Deformations of Transformations of Ribaucour | Zendy

Luther Pfahler Eisenhart | Zendy

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Deformations of Transformations of Ribaucour

Author(s) -

Luther Pfahler Eisenhart

Publication year - 1916

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.2.3.173

Subject(s) - biology , gene expression , gene , adaptive evolution , context (archaeology) , evolutionary biology , genetics , adaptation (eye) , regulation of gene expression , expression (computer science) , genetic variation , computational biology , computer science , paleontology , neuroscience , programming language

and is the tangent of F at x. Dually then, r and 1/k being the absolute points, the conic F the Feuerbach circle, and the conic R a rectangular hyperbola on the four given orthocentric points, and having its centre c on F, if the common diameter of F and R meet R at points dd', then these points are double foci of circular curves of class 3 on the 6 lines; the circles with centres d and d' and touching F at c are the tritangent conics; and the two cubics touch F at c.

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