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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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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...equal sides in each be both acute or both obtuse (Bk. I. page 46). PROBLEM 6. 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 A a straight line parallel toBC. Take any...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 490 pages
...arc or angle will be divided into eight equal parts ; and so on. 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 geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...be the 31st Proposition of Euclid-s First Book. Ex. 1. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC be the given straight line. Suppose the problem to be effected, and EF to be the straight line required....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...also the angles O and A (10). I;' PROPOSITION XXX.— PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight D line BAD through A. At the point A, by...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...tlie 31st Proposition of Euclid's First Book. Ex. 1. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC be the given straight line. Suppose the problem to be effected, and EF to be the straight line required....
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...consequently also the angles 0 and A (10). PROPOSITION XXX.—PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight * line BAD through A. At the point A, by...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...be divided into four equal parts, into eight, into sixteen, &c. PROBLEM VII. Through a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A — .B CD the given straight line. '"-,..... From A draw a straight line, Q '"....... j^ AE, to any...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 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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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...he divided into four equal parts, into eight, into sixteen, &c. PROBLEM VII. Through a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A — B CD the given straight line. "••-.... From A draw a straight line, Q '"•--... ^ AE, to...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...an equilateral triangle. B PROP. II. — PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and B the given straight line ; it is required to draw from A a straight line equal to B. From the centre A, with the radius B, describe...
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