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" Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 62
by Benjamin Greenleaf - 1874 - 176 pages
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Introduction and books 1,2

Euclid - Mathematics, Greek - 1908 - 550 pages
...equal to the angle ABC; and hence the angle DEF is supplementary to the angle ABC. PROPOSITION 31. Through a given point to draw a straight line parallel...given straight line. Let A be the given point, and BC the given straight line ; thus it is required to draw through the point A a straight line parallel...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...5. At a given point in a given straight line to make an angle equal to a given angle. 76 PROBLEM 6. Through a given point to draw a straight line parallel to a given straight line. 77 PROBLEM 7. To divide a given straight line into any number of equal parts. 78 THE CONSTRUCTION OF...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...lei they must meet, and then two in. n tersecting lines would be parallel to r. r PROBLEM VII 151. Through a given point to draw a straight line parallel to a given straight line. Given : Point A and \x A line BC. Required : To draw through A a straight line II BC. B \ c Construction:...
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Notes on Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1908 - 116 pages
...line makes with the 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;...
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Essentials of Descriptive Geometry

James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1909 - 122 pages
...Can a line make 45° 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;...
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - Geometry - 1910 - 316 pages
...GHF+ Z DGH = Z CGH + Z DGH; but Z CGH + Z DGH = a st. L :. Ls GHF, DGH are supplementary. PROBLEM 7 Through a given point to draw a straight line parallel to a given straight line. AC " i3 0 Let P be the given point and AB the given st. line. Construction. — Take two points C,...
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Field and Colliery Surveying: A Primer Designed for the Use of Students of ...

Thomas Aloysius O'Donahue - Mine surveying - 1911 - 288 pages
...AB—describe two arcs intersecting each other at C and I). The line joining CD will bisect AB. II. Through a given point to draw a straight line parallel to a given straight line. Let AB (Fig. 49) be the given line and C the point. In AB take any point D ; join CD. With the centre D...
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Final Report of the National Committee of Fifteen on Geometry Syllabus

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 100 pages
...parallel or respectively perpendicular to each other, they are either equal or supplementary. [J7.] 6. Through a given point to draw a straight line parallel to a given straight line. [D6.] 7. A parallelogram is divided into two congruent triangles by either diagonal. [*] 8. In any...
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 60 pages
...or respectively perpendicular to each other, they are either equal or supplementary. \Jj.] 6. Thru a given point to draw a straight line parallel to a given straight line. [D6.] 7. A parallelogram is divided into two congruent triangles by either diagonal. [*] 8. In any...
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July ...

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 60 pages
...or respectively perpendicular to each other, they are either equal or supplementary. [Jy.] 6. Thru a given point to draw a straight line parallel to a given straight line. [D6.] 7. A parallelogram is divided into two congruent triangles by either diagonal. [*] 8. In any...
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