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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
explementary
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(Definition)
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The explementary arc of an arc $a$ of a circle is the arc forming together with $a$ the full circle.
Two angles are called explementary angles of each other, if their sum is the full angle $2\pi$ , i.e. $360^\circ$ . In the below picture, the interior angle $\alpha = 60^\circ$ of an equilateral triangle and its explementary angle $\beta = 300^\circ$ (which is an exterior angle of the triangle) are seen.
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"explementary" is owned by pahio.
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Cross-references: triangle, equilateral triangle, sum, angles, circle, arc
There are 3 references to this entry.
This is version 5 of explementary, born on 2007-10-11, modified 2009-06-04.
Object id is 9988, canonical name is Explementary.
Accessed 2788 times total.
Classification:
| AMS MSC: | 51F20 (Geometry :: Metric geometry :: Congruence and orthogonality) | | | 51M04 (Geometry :: Real and complex geometry :: Elementary problems in Euclidean geometries) |
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Pending Errata and Addenda
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{$\beta$} \rput(-2,-0.5){.} \rput(2,3){.} \end{pspicture}](http://images.planetmath.org:8080/cache/objects/9988/js/img1.png "\begin{pspicture}(-2,-1)(2,3) \pspolygon(-1.5,0)(1.5,0)(0,2.6) \psarc(0,2.6){0.2... ...ha$} \rput[a](-0.2,2.9){$\beta$} \rput(-2,-0.5){.} \rput(2,3){.} \end{pspicture}")