Circle (EntityTopic, 15)
From Hi.gher. Space
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<blockquote>[!x,!y] ⇒ [[line (object)|line]] of length (''r''cos(π''n''/2))</blockquote> | <blockquote>[!x,!y] ⇒ [[line (object)|line]] of length (''r''cos(π''n''/2))</blockquote> | ||
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{{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube|gons}} | {{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube|gons}} | ||
{{Bracketope Nav|3|4|5|<xy><br>Diamond|(xy)<br>Circle|[xyz]<br>Cube|gons}} | {{Bracketope Nav|3|4|5|<xy><br>Diamond|(xy)<br>Circle|[xyz]<br>Cube|gons}} | ||
Revision as of 20:04, 17 August 2007
Geometry
A circle refers to the surface of a perfectly symmetrical planar object.
Equations
- Variables:
r ⇒ radius of circle
- All points (x, y) that lie on the surface of a circle will satisfy the following equation:
x2 + y2 = r2
- The hypervolumes of a circle are given by:
total edge length = 2πr
area = πr2
- The linear cross-sections (n) of a circle are:
[!x,!y] ⇒ line of length (rcos(πn/2))
Template:Curvagons
Template:Rotope Nav
| 3. Diamond | 4. (xy) Circle | 5. [xyz] Cube |
| List of bracketopes | ||
