. The principles of projective geometry applied to the straight line and conic . any + ,. Non-2)rojective proofs 353 Conversely, if the above relation holds the point P is on the line joining P^ to P,^.Note. la all cases when an area passes through a zero value its sign must bechanged. {h) If DyCu B-fJ-i, B-sC-i, ... and D^Fi, , B^F-i, ... be any finite straight linesof limited length in a plane, the loetis of a point such that 2PBiC\ = 2PDiFi is astraight line. This result may be easily deduced from (a). 8. At any internal point on the connector of the middle points of the
. The principles of projective geometry applied to the straight line and conic . any + ,. Non-2)rojective proofs 353 Conversely, if the above relation holds the point P is on the line joining P^ to P,^.Note. la all cases when an area passes through a zero value its sign must bechanged. {h) If DyCu B-fJ-i, B-sC-i, ... and D^Fi, , B^F-i, ... be any finite straight linesof limited length in a plane, the loetis of a point such that 2PBiC\ = 2PDiFi is astraight line. This result may be easily deduced from (a). 8. At any internal point on the connector of the middle points of the diagonals ofa quadrilateral the sum of the areas subtended by one pair of opposite sides is equalto the sum of the areas subtended by the other pair.
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometryprojective
