Ordered geometry is a form of geometry featuring the concept of intermediacy (or "betweenness") but, like projective geometry, omitting the basic notion of measurement. Ordered geometry is a fundamental geometry forming a common framework for affine, Euclidean, absolute, and hyperbolic geometry (but not for projective geometry).
Read more about Ordered Geometry: History, Primitive Concepts, Definitions, Axioms of Ordered Geometry, See Also
Famous quotes containing the words ordered and/or geometry:
“Your mind was wrought in cosmic solitude,
Through which careered an undulous pageantry
Of fiends and suns, darkness and boiling sea,
All held in ordered sway by beauty’s mood.”
—Allen Tate (1899–1979)
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It’s not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I’m able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)