Open AccessA geometrical proof of the theorem of a double six of straight lines
Publication year - 1911
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1911.0014
Subject(s) - quadric , simple (philosophy) , mathematics , plane (geometry) , pure mathematics , calculus (dental) , geometry , philosophy , medicine , epistemology , dentistry
We assume that if two quadric surfaces have common two intersecting generators, their remaining common points lie upon a plane. This is capable of simple geometrical proof. Further, we prove a subsidiary theorem regarding eight straight lines, which we name 1, 2, 3, 4, 1′, 2′, 3′, 4′, which satisfy certain conditions.