Euclidean geometry: Difference between revisions
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'''Euclidean geometry''' is a form of [[geometry]] first codified by [[Euclid]] in his series of thirteen books, [[Euclid's Elements|The Elements]].<br> | '''Euclidean geometry''' is a form of [[geometry]] first codified by [[Euclid]] in his series of thirteen books, [[Euclid's Elements|The Elements]].<br> | ||
==Concepts== | |||
Some of the concepts used and described in Euclidean geometry are: | Some of the concepts used and described in Euclidean geometry are: | ||
*[[point (geometry)|point]] | *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]] | ||
*[[ | *[[plane angle]] | ||
*[[rectilinear angle (geometry)|rectilinear angle]] or '''angle''' including | *[[rectilinear angle (geometry)|rectilinear angle]] or '''angle''' including | ||
**[[right angle (geometry)|right angle]] | **[[right angle (geometry)|right angle]] | ||
| Line 17: | Line 17: | ||
*[[parallel (geometry)|parallel]] | *[[parallel (geometry)|parallel]] | ||
*[[perpendicular (geometry)|perpendicular]] | *[[perpendicular (geometry)|perpendicular]] | ||
*[[ | *[[boundary]] | ||
*[[ | *[[figure]] | ||
*[[ | *[[plane figure]] | ||
**[[rectilinear figure]] | |||
**[[triangle]] | |||
* | ***[[equilateral triangle|equilateral triangle]] | ||
*[[ | ***[[isosceles triangle|isosceles triangle]] | ||
*[[ | ***[[scalene triangle|scalene triangle]] | ||
* | ***[[right angled triangle|right angled triangle]] | ||
* | ***[[obtuse angled triangle|obtuse angled triangle]] | ||
*[[equilateral triangle | ***[[acute angled triangle|acute angled triangle]] | ||
*[[ | **[[polygon]] | ||
*[[scalene triangle | ***[[cyclic polygon|cyclic]] | ||
*[[right angled triangle | ***[[square]] | ||
*[[obtuse angled triangle | ***[[oblong]] | ||
*[[acute | ***[[rhombus]] | ||
*[[ | ***[[rhomboid]] | ||
*[[ | ***[[trapezia]] | ||
*[[ | *[[circle]] | ||
*[[ | *[[centre (mathematics)|center]] | ||
*[[rhomboid ( | *[[diameter]] | ||
*[[ | *[[semicircle]] | ||
*[[trilateral]] | |||
*[[quadrilateral]] | |||
*[[multilateral]] | |||
*[[equilateral]] | |||
*[[congruence]] | |||
*[[similarity]] | |||
*[[rigid motion]] | |||
**[[reflection]] | |||
**[[rotation]] | |||
**[[Translation (geometry)|translation]] | |||
*[[dilation]] | |||
Latest revision as of 03:10, 8 March 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