Synthetic Projective Geometry

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When two ranges are projective, the point at infinity of either one is correlated to a point of the other called its * vanishing point. * 108. When two conjective ranges form an involution the two vanishing points coincide in a point called the * center ' of the involution.
109. If two figures forming an involution have self-corre- lated elements, these are called the * double * elements of the involution. An involution has at most two double elements ; for were three self-correlated, all would
... be self-correlated.
no. If a primal figure of four elements is projective with a second made by interchanging two of these elements, they harmonically separate the other two.
For project the range ABCD from Fand cut the eject by a 28 PROJECTIVE GEOMETRY.
Straight on A. The cut AB'CD' is projective to ABCDy, which by hypothesis is projec- tive to ADCB. Therefore ADCB is perspective to AB'CD\ So vac is on the cross X of the joins DB' and BD', So B and D are codots of the tetrastim VD'XB', while A and C are on the connectors through C\ the third codot.


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