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/ˈbaɪˌæŋɡəl/ · noun
A digon or bigon; a two-sided shape (especially in non-Euclidean geometry).
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.
Then the right biangle CABD and the oblique biangle CPND are equivalent since the triangles API and BNI are congruent.
It is therefore natural to consider whether precisely this concept of a straight line, with which Kant¹¹ too was familiar, is the reason why Kant in the one passage says that the concept of a straight biangle is free of contradiction.
Use biangle when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Biangle means A digon or bigon; a two-sided shape (especially in non-Euclidean geometry).
Common synonyms include digon, bigon, diangle.
The opposite depends on the specific sense.
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.
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