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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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Report of the commissioners, Volume 8

Schools inquiry commission - 1868
...Is the following a correct solution of the 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 ; join AB, and on AB describe the equilateral triangle ADB. Produce DA to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 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 is required to draw from the point A, a straight line equal to BC. From...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...a given arc may be divided into four equal parts, into eight, into sixteen, <fec. PROBLEM VII. 802. Through a given point, to draw a straight line parallel...straight line. ""\•• From A draw a straight line, '"•••••,.. AE, to any point, E, in C D. E angle AEC (Prob. V.) ; and A-^AB is parallel to...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...each other at F. Join DF and EF. Then DEF will be the triangle required. 44. Through a given print to draw a straight line parallel to a given straight line. Let A be the given point, and B (/the given straight line. Take any point D in BC. From the centre D, with the radius DA describe...
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Elementary geometry

James Maurice Wilson - 1869
...the construction u tho same as before. COR. 3. Hence through any point a straight line can be drawn parallel to a given straight line. Let A be the given point, JSCthe given line. Draw any line AD to meet BC, and make the angle DAE equal to the alternate angle...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 16 pages
...along it, so as to draw a series of perpendiculars to the ruler. All these lines will be parallel. Through a given point to draw a straight line parallel to a given straight line. 95. Let AB be the given straight line, and C the given point (fig. 81); from the point C drop the perpendicular...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 285 pages
...opposite to the other two 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...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 - 492 pages
...bisected, the original 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
...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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