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Books Books 1 - 10 of 18 on Method.) 170. Parallel lines are lines which lie in the same plane and do not meet,....  
" Method.) 170. Parallel lines are lines which lie in the same plane and do not meet, however far they are produced. "
Lectures on Fundamental Concepts of Algebra and Geometry - Page 21
by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pages
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A Text-book of Geometry

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...
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Plane Geometry

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...
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Elementary course in mechanical drawing for manual training and ..., Part 1

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...
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Elementary Course in Mechanical Drawing for Manual Training and ..., Part 1

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...
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LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

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...
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Plane Geometry

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...
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Plane Geometry

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,...
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Plane Geometry

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...
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Plane and solid geometry

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...
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SOLID GEOMETRY

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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