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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 336 sider
...described upon the given straight line AB. PROP. II. PROB. 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 iine ; it is required to draw, from the point A, a straight line equal to BC. From the point A to B...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 sider
...are alter- \K nate angles ; therefore AB is parallel C \ Ti (27. 1.) to CD. \ •*•' PROP. XXXI. PROB. To draw a straight line through a given point...through the point A, parallel to the straight line BC. E In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23. 1.)...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 sider
...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 sider
...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 sider
...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, Volum 7

Great Britain. Parliament. House of Commons - 1859 - 140 sider
...terms, 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...angles ; 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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 sider
...other ; the base of that which has the greater angle shall be greater than the base of the other. 6. Draw a straight line through a given point parallel to a /• given straight line. 7. In any right-angled triangle, the square which is described upon the side subtending the right angle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...to CD. (i. 27.) Wherefore, straight lines which are parallel, &c. QKI). PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given stmiyh line. Let A be the given point, and BC the given straight line. It is required to draw, through...
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