| 31. | The sphere is simply connected, while the real projective plane has fundamental group.
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| 32. | This universe is actually the real projective plane with a metric : elliptic geometry.
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| 33. | The construction also works over finite fields, providing examples in finite projective planes.
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| 34. | They are called non-Desarguesian projective planes and are an active area of research.
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| 35. | Degenerate planes do not fulfill the third condition in the definition of a projective plane.
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| 36. | Let denote a projective plane of order.
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| 37. | Generalized 3-gons are projective planes.
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| 38. | The geometric view of a central collineation is easiest to see in a projective plane.
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| 39. | Let be a projective plane of order.
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| 40. | A generalization of a non-degenerate conic in a projective plane is an oval.
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