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urp:geometry [2021-10-13] nerf_herder |
urp:geometry [2021-11-17] (current) nerf_herder |
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* [[Angles|Angles and Vectors]] | * [[Angles|Angles and Vectors]] | ||
- | * [[Polygons]] | ||
* [[Triangles]] | * [[Triangles]] | ||
* [[Circles|Circles, Chords, etc]] | * [[Circles|Circles, Chords, etc]] | ||
- | * [[Graphing|Graphing curves, circles, etc.]] | + | * [[Polygons]] |
+ | |||
+ | === misc === | ||
+ | Truth tables: | ||
+ | first columns : True/False values of the variables, such as p, q, or p' or ~p for inverse values. Next columns are logic combinations of the variables | ||
- | ====Polygons==== | + | | p | q | p ⋂ q | p ⋃ q| p => q | |
+ | | T | T | T | T | T | | ||
+ | | T | F | F | T | F | | ||
+ | | F | T | F | T | T | | ||
+ | | F | F | F | F | T | | ||
- | The __sum of angles in a polygon__ = 180 (n - 2), where n = number of sides. This can also be written as: 180 + 180 (n-3). (Basically you add in another triangle when adding a side to polygon) | + | p => q means condition p implies condition q. If p is true, then an implication can be drawn or not, depending on q. If p is false, then an implication cannot be ruled out, regardless of q, so it is left as true. |
=== See Also === | === See Also === | ||
- | * https://www2.clarku.edu/faculty/djoyce/trig/identities.html | ||
* 11 pages of definitions, postulates and theorems: http://www.ouchihs.org/ourpages/auto/2013/7/26/52822673/Geo-PostulatesTheorems-List.pdf | * 11 pages of definitions, postulates and theorems: http://www.ouchihs.org/ourpages/auto/2013/7/26/52822673/Geo-PostulatesTheorems-List.pdf | ||
Back to [[math]] page. | Back to [[math]] page. | ||