monogon
Noun
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Noun
monogon (plural monogons)
- (geometry) A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.
- 2003, Gordon Baker, translator and editor, Ludwig Wittgenstein and Friedrich Waismann, The Voices of Wittgenstein: The Vienna Circle, Routledge, ISBN 0415056446, page 409,
- We explain to somebody what is a regular quadrilateral constructed within the circle; then a regular triangle and a regular bi-angle. Now we ask him to draw a regular monogon by analogy, and we probably think that he cannot do this. But what if he draws a point on the circle and says that it is a regular monogon?
- 2003, Gordon Baker, translator and editor, Ludwig Wittgenstein and Friedrich Waismann, The Voices of Wittgenstein: The Vienna Circle, Routledge, ISBN 0415056446, page 409,
- (geometry) A two-dimensional object comprising one vertex, one edge both of whose ends are that vertex, and one face filling in the hollow formed by that edge.
- 1987, Jonathan L. Gross and Thomas W. Tucker Topological Graph Theory, 2001 Dover Publications edition, ISBN 0486417417, page 231,
- According to Theorem 4.1.1, such a derived imbedding could be obtained from an imbedded voltage graph with one vertex, 6s+2 edges, and 4s+2 faces. Of these faces, 4s+1 should be 3-sided and satisfy KVL. The other face should be a monogon whose net voltage has order two.
- 2002, Tao Li, "Laminar Branched Surfaces in 3–manifolds", Geometry & Topology 6, page 158,
- There is no monogon in M-int(N(B)), ie, no disk D\subset M-int(N(B)) with \partial D=D\cap N(B)=\alpha\cup\beta, where \alpha\subset\partial_vN(B) is in an interval fiber of \partial_vN(B) and \beta\subset\partial_hN(B).
- ante 2006 Thilo Kuessner, "A survey on simplicial volume and invariants of foliations and laminations", in, Paweł Walczak, et al., editors, Foliations 2005, ISBN 9812700749, page 295,
- An end-compressing monogon for F is a monogon properly embedded in the complimentary
[ sic] region C which is not homotopic (rel. boundary) into \partial C.
- An end-compressing monogon for F is a monogon properly embedded in the complimentary
- 1987, Jonathan L. Gross and Thomas W. Tucker Topological Graph Theory, 2001 Dover Publications edition, ISBN 0486417417, page 231,
- (optics) A single-faceted reflector.
- 1999, William L. Wolfe, Infrared Design Examples,[http://books.google.com/books?id=jXKjVmqYBYEC ] Tutorial Texts in Optical Engineering Volume TT36, SPIE Press, ISBN 0-8194-3319-5, page 133,
- These devices also start with the monogon, a plane mirror, and include the bigon, a two-sided mirror, the trigon, quadrigon, and general n-gons.
- 1999, William L. Wolfe, Infrared Design Examples,[http://books.google.com/books?id=jXKjVmqYBYEC ] Tutorial Texts in Optical Engineering Volume TT36, SPIE Press, ISBN 0-8194-3319-5, page 133,
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003