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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. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...were given or the other were really true. The process can best be explained by the following examples. Ex. 1. To draw a straight line through a given point...effected, and EF to be the straight line required. Now we know that any straight lh.e AD drawn from A to meet BC makes equal angles with EF and BC. (i....
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...parallel to CD (I. 27). Therefore, straight lines -which are parallel, etc. QED Proposition XXXI. Problem. To draw a straight line through a given point parallel...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. In the straight...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...AB is || CD. (i. 27) Therefore, straight lines which are parallel, &c. QED PROPOSITION XXXL PROBLEM. To draw a straight line through a given point parallel to a given straight line, Let A be the given pt., BC the given st. line. It is required to draw through the pt. A a st. line || BC. E 4 F ., \ „...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...other; and they are alternate ; hence AB and CD are parallel (I. 25). Proposition 29. Problem.—To draw a straight line through a given point parallel to a given straight line. Let A be the point, and BC the line; it is required to draw through A a line parallel to BC. In BC take any point...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...Prove that straight lines which are parallel to the same straight line are parallel to one another. 31. Draw a straight line through a given point parallel to a given straight line. From a given point draw a straight line such that the part of it included between two given parallel...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...to each, and also the third angle of the one equal to the third angle of the other. Section II. 1. Draw a straight line through a given point parallel to a given straight line. If any straight line joining two parallel straight lines be bisected, all the straight lines drawn...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...AB and CD are parallel (I. 27). Wherefore, Straight lines, dc. QED "/ B K/ F D Paop. XXXI. PROBLEM. To draw a straight line through a, given point, parallel...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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...therefore AB is parallel to CD. [I. 27. Wherefore, straight lines &c. QED PROPOSITION 31. PROBLEM. To draw a straight line through a given point parallel...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...
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Papers for teachers

1880 - 594 pages
...happy result of the trial. From Paris to Perpignan the distance is 720 English miles." Euclid. — i. To draw a straight line through a given point parallel to a given straight line. Draw a line DE parallel to the base BC of a triangle ABC, so that DE shall be equal to the difference...
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