| 41. | This embedding is the Petrie dual of its embedding in the projective plane shown below.
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| 42. | There are several results concerning projectivities and perspectivities which hold in any pappian projective plane:
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| 43. | However, two nonisomorphic planar ternary rings can lead to the construction of isomorphic projective planes.
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| 44. | Every nonsingular conic in the projective plane, together with its nucleus, forms a hyperoval.
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| 45. | Additionally, one can look at curves in the projective plane, given by homogeneous polynomials.
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| 46. | Also notable is the tetrahemihexahedron, whose seven equilateral triangle faces form a rudimentary projective plane.
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| 47. | Let and be two distinct conics in a projective plane defined over an algebraically closed field.
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| 48. | Vertices are shown as circles, colored by their order of overlap in each projective plane.
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| 49. | This example is known as the "'projective plane of order three " '.
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| 50. | Any two great circles intersect precisely in two antipodal points ( identified in the projective plane ).
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