Complete Quadrilateral Research Articles

628. Note on 617 [V. 1. a. μ.] Vector Proof that the Mid-points P, Q, R of the Diagonals AC, BD, EF of a Complete Quadrilateral are collinear

628. <i>Note on</i> 617 [V. 1. a. <i>μ</i>.] <i>Vector Proof that the Mid-points P, Q, R of the Diagonals AC, BD, EF of a Complete Quadrilateral are collinear</i>

617. [V. 1. a. μ.] Vector Proof that the Mid-points P, Q, R of the Diagonals AC, BD, EF of a Complete Quadrilateral are collinear

617. [V. 1. a. μ.] <i>Vector Proof that the Mid-points P, Q, R of the Diagonals AC, BD, EF of a Complete Quadrilateral are collinear</i>

On A Configuration of 21 Points and 21 Lines Which Arises From the Complete Quadrilateral and Determines the Group of 168 Plane Collineations

Proceedings of the London Mathematical SocietyVolume s2_14, Issue 1 p. 106-110 Papers published in the proceedings of the London mathematical society On A Configuration of 21 Points and 21 Lines Which Arises From the Complete Quadrilateral and Determines the Group of 168 Plane Collineations W. Burnside, W. BurnsideSearch for more papers by this author W. Burnside, W. BurnsideSearch for more papers by this author First published: 1915 https://doi.org/10.1112/plms/s2_14.1.106 Read November 12th, 1914. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Volumes2_14, Issue11915Pages 106-110 RelatedInformation

A Property of the Harmonic Triangle of the Complete Quadrangle formed by the four points of contact of the four tangents to the Cubic Curve from a point on it

The following two propositions are necessary for what is to follow, and are very easy to prove.I. If A, B, C be three points such that B and C are conjugate with respect to the Polar Conic of A, then are C and A conjugate points with respect to the Polar Conic of B, and similarly with regard to the third vertex.A triangle possessing the property defined above, viz. that each pair of vertices are conjugate points with respect to the Polar Conic of the third vertex, is called an Apolar Triangle.

A Geometrical Theorem with application to the Proof of the Collinearity of the mid-points of the Diagonals of the Complete Quadrilateral

A Geometrical Theorem with application to the Proof of the Collinearity of the mid-points of the Diagonals of the Complete Quadrilateral