHEMATISCHE SCHRIFTEN VIERTER BAND 2008 (Germanice, Latine) Hic nomen "theorema Pascalium" invenitur sed alium theorema esse videtur.

Bibliographia

  • Conway, John, et Alex Ryba. 2012, "The Pascal Mysticum Demystified." The Mathematical Intelligencer 34 (3): 4–8. doi:10.1007/s00283-012-9301-4. S2CID 122915551.
  • Stefanovic, Nedeljko. 2010, "A very simple proof of Pascal's hexagon theorem and some applications." Proceedings—Mathematical Sciences. Indian Academy of Sciences. [1]
  • van Yzeren, Jan. 1993. "A simple proof of Pascal's hexagon theorem." The American Mathematical Monthly, Mathematical Association of America 100 (10): 930–31. doi:10.2307/2324214. ISSN 0002-9890. JSTOR 2324214. MR 1252929.