Euclidean geometry: Difference between revisions
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imported>Richard Pinch (added rigid motions and dilation to the list) |
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*A '''[[point (geometry)|point]]''' is a mathematical object which has a position but neither length nor breadth nor depth. | *A '''[[point (geometry)|point]]''' is a mathematical object which has a position but neither length nor breadth nor depth. | ||
*[[line (geometry)|line]] or '''straight line''' | *[[line (Euclidean geometry)|line]] or '''straight line''' | ||
*[[surface (geometry)|surface]] | *[[surface (geometry)|surface]] | ||
*[[plane (geometry)|plane]] | *[[plane (geometry)|plane]] | ||
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**[[triangle]] | **[[triangle]] | ||
***[[equilateral triangle|equilateral triangle]] | ***[[equilateral triangle|equilateral triangle]] | ||
***[[ | ***[[isosceles triangle|isosceles triangle]] | ||
***[[scalene triangle|scalene triangle]] | ***[[scalene triangle|scalene triangle]] | ||
***[[right angled triangle|right angled triangle]] | ***[[right angled triangle|right angled triangle]] | ||
***[[obtuse angled triangle|obtuse angled triangle]] | ***[[obtuse angled triangle|obtuse angled triangle]] | ||
***[[acute | ***[[acute angled triangle|acute angled triangle]] | ||
**[[polygon]] | **[[polygon]] | ||
***[[cyclic polygon|cyclic]] | |||
***[[square]] | ***[[square]] | ||
***[[oblong]] | ***[[oblong]] | ||
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***[[trapezia]] | ***[[trapezia]] | ||
*[[circle]] | *[[circle]] | ||
*[[center]] | *[[centre (mathematics)|center]] | ||
*[[diameter]] | *[[diameter]] | ||
*[[semicircle]] | *[[semicircle]] | ||
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*[[similarity]] | *[[similarity]] | ||
*[[rigid motion]] | *[[rigid motion]] | ||
**[[ | **[[reflection]] | ||
**[[rotation]] | **[[rotation]] | ||
**[[translation]] | **[[Translation (geometry)|translation]] | ||
*[[dilation]] | *[[dilation]][[Category:Suggestion Bot Tag]] | ||
Latest revision as of 06:00, 14 August 2024
Euclidean geometry is a form of geometry first codified by Euclid in his series of thirteen books, The Elements.
Concepts
Some of the concepts used and described in Euclidean geometry are:
- A point is a mathematical object which has a position but neither length nor breadth nor depth.
- line or straight line
- surface
- plane
- plane angle
- rectilinear angle or angle including
- parallel
- perpendicular
- boundary
- figure
- plane figure
- circle
- center
- diameter
- semicircle
- trilateral
- quadrilateral
- multilateral
- equilateral
- congruence
- similarity
- rigid motion
- dilation