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Geometry for schools : theoretical (1904)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 270

An illustration from Geometry for schools : theoretical, 1904, leaf 270
ion of the opposite angles of theordinaiy quadrilateral. The thi-ee straight lines joining opposite verticesare called diagonal lines, or diagonals. The tri-angle formed by these diagonal lines is called thediagonal triangle of the complete quadrilateral. Thns AC, BD, EF are the diagonals; and PQR… … Consider tlie triangle EAF. Then since EB, AQ, FDpass through the point C, therefore ED.AB.FQ^.^ ^rpj^^ ^j ^^^^^DA . BF . QEAlso since DBR cuts the sides of the triangle EAF,therefore ED. AB.FR^-^ .rpi^^^ ^f Menelaus.)DA . BF . RE Hence =^ = —, and R, F, QyEform, a harmonic range.QE RE Therefore…

Geometry · Geometry, Plane

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