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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. "
Elements of plane geometry, book i, containing nearly the same propositions ... - Seite 57
von Euclides - 1865
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...it.* PROP. II. PROB. — From a given point to draw a straight line equal to a giren straight bne.t Let A be the given point, and BC the given straight line ; it is required to draw from A a straight line equal to BC. From the point A to B draw (I. post. 1) the straight line AB; and...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...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...BC the given straight line : it is required to draw through the point A a straight line parallel to BC. In BC take any point D, and join AD ; and at the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 Seiten
...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,...the given straight line ; it is required to draw, from the point A, a straight line equal to BC. From the point A to B draw (1. Post.) the straight line...
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Practical Masonry, Or, A Theoretical and Operative Treatise of Building ...

Edward Shaw - 1846 - 342 Seiten
...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 - 1846 - 128 Seiten
...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 - 1846 - 128 Seiten
...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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An elementary course of mathematics, Band 2

Samuel Hunter Christie - 1847 - 172 Seiten
...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...AB. Which was required to be done. PROP. II. PROS. From a given point to dram a straight line equal to a given straight line. Let A be the given point,...BC the given straight line; it is required to draw from the point A a straight line equal to BC. From the point A to B draw (Post. 1.) the straight line...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 Seiten
...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 A to BC,...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - 1849 - 156 Seiten
...raised 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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