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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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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 the straight line BC. In BC take any point...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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 through the point A, parallel to the straight line BC. In BC take any point D, and...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...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 arc EO...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...proceeding while we are pursuing the course of a 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 and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...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 ,pi jg __ the given line. BT ~ From the point A as a centre, with \ ...--"' a radius sufficiently great,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...straight lines, &c. \ QED PROP. XXXI. PROS. To draw a straight line through a given point parallel (9 9 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 line BC. In BC take any point D, and...
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The Quarterly Journal of Education, Volume 5

Education - 1833 - 412 pages
...participle 6. Show the steps by which you arrive at the form D^nM (and he dreams). MATHEMATICS. 1. From a given point to draw a straight line equal to a given straight line. 2. To make a triangle of which the sides shall be equal to three given straight lines, any two of these...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...been drawn, equal to BC. In all the possible Cases, therefore, has been shown how from an assigned point to draw a straight line equal to a given straight line BC. Which was to be done. And by parity of reasoning, the like may be done in every other instance....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
..." 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 through the point A, parallel E A. JP to the straight line BC. In BC take any...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...A on the straight line BC. PROP. XIII. PROB. 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 A to draw a straight line through the point A, parallel to the straight line BC. In BC take any point...
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