| John Playfair - Geometry - 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.)... | |
| Euclid - 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... | |
| 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, and BC** the given straight line ; it is required to draw from the point A a straight line equal to BC. Ģi... | |
| Euclides - 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...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 through the point A, ~/ parallel... | |
| 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...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... | |
| Euclides - 1842 - 320 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...given straight line. Let A be the given point, and** вc the given straight line; it is required to draw a E straight line through the point A parallel... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...are alter- _ \TC _ nate angles ; therefore AB is parallel C \ TA (27. 1.) to CD. \ PROP. XXXI. PROB. **To draw a straight line through a given point parallel to a given straight line.** AD; and at the point A, in the ** / IT In BC take any point D, and join _ -, straight line AD, make... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...are equal (B. II. Prop. 4, Cor. 1). PROP. V. PROBLEM. Through a given point to draw a straight line **parallel to a given straight line. Let A be the given point,** DC the given line. From A as a centre, with any radius longer than the shortest distance from A to... | |
| Euclides - 1845 - 544 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...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 the... | |
| |