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" 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 the straight hue BC. "
Observational Geometry - Page 49
by William Taylor Campbell - 1899 - 240 pages
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...cannot however be proved by experiment to be true. It is conceivable that there might be more than one straight line through a given point parallel to a given straight line. Through a point O we can certainly draw more than one line which does not meet AB if produced to the...
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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - Mathematics - 2001 - 672 pages
...Proposition 27 to construct a line parallel to the given line, as follows: Proposition 31: (Construction) How to draw a straight line through a given point parallel to a given line. B DC Figure 3.11 Constructing a line parallel to a given line Proof: (See Figure 3.11.) Let A...
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...isosceles triangle in which the vertical angle is three times each angle at the base. 82. PROP. 12. To draw a straight line through a given point parallel to a given straight line. To draw a straight line through _ the given point C parallel to the "V* s\ given straight line AB....
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - Education - 1913 - 202 pages
...equally distant from A and B; (b) Every point not in this line is unequally distant from A and B. 4. (a) To draw a straight line through a given point parallel to a given straight line. (b) To construct a parallelogram that shall be equal in all respects to a given parallelogram. 5. (a)...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 pages
...the parallelograms, which are about the diagonal of any parallelogram, are equal to each other. 9. To draw a straight line through a given point parallel to a given straight line. 10. (a.) What is the measurement in degrees, itc., of the largest obtuse angle ? Of the smallest acute...
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The American Mathematical Monthly: The Official Journal of the ..., Volumes 9-10

Mathematicians - 1902 - 714 pages
...astounding achievement of Bolyai's young genius, his ยง 34, where he solves for his universe, En., I, 31, To draw a straight line through a given point parallel to a given straight line. His brilliant lead was followed more than half a century later by Gerard, but it is Barbarin who has...
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Parliamentary Papers, Volume 17

Great Britain. Parliament. House of Commons - Bills, Legislative - 1871 - 902 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 2. Draw a straight line through a given point parallel to a given straight line. AB, AC, are two straight lines cutting each other in A, and D is a given point ; draw from D a straight...
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The calendar of the University college of Wales

Wales univ, univ. coll. of Wales - 1878 - 188 pages
...that every point on the bisecting line is at equal distances from the sides containing the angle. 2. Draw a straight line through a given point parallel to a given straight line. 3. Prove that the three interior angles of every triangle are together equal to two right angles. 4....
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A Shorter Geometry

464 pages
...opposite sides of a skew quadrilateral are equal, the opposite angles are equal. Ex. 1OB. Shew how to draw a straight line through a given point, parallel to a given plane, and at right angles to a given line. tEx. HO. On two lines I, I' (in general skew to one another)...
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...by experiment to be true; and conceivably it is not true. For why should there not be more than one straight line through a given point parallel to a given straight line 1 Through a point O we can certainly draw more than one line which does not meet AB if produced to...
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