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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 E iR. "
The Element of Geometry - Side 13
av John Playfair - 1836 - 114 sider
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Elementary geometry

James Maurice Wilson - 1869 - 260 sider
...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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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871 - 136 sider
...other straight lines, each to each, the first pair make the same angles with one another as the second. To draw a straight line through a given point parallel . to a given straight line. Let A be the given pt. and BC the given st. line. It is required to draw through A a st. line II to. BC. In BC take any...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 sider
...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 /' the preceding...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 320 sider
...without it is the straight line bisecting at right angles the perpendicular from the given point upon the given straight line. Let A be the given point and BC the given straight line; From A draw AD perpendicular to BC and let AE be any straight line not perpendicular to BC and meeting...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 sider
...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 ,{ the preceding...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sider
...each, the first pair make the same angles with one another as the second. PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. E Let A be the given pt. and BC the given st. line. It is required to draw through A a st. line \\...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 sider
...28th proposition that these two right lines AB and CD are parallel to each other. PROPOSITION XXXI. To draw a straight line through a given point parallel to a given straight line. For the construction requisite in this proposition we must be able, — 1. To join two given points...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - 1873 - 202 sider
...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 - 1873 - 580 sider
...II. — From a given point to draw a straight line equal to a given straight line. Let A be the givaa point, and BC the given straight line ; it is required to draw from the point A a straight line equal to BC. J Join AB, and on it describe the equilateral triangle...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 sider
...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 line AR drawn from A to...
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