 Let a and b be the two v given lines, which neither intersect nor are parallel. From any two points A and P on the line a, draw AB and PB' perpendicular to the line 6. If AB = PB', the existence of a common perpendicular follows from § 28. Therefore...  Studies in Non-Euclidian Geometry - Page 43by Carolyn Soward Armentrout - 1925 - 100 pagesFull view - About this book
 | Horatio Scott Carslaw - Geometry - 1916 - 193 pages
...Hilbert's Axiom of Parallels [cf. § 26 (3)]. 31, 32] 55 The converse is also true, namely, that // two straight lines neither intersect nor are parallel, they must have a common perpendicular.* FIG. 33. Let a and b be the two v given lines, which neither intersect nor are parallel. From any two... | |
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