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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 through EAF the point A, parallel to the straight line ' "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pagina 29
door Euclid, John Playfair - 1853 - 317 pagina’s
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 pagina’s
...equal parts, into eight, into sixteen, and so on. PROBLEM VI. Through a given point, to draw a line parallel to a given straight line. Let A be the given point, and BO the given line. From the point A as a centre, F .g with a radius AE, greater than the shortest distance...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 pagina’s
...direction. The shortest distance is always found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point A. as а Л centre, with a radius...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 pagina’s
...perpendicular to the parallels. 416 CYCLOPEDIA OF MATHEMATICAL SCIENCE. 417 To draw a straight lute through a given point parallel to a given straight line. Let A be the given point, and B~ ~-\ С В С the given une. From the point A, as а centre, with a radius greater than the shortest...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pagina’s
...each of its sides double the base. PROP. II. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and B С the given straight line. It is required to draw from the point A a straight line equal to B С....
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Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - 1859 - 140 pagina’s
...viz. : — A jriom, Postulate, Problem, Theorem ; also the terms Lin<>, Angle, and Surface. 2. To draw a straight line through a given point parallel to a given straight line. — Euclid I., 31. 3. The interior angles of a polygon are equal to twice as many right angles, diminished...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pagina’s
...each to each ; and also the remaining angle of the one to the remaining angle of the other. 6. Draw a straight line through a given point parallel to a given straight line. 7. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pagina’s
...therefore AB is parallel to CD (I. 27). • ....!.: • » *•*; PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. . Given the point A and the straight line BC ; it is requirtffi to draw a straight line through the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 pagina’s
...parts, into eight, into sixteen, <fec. PROBLEM VII. 302. Tlirough 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, ""••-........
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pagina’s
...is equal to the angle GKD; (ax. 1) and they are alternate angles ; PROP. XXXI. — PROBLEM. To draw a straight line through a given point, parallel to a, given straight line. (Beferences — Prop. i. 23, 27.) Let A be the given point, and BC the given right line. It is required...
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