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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 first two books of the Elements of Euclid, with additional figures ... - Pagina 53
door Euclides - 1852
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pagina’s
...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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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - 1869 - 312 pagina’s
...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 - 260 pagina’s
...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 ..., Deel 1

Euclides - 1871 - 136 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 pagina’s
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...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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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 pagina’s
...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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