 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.  Introduction and books 1,2 - Page 257by Euclid - 1908Full view - About this book
 | Ireland commissioners of nat. educ - 1834 - 370 pages
...PROBLEM. I. To bisect a given straight line, that is, to divide it into two equal parts, . . . .7 II. Through a given point to draw a straight line parallel to a given straight line, . . .8 HI. To draw a straight line parallel to, and at a given distance from, a given line, . . .8... | |
 | Euclid - 1835 - 540 pages
...1. fore, " 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, and BC the given straight line ; it is required to draw a straight . _-, line through the point A, parallel E A. JP to the straight... | |
 | John Playfair - Geometry - 1836 - 148 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 the straight line BC. In BC... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 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 A to BC,... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 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 join AD ; and at the point... | |
 | Euclid, James Thomson - 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 A to B draw (I. post. 1.)... | |
 | 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... | |
 | 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 POĢ. From the point A to... | |
 | Jacques Ozanam - 1840 - 850 pages
...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... | |
 | 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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