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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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An elementary treatise on geometrical drawing

John Henry Robson - 1880 - 118 pages
...radius FE describe a circle. Let this cut AB again in D. Join CD. CD is the perpendicular required. 7. Through a given point to draw a straight line parallel to a given straight line. 4L BE DC Let A be the given point, and BC the given straight line. In BC take any point D. With D as...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Wherefore, straight lines &c. QED 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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...Straight lines, dc. QED "/ B K/ F D Paop. XXXI. 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 A, which shall be parallel...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...(in the same circle equal arcs subtend equal A at the centre). 9. EF PROPOSITION XXIX. PROBLEM. 227. Through a given point to draw a straight line parallel to a given straight line. E .-, H B Let AB be the given line, and H the given point. It is required to draw through the point...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...(in the same circle equal arcs subtend equal A at the centre). QEF PROPOSITION XXIX. PROBLEM. 227. Through a given point to draw a straight line parallel to a given straight line. Let e the given, line, and H the given point. It is required to draw through tfie point H a line II to...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...Bisect the arc as in (218). Then, since arc DF = arc FE, L. a — Z. b. (187) QEF PROBLEM VII. 221. Through a given point, to draw a straight line parallel to a given straight line. Let P be the given point, and AB the given straight line. D E "--&From any point in AB, as C, draw the...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...EF is parallel to BC, as the alternate angles are equal. SUMMARY OP PROPOSITION XXXI., PROBLEM 10. Through a given point to draw a straight line parallel to a given straight line. Cons.— Join AD. Make L BAD = E ^- FL ADC (I. 23). Produce EA to F. B \ c Proof. — Alternate angles...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...interior and opposite, on the same side of the line ; then the two straight lines shall be parallel. •5. Through a given point to draw a straight line parallel to a given straight line. Show a way of describing an isosceles triangle of which the base and one side shall lie in given straight...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...be two intersecting lines both || CD, which is impossible (Ax. 11). .-.ABis||EF. QED PROP. 31. PROB. Through a given point to draw a straight line parallel to a given straight line. Given st. line AB and pt. C. E c B To draw through C a st. / line || AB. ' A / Take any point D in...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
..."Wherefore, straight lines &c. QED 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 EC the given straight line : it is required to draw a straight line through the point A parallel to...
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