synthetic geometry sentence in Hindi
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- It arises in synthetic geometry and has an associated transformation group.
- Edwin Bidwell Wilson and Gilbert N . Lewis developed the concept within synthetic geometry in 1912.
- In the 1890s logicians were reducing the primitive notions of synthetic geometry to an absolute minimum.
- It is opposed to the classical synthetic geometry approach of Euclidean geometry, that focuses on geometric constructions.
- This result is much more difficult in synthetic geometry ( where projective spaces are defined through axioms ).
- It was also a subject with a large number of practitioners for its own sake, as synthetic geometry.
- They revamped the analytic geometry implicit in the split-complex number algebra into synthetic geometry of premises and deductions.
- If projective spaces are defined by means of axioms ( synthetic geometry ), the third part is simply a definition.
- Note that the proof of the Pythagorean theorem in synthetic geometry is considerably more elaborate because of the paucity of underlying structure.
- In his " Systematische Entwickelung der Abh�ngigkeit geometrischer Gestalten von einander " he laid the foundation of modern synthetic geometry.
- Euclidean geometry is an example of synthetic geometry, in that it proceeds logically from axioms to propositions without the use of coordinates.
- From the point of view of synthetic geometry, projective geometry " should be " developed using such propositions as axioms.
- In synthetic geometry, they are traditionally defined as the composition of one or several special homographies called " central collineations ".
- In synthetic geometry, this property, which is a part of the fundamental theory of projective geometry is taken as the definition of homographies.
- :The name " Pythagorean theorem " arises from the geometric interpretation of this result as an analogue of the theorem in synthetic geometry.
- 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.
- Ernst K�tter published a ( German ) report on " " The development of synthetic geometry from Monge to Staudt ( 1847 ) " ";
- So by the rules of classical, synthetic geometry, Diocles did not solve the Delian problem, which actually can not be solved by such means.
- Is there some way to solve it by synthetic geometry that actually gives you a tetrahedron ? Keenan Pepper 21 : 06, 5 April 2008 ( UTC)
- 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.
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