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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 10
av Euclid, Robert Simson - 1838 - 416 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...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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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 sider
...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 - 1829 - 186 sider
...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 - 1830 - 316 sider
...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 - 1832 - 333 sider
...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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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 sider
...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 ...

Robert Simson - 1835 - 513 sider
...described upon the given straight line AB. Which was required to be done. PROP. II. PROB. From a given point to draw a straight line equal to a given straight...it is required to draw from the point A a straight lin^qual to BC. a 1. Post. From the point A to B draw a the straight line AB; and upon it b 1. 1. describe...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
..." 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 - 1835 - 316 sider
...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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The Element of Geometry

John Playfair - 1836 - 114 sider
...are parallel to one another. PROP. IV. 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 join...
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