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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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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...b, the third Z. of the A will be equal to the Z. c. Ax. 3. OEF i PROPOSITION XXVIII. PROBLEM. ^ 278. Through a given point, to draw a straight line parallel to a given straight line. 7 \ __JK .f D i Let AB fie the given line, and C the given point. To draw through the point C a line...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...= Z CEH, and ZB = Z FED, (Cons.) . • . Z HEF is the Z required. QEF Proposition 27. Problem. 260. Through a given point to draw a straight line parallel to a given straight line. Given, the pt. A and the line BC. A Required, to draw through A a /' F line || to BC. / Cons. In BC...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...given point. (See Ex. 44. ) 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 st. line; it is required to draw through A a st. line || to BC. In BC take any point D...
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The Colliery Engineer Pocket-book of Principles Rules, Formulæ, and Tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...Then, with C as a center and any radius, describe the arc ADB, and bisect this as above. -P-1 A i — a Through a given point to draw a straight line parallel...given straight line.— Let A be the given point and CD the given line. From A as a center, with a radius greater than the shortest distance from A to CD,...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...angles. 30. Straight lines which are parallel to the same straight line are parallel to each other. 31. Through a given point, to draw a straight line parallel to a given straight line. 32. If one side of a triangle be produced, the exterior angle shall be equal to the sum of the two...
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A Rudimentary Treatise on Land and Engineering Surveying: For Students and ...

Thomas Baker - Railroads - 1891 - 262 pages
...divide a straight line into two equal parts, 4 ; to draw two straight lines parallel to each other, 4 ; through a given point to draw a straight line parallel to a given ditto, 4 ; from a point in n straight line to erect a perpendicular, 4. Surface defined, 1, Surface...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...(CONTINUED.) PARALLELS AND PARALLELOGRAMS. Proposition 31. 147. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, BC the given straight line ; it is required to draw through A a straight line parallel to BC. A BO...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...parallel straight lines, it must intersect the other. 6—2 PROPOSITION 31. To draw through a given point 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 ioBC. CONSTRUCTION....
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...straight line to make an angle equal to a given angle. The construction may be effected by 2 R, I. 31.. Through a given point to draw a straight line parallel to a given straight line. 9 The construction is frequently effected by The following method is due to Mr Gaston Tarry. FIGURE...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...consequently also the angles O and A. PROPOSITION XXIV.—PROBLEM. 83. 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 A/ '•• x straight line BAD through A....
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