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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. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 62
by Benjamin Greenleaf - 1874 - 176 pages
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The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...straight line, 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, and BC the given straight line ; it is required to draw a straight line through the point A parallel to...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 254 pages
...from a given point without it. 7. To draw a straight line parallel to a given straight line. 8. From a given point, to draw a straight line parallel to a given straight line. It is required, II.—ANGLES. 1. To make a right angle. 2. To make an obtuse angle. 8. To make an acute...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...is parallel to CD (I. 27). PROPOSITION XXXI. PROBLEM. 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 E > r In BC take any point D, and...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...described one on each side of it. PROP. II. PROB. FUOM 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 A a straight line equal to BC. From the point...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...AB. Which was required to be done. PROP. II. PROB. 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. Ģi...
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Recreations in mathematics and natural philosophy, recomposed by m. Montucla ...

Jacques Ozanam - 1840
...straight one, and even excluding the use of a cord, with which the arc of a circle may be described. 1st. Through a given point to draw a straight line, parallel to a given straight line. к 4 Let А в (Fig. 4.) be the straight line, and с the point through which it is required to draw...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...parallel to the same straight line, are parallel to one another. A c/ B ci/ PROP. XXXI. PROB. From a given point to draw a straight line parallel to a given straight line. PROP. XXXII. THEOR. If a side of any triangle is produced, the external angle is equal to the two internal...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...Wherefore straight lines, &c. QED * ". l. PROP. XXXI. 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 to draw a r A r straight line through the point A, ~/ parallel...
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An epitome of navigation, and nautical astronomy, with the improved lunar tables

Janet Taylor - Nautical astronomy - 1842 - 588 pages
...that which has one of its angles obtuse, as the angle A, in the triangle ABC. PROBLEMS. PROBLEM l. Through a given point to draw a straight line parallel to a given straight line. Let D be the given point, and AB the .. ..^ given straight line. D Take the nearest distanee from D to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...parallel <Q \ TJ (27. 1.) to CD. ' f \ PROP. XXXI. 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 to draw a straight line through the point A, parallel to...
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