synthetic geometry in a sentence

Examples

1. Euclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms to propositions without the use of coordinates.
2. From the point of view of synthetic geometry, projective geometry " should be " developed using such propositions as axioms.
3. In synthetic geometry, they are traditionally defined as the composition of one or several special homographies called " central collineations ".
4. In synthetic geometry, this property, which is a part of the fundamental theory of projective geometry is taken as the definition of homographies.
5. :The name " Pythagorean theorem " arises from the geometric interpretation of this result as an analogue of the theorem in synthetic geometry.
6. He especially liked Schwarz s lectures on analytic functions and synthetic geometry, not only because of their innovations but also because Schwarz s teaching method.
7. Ernst K�tter published a ( German ) report on " " The development of synthetic geometry from Monge to Staudt ( 1847 ) " ";
8. So by the rules of classical, synthetic geometry, Diocles did not solve the Delian problem, which actually can not be solved by such means.
9. Is there some way to solve it by synthetic geometry that actually gives you a tetrahedron ?  Keenan Pepper 21 : 06, 5 April 2008 ( UTC)
10. Schr�ter was influenced by Steiner's lectures, which were available only as note sheets, on synthetic geometry ( projective theory of conics ) published in 1867.