 | John Playfair - Geometry - 1836 - 148 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...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... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...angles ; thereb 27. 1. fore AB is parallel b to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROB. To draw a straight line through a given point parallel...and BC the given straight line ; it is required to A draw a straight line jg through the point A, parallel to the straight line BC. g ^ In BC take any... | |
 | 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
...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...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 A, in the straight line... | |
 | 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,...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.) the straight line AB;... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...are alter- \K nate angles ; therefore AB is parallel C \ T\ (27. 1.) to CD. \ ** PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. 30 E In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23. 1.)... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...two straight lines which shall both be parallel to the same .wght line. PROPOSITION XXXI. Problem. To draw a straight line / through a given point parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. If a side of any triangle be produced, the... | |
 | 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,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. «i PO«. From the point A to B draw* the straight line... | |
 | Euclides - Geometry - 1841 - 378 pages
...angles; therefore AB is parallel • to CD. Wherefore straight lines, &c. QED * ". l. PROP. XXXI. PROB. To draw a straight line through a given point parallel...BC the given straight line; it is required to draw a r A r straight line through the point A, ~/ parallel to the straight line BC. _ jf_ In BC take any... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...are alter- VK nate angles ; therefore AB is parallel <Q \ TJ (27. 1.) to CD. ' f \ PROP. XXXI. PROB. To draw a straight line through a given point parallel...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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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... 
