Monogon

English

Etymology

From Template:Confix.

Pronunciation

• Template:Audio
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Noun

1. Template:Lb A one-dimensional object comprising one vertex and one (not necessarily straight) edge both of whose ends are that vertex.
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   • 2003, Gordon Baker, translator and editor, Ludwig Wittgenstein and Friedrich Waismann, The Voices of Wittgenstein: The Vienna Circle, Routledge, Template:ISBN, 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?

2. Template:Lb 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.
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   • 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 $\alpha \subset {\partial }_{v}N(B)$ is in an interval fiber of ${\partial }_{v}N(B)$ and $\beta \subset {\partial }_{h}N(B)$.

   • Template:Ante, Thilo Kuessner, "A survey on simplicial volume and invariants of foliations and laminations", in, Paweł Walczak, et al., editors, Foliations 2005, Template:ISBN, page 295,

     An end-compressing monogon for F is a monogon properly embedded in the complimentaryTemplate:SIC region C which is not homotopic (rel. boundary) into $\partial C$.

3. Template:Lb A single-faceted reflector.
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   • 1999, William L. Wolfe, Infrared Design Examples,^[1] Tutorial Texts in Optical Engineering Volume TT36, SPIE Press, Template:ISBN, 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.

Quotations

To be listed under the applicable sense

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Synonyms

• henagon

Coordinate terms

• digon
• trigon
• polygon
• apeirogon

Derived terms

• monogonal

Translations

• Dutch: Template:T+
• Finnish: Template:T
• German: Template:T
• Polish: Template:T
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See also

• monogonic
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