 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. In BC take any point...  A Supplement to the Elements of Euclid - Page 5by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 - Geometry - 1841 - 378 pages
...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
...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
...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
...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
...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... | |
 | Euclides - 1848 - 52 pages
...which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...therefore AB is parallel (i. 27.) to CD. "Wherefore 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 A... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side subtending the... | |
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