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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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...straight lines, &c. QE I). 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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...which are parallel, &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, through the point A, a straight line parallel to...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...Therefore, 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...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...HD, DK, KH are respectively equal to FA, AG, GF; PROBLEM F. Find the shortest path from a given point to a given straight line. Let A be the given point and BC the given straight line. From A let fall AQ j. to BC. Then shall AQ be less than any other straight...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...was required 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 BCthe given straight line. It i» required to draw from the point A, a straight line equal to BC. From...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...twice as long as the first. 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 A a straight line equal to BC. Construction....
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...Which was to be done. Proposition 2.— Problem. From a given point to draw a straight liiie 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 BC. CONSTRUCTION....
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...and EF are cut by GH, « MLF (Prop. XXVII.); but PROPOSITION XXIX.—PROBLEM. TJirough a given point to draw a straight line parallel to a given straight line. Let A be a given point, and EC a given line; it is required to draw a line through A parallel to BC. A Take...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...-which are parallel, etc. QED 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 through A a straight line parallel to BC. In the...
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