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" From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line. "
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems - Page 111
by Horatio Nelson Robinson - 1869
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Notes on Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1908 - 116 pages
...planes of projection. 57. Through a given point, to pass a plane perpendicular to a given straight line. Let A be the given point and BC the given line, Fig. 42. Analysis. The directions of the traces of the required plane are known; the horizontal trace...
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The Elements of Geometry

Walter Nelson Bush, John Bernard Clarke - Geometry - 1909 - 376 pages
...Then Z a' is the required angle. QEF Proof. Z a' = Z o. (Horn. A of = A.) QJE.TI. PROB. IV. Through a given point to draw a line parallel to a given line. Given. The point P and the ^ line AB. Required. To construct a line 2 _ through P parallel to AB. Const....
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A History of the Teaching of Elementary Geometry: With Reference to Present ...

Alva Walker Stamper - Geometry - 1909 - 214 pages
...Some of the representations are ridiculously fanciful. Thus, he is considering the problem, "Through a given point to draw a line parallel to a given line." The picture which corresponds to this is that of four men with swords, two of whom are righting a duel....
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Essentials of Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1909 - 122 pages
...with H and 60° with V? 58. Through a given point, to pass a plane perpendicular to a given straight line. Let A be the given point and BC the given line, Fig. 42. Analysis. The directions of the traces of the required plane are known; the horizontal trace...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...the equal of 2£ FED, is supplementary to 4 PEG. § 60 QED PROPOSITION XXXVII. PROBLEM. 154. Through a given point to draw a line parallel to a given line. M / CP/ D E Given the point P and the line AB. Required to draw through P a line II AB. Construction....
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...words the construction should be carried out exactly by means of ruler and compasses. Ex. 224. Through a given point to draw a line parallel to a given line, by means of equal alt. int. angles. Ex. 225. Through a given point to draw a line parallel to a given...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...point to draw a line parallel to a given line, by means of equal alt. int. angles. Ex. 225. Through a given point to draw a line parallel to a given line by means of Ex. 209 (p. 46). PROPOSITION XVII. THEOREM 101. Two lines are not parallel if a transversal...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...are parallel. State other theorems of this kind using the other sets of angles. Problem VIII. Through a given point to draw a line parallel to a given line. This depends directly on Theorem XIV. 59. Theorem XV. // two parallel straight lines are cut by a transversal...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...are parallel. State other theorems of this kind using the other sets of angles. Problem VIII. Through a given point to draw a line parallel to a given line. This depends directly on Theorem XIV. 69. Theorem XV. // two parallel straight lines are cut by a transversal...
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Yearbook of the National Association of Secondary School Principals, Issues 1-6

National Association of Secondary School Principals (U.S.) - Education - 1917 - 840 pages
...given angle in quarters. 7. Construct an angle that is double a given angle. B. GEOMETRY I 1. Through a given point to draw a line parallel to a given line. L , Angle x equals how many degrees to make lines parallel ? 3Z. 1 and Z. 2 have sides parallel each...
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