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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. "
Euclid - Page 63
by Euclid, Rupert Deakin - 1903 - 164 pages
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...PROPOSITION XXVI 99. Through a given point to draw the straight line parallel to a given straight line, \ \AH Let A be the given point and BC the given straight line. It is required to draw through A the straight line parallel to BC. Construction. Through A draw any straight line intersecting...
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Root's Military Topography and Sketching: Prepared for Use in the United ...

Edwin Alvin Root - Military topography - 1902 - 458 pages
...point to the point of intersection d of the arcs and it will be the perpendicuiar required. Tf-..1ough a given point, to draw a straight line parallel to a given straight line (Fig. 39). From the given point a as a center, with a radius greater tban the Jistance to the line,...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...that ABCD is an isosceles trapezium. In what case would it be a parallelogram? Revise Ex. 516, 517. Through a given point to draw a straight line parallel to a given straight line. B p fig. 149. Let A be the given point and BC the given straight line. Construction In BC take any...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...point of a straight line drawn from a given point to meet a given straight line of unlimited length. Let A be the given point, and BC the given straight line of unlimited length. (o) Let AX be any straight line drawn through A to meet BC, and let P be its middle...
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International Library of Technology: A Series of Textbooks for ..., Volume 53

Agriculture - 1905 - 784 pages
...D. *«G•»• '*' The line joining the points /'and D will be perpendicular to A B. PROBLEM 4. — Through a given point, to draw a straight line parallel to a given straight line. See Fig. 36; also 4 of Plate I. CONSTRUCTION. — Let P be the given point, and AB the given straight...
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School Science and Mathematics, Volume 11

Education - 1911 - 946 pages
...parallel or respectively perpendicular to each other, they are cither 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 cither diagonal. [*] 8. In any...
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Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - Arithmetic - 1906 - 576 pages
...the arc PE D in D. The line joining the points P and D will be perpendicular to A B. PROBLEM 4. — Through a given point, to draw a straight line parallel to a given straight line. See Fig. 36; also 4 of Plate I. CONSTRUCTION. — Let P be the given point, and AB the given straight...
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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...be the given point, and BC the given straight line ; thus it is required to draw through the point A a straight line parallel to the straight line BC....
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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; the horizontal...
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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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