1,009
edits
Changes
Jump to navigation
Jump to search
mLine 13:
Line 13: − Here are the Euclidean constructions, which are simply postulated, not explained in any way.+ Line 19:
Line 19: − Thus:+ − +
Activities/Turtle Art/Tutorials/Euclid (view source)
Revision as of 13:45, 1 August 2011
, 13:45, 1 August 2011→The Essence of Euclidean Geometry: Fix file name, rearrange text
==The Essence of Euclidean Geometry==
==The Essence of Euclidean Geometry==
The Euclidean constructions are simply postulated, not explained in any way. You have to start somewhere.
# Join two given points with a straight line segment.
# Join two given points with a straight line segment.
# Given a line segment as radius, with one end designated as the center, draw a circle.
# Given a line segment as radius, with one end designated as the center, draw a circle.
The given points and line segment are in red, and the constructed lines and circles in black.
[[File:TAEuclideanConstructions.png]]
[[File:TAEuclideanConstructionPostulates.png]]
I am going to bypass Euclid's other assumptions until we need them.
I am going to bypass Euclid's other assumptions until we need them.