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" 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: it is required to draw from the point A a straight line equal to BC. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 10
av Robert Simson - 1838 - 416 sider
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The elements of plane geometry, Volum 1

Mathematical association - 1884 - 146 sider
...that which makes a greater angle with the perpendicular is greater than that which makes a less angle. Let A be the given point, and BC the given straight line, and let AD be the perpendicular from A to BC, and let AE, AF be any straight lines making equal angles...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - 1887 - 331 sider
...also the angles 0 and A. PROPOSITION XXIV.—PROBLEM. 63. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC *> the given line. / x From any point B in BC draw the A/. \ E straight line BAD through A. At the ,/\ point A,...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - 1887 - 342 sider
...also the angles Oand A. PROPOSITION XXIV.— PROBLEM. 63. 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/. — JE straight line BAD through A. At...
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Proceedings of the Edinburgh Mathematical Society, Volumer 5-6

Edinburgh Mathematical Society - 1887 - 316 sider
...cumscribed radius. The method of solution is similar to that of 49. 56. Euclid III. 33. 57. From a given point to draw a straight line equal to a given straight line. Euclid I. 2. Let A be the given point, BO the given straight line. From A draw an indefinite straight...
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The Passenger from Scotland Yard

H. Freeman Wood - 1888 - 412 sider
...given straight line. "Let A," muttered Mr. Byde, as he printed letters of the alphabet here and there, "be the given point, and BC the given straight line:...straight line equal to BC. From the point A to B draw the straight line AB. Postulate 1 says that a straight line may be drawn from any one point to any...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...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 and join AD...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 sider
...Explain clearly the construction only, necessary in each of the following problems : — (a) From a given point to draw a straight line equal to a given straight line. (I. 2.) (b) To bisect a given rectilineal angle. (I. 9.) For Admission as Pupil-Teacher of the Fourth...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - 1891 - 344 sider
...equal, and consequently also the angles O and A. D / 63. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BO the given line. From any point B in BO draw the A/. 5 f straight line BAD through A. At the /'\...
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The Colliery Engineer Pocket-book of Principles Rules, Formulæ, and Tables ...

Thomas J. Foster - 1891 - 444 sider
...ADB, and bisect this as above. -P-1 A i — a Through a given point to draw a straight line parallel to a 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 - 1891 - 160 sider
...of EUCLID, BOOK I. 1. To construct an equilateral triangle on a given straight line. 2. From a given point to draw a straight line equal to a given straight line. 3. From the greater of two given straight lines to cut off a part equal to the less. 4. If two sides...
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