# biangle

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## English

[edit]### Etymology

[edit]### Pronunciation

[edit]- IPA
^{(key)}: /ˈbaɪˌæŋɡəl/

### Noun

[edit]**biangle** (*plural* **biangles**)

- A digon or bigon; a two-sided shape (especially in non-Euclidean geometry)
**1895**, W. Burnside, “Kinematics of Non-Euclidean Space”, in Proceedings of the Edinburgh Mathematical Society^{[1]}, page 46:- If
*n*planes be drawn through any axis of the right-vector, each of which makes angles π/*n*with the planes on either side of it, the whole of space is divided into*n*congruent figures which may be called**biangles**, the space between any two adjacent planes being easily seen to be continuous with the vertically opposite space between them.

**1912**, Proceedings of the Edinburgh Mathematical Society^{[2]}, volumes 30-32, Scottish Academic Press, page 35:- Then the right
**biangle**CABD and the oblique**biangle**CPND are equivalent since the triangles API and BNI are congruent.

**2012**December 6, Gerold Prauss, “Kant and the Straight Biangle”, in Enno Rudolph, Ion-Olimpiu Stamatescu, editors, Philosophy, Mathematics and Modern Physics: A Dialogue^{[3]}, page 228:- It is therefore natural to consider whether precisely this concept of a straight line, with which Kant
^{11}too was familiar, is the reason why Kant in the one passage says that the concept of a straight**biangle**is free of contradiction.

#### Synonyms

[edit]#### Translations

[edit]digon —

*see*digon