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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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw a straight line through a given point parallel...given straight line. Let A be the given point, and BC E л г the given straight line ; it is required .to draw a straight line through the ./^ point A,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...straight lines. &e, QED PROP. XXXI. PROB. To draw a straight line through a given point parallel td a given straight line. Let A be the given point, and BC the given straight line, it is required tit draw a straight line thrbugh thfe point A, parallel to...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...angles ; therefore AB is parallel * to CD. * n. 1. 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 through the point A, parallel to the...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...four equal parts, into eight, into sixteen, and so on. PROBLEM. 1 39. 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 sufficiently great, describe the indefinite...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...science of pure reasoning." PROPOSITION II. PROBLEM. Fr->ma given point to draw a straight line equal to a given straight line. Let A be the given point, and C the given straight line, it is required to draw from A a straight line equal to C. From the centre...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 333 pages
...therefore AB \ D is parallel (27.1.) to CD. Where- N fore 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 re. quired to draw a straight line through the point A, parallel...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...therefore AB is parallel b to CD. Where- b 27. 1. fore, " 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 through the point A, parallel...
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The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...Straight lines that are parallel to the same straight line, are parallel to one another. PROP. IV. 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 through the point A parallel to the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...parts, into eight, into sixteen, and so ri" • PROBLEM VI. V...-- Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. 3 From the point A as a centre, with a radius greater than the shortest distance from...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...and they are alternate angles ;• therefore AB is parallel to CD (I. 27). PROPOSITION XXXI. PROBLEM. 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 E > r In BC take any point D, and...
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