| 31. | Descriptive geometry and projective geometry are introduced at age 15 / 16 and 16 / 17, respectively.
 
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 | 32. | This phenomenon is axiomatized in projective geometry.
 
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 | 33. | Furthermore, this approach extends to include plane " at infinity ", in the sense of projective geometry.
 
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 | 34. | It is a part of the fundamental theorem of projective geometry that the two definitions are equivalent.
 
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 | 35. | When the opportunity to teach projective geometry at the military academy in Turin arose, Pieri moved there.
 
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 | 36. | The term " geometric algebra " was used by E . Artin for matrix methods in projective geometry.
 
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 | 37. | Affine geometry is one of the two main branches of classical algebraic geometry, the other being projective geometry.
 
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 | 38. | The usual definition of a conic uses a quadratic form ( see Quadric ( projective geometry ) ).
 
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 | 39. | For geometry, see projective geometry.
 
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 | 40. | Projective geometry also includes a full theory of conic sections, a subject already very well developed in Euclidean geometry.
 
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