Euclidean geometry: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Subpagination Bot
m (Add {{subpages}} and remove any categories (details))
mNo edit summary
 
(15 intermediate revisions by 5 users not shown)
Line 1: Line 1:
{{subpages}}
{{subpages}}


'''Euclidean geometry''' is a form of [[geometry]] first codified by a man called [[Euclid]] in his series of thirteen books called [[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
*A '''[[point (geometry)|point]]''' is a mathematical object which has a position but neither length nor breadth nor depth.
 
*[[line (Euclidean geometry)|line]] or '''straight line'''
*[[point (geometry)|point]]
*[[line (geometry)|line]]
*[[surface (geometry)|surface]]
*[[surface (geometry)|surface]]
*[[straight line (geometry)|straight line]]
*[[plane (geometry)|plane]]
*[[plane (geometry)|plane]]
*[[plane angle (geometry)|plane angle]]
*[[plane angle]]
*[[rectilinear angle (geometry)|rectilinear angle]]
*[[rectilinear angle (geometry)|rectilinear angle]] or '''angle''' including
*[[right angle (geometry)|right angle]]
**[[right angle (geometry)|right angle]]
**[[rectilinear angle (geometry)#Obtuse angle|obtuse angle]]
**[[rectilinear angle (geometry)#Acute angle|acute angle]]
**[[rectilinear angle (geometry)#Straight angle|straight angle]]
*[[parallel (geometry)|parallel]]
*[[perpendicular (geometry)|perpendicular]]
*[[perpendicular (geometry)|perpendicular]]
*[[obtuse angle (geometry)|obtuse angle]]
*[[boundary]]
*[[acute angle (geometry)|acute angle]]
*[[figure]]
*[[boundary (geometry)|boundary]]
*[[plane figure]]
*[[figure (geometry)|figure]]
**[[rectilinear figure]]
*[[circle (geometry)|circle]]
**[[triangle]]
*[[center (geometry)|center]]
***[[equilateral triangle|equilateral triangle]]
*[[diameter (geometry)|diameter]]
***[[isosceles triangle|isosceles triangle]]
*[[semicircle (geometry)|semicircle]]
***[[scalene triangle|scalene triangle]]
*[[rectilinear figure (geometry)|rectilinear figure]]
***[[right angled triangle|right angled triangle]]
*[[trilateral (geometry)|trilateral]]
***[[obtuse angled triangle|obtuse angled triangle]]
*[[quadrilateral (geometry)|quadrilateral]]
***[[acute angled triangle|acute angled triangle]]
*[[multilateral (geometry)|multilateral]]
**[[polygon]]
*[[equilateral triangle (geometry)|equilateral triangle]]
***[[cyclic polygon|cyclic]]
*[[isoscelese triangle (geometry)|isoscelese triangle]]
***[[square]]
*[[scalene triangle (geometry)|scalene triangle]]
***[[oblong]]
*[[right angled triangle (geometry)|right angled triangle]]
***[[rhombus]]
*[[obtuse angled triangle (geometry)|obtuse angled triangle]]
***[[rhomboid]]
*[[acute angle triangle (geometry)|acute angle triangle]]
***[[trapezia]]
*[[equilateral (geometry)|equilateral]]
*[[circle]]
*[[right angle (geometry)|right angle]]
*[[centre (mathematics)|center]]
*[[square (geometry)|square]]
*[[diameter]]
*[[oblong (geometry)|oblong]]
*[[semicircle]]
*[[rhombus (geometry)|rhombus]]
*[[trilateral]]
*[[rhomboid (geometry)|rhomboid]]
*[[quadrilateral]]
*[[trapezia (geometry)|trapezia]]
*[[multilateral]]
*[[equilateral]]
*[[congruence]]
*[[similarity]]
*[[rigid motion]]
**[[reflection]]
**[[rotation]]
**[[Translation (geometry)|translation]]
*[[dilation]][[Category:Suggestion Bot Tag]]

Latest revision as of 07:00, 14 August 2024

This article is a stub and thus not approved.
Main Article
Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
This editable Main Article is under development and subject to a disclaimer.

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: