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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 the point A, parallel to the straight hue BC. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871
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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...are alter- VK nate angles ; therefore AB is parallel C \ TJ (27. 1.) to CD. \ •** PROP. XXXI. PROS. To draw a straight line through a given point parallel to a given straight line. \ _ ** In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...CD. Wherefore, Straight lines %c. QED PROP. XXXI. PHOB. 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....
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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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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...prove the Theorem, when it is placed either above AB or below CD. PROP. XXXI. THEOR. GEN. ENUN. — To draw a straight line through a given point parallel to a given straight line. PART. ENUN. — Let A be the gn. pt., and BC the gn. st. line. Then it is required to draw through...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...lines which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel (i. 27.) to CD. "Wherefore straight lines, &c. QED PROP. XXXI. PROB. To draw a straight line through a given point parallel...given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line A through the point A, parallel to...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...they are alter- VK nate angles ; therefore AB is parallel C \ Ti (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 givqp point, and BC the given straight line, it is required to draw a straight line through the point...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...line CD 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...
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