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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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Plane and Solid Geometry

James Howard Gore - Geometry - 1899 - 266 pages
...and vertical angle of an isosceles triangle, to construct the triangle. PROPOSITION XX. PROBLEM. 189. Through a given point to draw a straight line parallel to a given straight line. Ac Let BC be the line and A the point. To draw through A a line parallel to BC. It is known (from 62)...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...parallel to CD (Proposition 27). PROPOSITION 31. PROBLEM To draw a straight line through a given point parallel to a given straight line. Let A be the given point and BC the given straight line ; it is required to draw a straight line through the point A. parallel to...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...that is, they are parallel. PROPOSITION 31. PROBLEM. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line. It is required to draw through A a straight line parallel to BC. Construction....
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...To construct an angle equal to two and one-half times a given angle. PROPOSITION VII. — PROBLEM. Through a given point to draw a straight line parallel to a given straight line. Let C be the given point and <D AB the given line. / It is required to draw a line ° -—--.• -F through...
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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
...of which it is the converse. PROPOSITION 31. PROBLEM. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line. It is required to draw through A a straight line parallel to BC. Construction....
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International Library of Technology: A Series of Textbooks for ..., Volume 53

Agriculture - 1905 - 782 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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