| George Albert Wentworth - Geometry - 1888 - 437 pages
...-L to AB, and PD is not J- to AB. § 47 PARALLEL LINES. 98. DBF. Parallel lines are lines which lie **in the same plane and do not meet however far they are** prolonged in both directions. 99. Parallel lines are said to lie in the same direction when they are... | |
| Edward Brooks - 1901
...the points which possess a common property. PARALLEL LINES. 55. PARALLEL LINES are lines which lie **in the same plane, and do not meet however far they are produced** in either direction ; as AB and CD. 56. Parallel lines lie in the same c D direction when they are... | |
| Arthur Wesley Chase - Mechanical drawing - 1904 - 189 pages
...through a given point, a line parallel to a given line. 1st method. Parallel lines are lines which lie **in the same plane and do not meet however far they are** prolonged in both directions. Any two parallel lines are everywhere equally distant. The distance between... | |
| Arthur Wesley Chase - Mechanical drawing - 1904 - 189 pages
...through a given point, a line parallel to a given line. 1st method. Parallel lines are lines which lie **in the same plane and do not meet however far they are** prolonged in both directions. Any two parallel lines are every, where equally distant. The distance... | |
| JOHN WESLEY YOUNG - 1911
...obtain a second limiting position PS. These two circles do not, in general, coincide. The angle 0, **which they make with each other, is in general so...number of shortest lines through P and parallel to** lj viz. all such lines lying within the angle 0. The two limiting parallels PR and PS we may call the... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Plane - 1911 - 303 pages
...sum of the hypotenuse and the other arm. PARALLEL LINES 177. Def. Two lines are parallel if they lie **in the same plane and do not meet however far they are** prolonged either way. 178. Assumption 19. Parallel line postulate. Two intersecting straight lines... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 332 pages
...(The method of proof used here is called the Indirect Method.) 170. Parallel lines are lines which lie **in the same plane and do not meet, however far they are produced.** PLANE GEOMETRY— BOOK I Proposition XIV may now be stated: When two straight lines are cut by a transversal,... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 332 pages
...(The method of proof used here is called the Indirect Method.) 170. Parallel lines are lines which lie **in the same plane and do not meet, however far they are produced.** PLANE GEOMETRY— BOOK I Proposition XIV may now lie stated : When two straight lines are cut by a... | |
| Clara Avis Hart, Daniel D. Feldman - Mathematics - 1912 - 488 pages
...sum of the hypotenuse and the other arm. PARALLEL LINES 177. Def. Two lines are parallel if they lie **in the same plane and do not meet however far they are** prolonged either way. 178. Assumption 19. Parallel line postulate. Two intersecting straight lines... | |
| WILLIAM BETZ, HARRISON E. WEBB - 1916
...of the other, the right triangles are congruent, (rt. A ha) 170. Parallel lines are lines which lie **in the same plane and do not meet, however far they are produced.** When two straight lines are cut by a transversal, if the alternate-interior angles are equal, the straight... | |
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