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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, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 5
by Euclides - 1853
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...PROBLEM. To describe an equilateral triangle upon a given finite straight line. PROP. II. PROBLEM. From a given point, to draw a straight line equal to a given straight line. PROP. III. PROBLEM. From the greater of two given straight lines, to cut off a part equal to the less....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
..."Wherefore straight lines, &c. QED PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw a straight line A through the point A, parallel to the E 7 F straight line BC. AD ; and at the point...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...and let fall by a square, or other suitable instrument. 11. 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 the point A, as a centre, with a radius greater than the shortest distance from A to BC,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...will divide the angle ACB into two equal parts. PROBLEM VI. 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 the point A as a centre, with a radius greater than the shortest distance from A to BC,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...To draw a straight line through a given point parallel to a given straight line. Let A be the givqp point, and BC the given straight line, it is required to draw a straight line through the point A, parallel to the straight line E F In BC take any point D, and...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...revolves 4 times in going 13 yards ; how often will it revolve in going 2i miles? SECTION III. — 1. From a given point to draw a straight line equal to a given straight line. '2. If two angles of a triangle be equal to one another, the sides also which subtend or are opposite...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...lines, &c. QED ,F D BOOK I. PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point;...BC the given straight line; it is required to draw a straight line through the point A, parallel to the straight ,. -n/~ij? 4 E line BC. 7 In BC take...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...equal parts, into eight, into sixteen, and so on. PEOBLEM VI. 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 the point A as a centre, | with a radius greater than the shortest distance from A to .5(7,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 336 pages
...ABC is therefore equilateral, and it is described upon the given straight line AB. PROP. II. PROB. From a given point to draw a straight line equal to...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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...straight lines, &c. QED PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join...
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