 | 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...BC the given straight line. It is required to draw through the point A a straight line parallel to the straight line BC. In the line BC take any point... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...it.* PROP. II. PROB. — From a given point to draw a straight line equal to a giren straight bne.t 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) the straight line AB; and... | |
 | Euclides - 1846 - 292 pages
...CD. Wherefore, Straight lines %c. QED PROP. XXXI. PHOB. Through a given point to draw a straight line parallel to a given straight line, Let A be the given...BC the given straight line : it is required to draw through the point A a straight line parallel to BC. In BC take any point D, and join AD ; and at the... | |
 | 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.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Ku. To draw a straiglit line through a givmpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Wherefore str. lines, &c. PROP. XXX. PROB. 31. 1 Eu. To draw a straight line through a givenpoint, parallel to a given straight line. Let A be the given point, BC the given str. line. To draw a str. line through A || BC. In BC take any pt. D, join AD, make L... | |
 | 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... | |
 | Euclides - 1848 - 52 pages
...Straight lines 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
...AB. Which was required to be done. PROP. II. PROS. From a given point to dram 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. From the point A to B draw (Post. 1.) the straight line... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...they are alter- VK nate angles ; therefore AB is parallel C \ Ti (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 givqp point, and BC the given straight line, it is required to draw a straight line through the point... | |
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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. 
