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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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 pages
...faciendum. (Which was to be done). Proposition II. Problem. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line. It is required to draw from the point A a straight line equal to B C. From...
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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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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
....-. AB is || to CD (I. 29) Proposition 31 requires us 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. Let ns assume that the problem is solved and that a line is drawn through...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...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
...(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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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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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...position exactly ? APPENDIX TO BOOK I. EU. I. 2. PROB. From a given point to draw a straight line eqnal to a given straight line. Let A be the given point, and BC the given st. line. To draw from A a st. line = BC. Join A with B, describe on AB an equiL A ADB...
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - Geometry, Plane - 1883 - 208 pages
...VIII. PROBLEMS. 1. Through a given point to draw a straight line which shall make a given angle with a given' straight line. Let A be the given point and B С the giveiï д. straight line. /" Take any point, D in BC, / and make ¿. С DE equal to / / the...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...'imit, either AB or CD. 73. PROPOSITION 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 the point A parallel to...
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