 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 hue BC.  Observational Geometry - Page 49by William Taylor Campbell - 1899 - 240 pagesFull view - About this book
 | Euclid - 1835 - 540 pages
...therefore AB is parallel b to CD. Where- b 27. 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 . _-,... | |
 | 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 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... | |
 | 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 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... | |
 | 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 - 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 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... | |
 | 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 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... | |
 | Euclides - 1842 - 316 pages
...equal to GKD; and they are alternate angles ; therefore AB is parallel (27. 1.) to cD 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 вc the given straight line; it is required to draw a E straight line... | |
 | Euclides - 1845 - 546 pages
...parallel to CD. (i. 27.) Wherefore straight lines which are, &c. QED PROPOSITION XXXI. PROBLEM. To dram 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 through the point... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...are alter- VK nate angles ; therefore AB is parallel C \ TJ (27. 1.) to CD. \ •** PROP. XXXI. PROS. To draw a straight line through a given point parallel to a given straight line. \ _ ** In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23.... | |
 | Euclides - 1847 - 128 pages
...prove the Theorem, when it is placed either above AB or below CD. PROP. XXXI. THEOR. GEN. ENUN. — To draw a straight line through a given point parallel to a given straight line. PART. ENUN. — Let A be the gn. pt., and BC the gn. st. line. Then it is required to draw through... | |
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