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" Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 62
by Benjamin Greenleaf - 1874 - 176 pages
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...therefore AB is parallel (27. 1.) to cD PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and вc the given straight line; it is required to draw a E straight line through the point A parallel...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...D and A, having equal radii and equal chords, are equal (B. II. Prop. 4, Cor. 1). PROP. V. PROBLEM. Through a given point to draw a straight line parallel...to a given straight line. Let A be the given point, DC the given line. From A as a centre, with any radius longer than the shortest distance from A to...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...straight lines which are, &c. QED PROPOSITION XXXI. PROBLEM. To dram 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 through the point A a straight line parallel to...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...straight lines, &c. QED PROPOSITION XXXI. PROB. — To draw a straight line through a gieen point parattel 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 the point A, parallel to...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...angles ; therefore (1. 27) AB is parallel to CD. Wherefore, Straight lines %c. QED PROP. XXXI. PHOB. Through a given point to draw a straight line parallel...given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to...
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Practical Masonry, Or, A Theoretical and Operative Treatise of Building ...

Edward Shaw - Masonry - 1846 - 342 pages
...ik equal to g Л, and through k draw the straight line ED, and FED is the angle required. PROBLEM V. Through a given point /to draw a straight line parallel to a given straight Une AB. Fig. 5. Let /be the given point, and AB the given straight line. Draw any straight line/e,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Ku. To draw a straiglit line through a givmpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Eu. To draw a straight line through a givenpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...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 line ; it is required to draw, from the point A, a straight line equal to BC....
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...projection, except in the case in which these angles are together equal to a right angle. PROBLEM XX. Through a given point, to draw a straight line parallel to a given plane, and making, with the horizontal plane, a given angle, not greater than the inclination of the...
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