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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 line BC. In BC take any point... "
Mensuration for Beginners: With Numerous Examples - Page 17
by Isaac Todhunter - 1869 - 296 pages
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...alternate angles ; therefore AB is parallel to CD. XXXI. — 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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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...with BC an angle equal to the angle DEF. QEF PROS. 6. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line : it is required to draw through A a straight line parallel to BC. In BC...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...makes with BC an angle equal to the angle DEF. FROB. 6. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line : it is required to draw through A a straight line parallel to BC. In BC...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...„ \> n 10. Five MHMH &c. PROPOSITION 2. PROBLEM. From a given point to draw a straight lino equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from A a straight line = BC. Join AB, Post. 1 and...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...; consequently, the angles ACE and ECB are also equal (P. XV.). PROBLEM VI. Through a given point, to draw a straight line parallel to a given straight line. Let A be a given point, and BC a given line. From the point A as a centre, with a radius AE, greater than the...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1885 - 424 pages
...circle equal arcs subtend equal A at the centre). PROPOSITION XXIX. PROBLEM. 227. Through a given point to draw a straight line parallel to a given straight line. Let AB be the given line, and H the given point. It is required to draw through the point H a line II to...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...consequently also the angles 0 and A. PROPOSITION XXIV.—PROBLEM. 63. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC *> the given line. / x From any point B in BC draw the A/. \ E straight line BAD through A. At the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...given point. (See Ex. 44. ) 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 st. line; it is required to draw through A a st. line || to BC. In BC take any point D...
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The Colliery Engineer Pocket-book of Principles Rules, Formulæ, and Tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...and any radius, describe the arc ADB, and bisect this as above. -P-1 A i — a Through a given point to draw a straight line parallel to a given straight line.— Let A be the given point and CD the given line. From A as a center, with a radius greater than the shortest distance from A to CD,...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...(CONTINUED.) PARALLELS AND PARALLELOGRAMS. Proposition 31. 147. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line ; it is required to draw through A a straight line parallel to BC. A BO...
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