Manning, Henry Parker, 1859- · Boston, U.S.A., Ginn & Company · leaf 46
for this pointwould be the intersection of AB and EF, and the limitingposition of H, whereas H moves off indefinitely on CD. There-fore, H and K must move off together, and the limiting posi-tion of EH must be at the same time parallel to CD and AB. PARALLEL LINES 35 If AB, lying between the other… … Second, when the lines are not all in the same plane. Let AB and CD be two parallel lines and let E be any pointnot in their plane. Proof. To H on CD draw AH and EH. As H moves off indefi-nitely, AH approaches the position of AB, and the plane EAHthe position of the plane EAB. Therefore, the…
Geometry, Non-Euclidean
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