| Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...the given straight line AB. PROPOSITION II. PROBLEM. 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. — From the point A to B draw (Post. 1.) the straight... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...to GKD ; and they 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... | |
| Robert Simson - Geometry - 1838 - 434 pages
.../ — D nate angles ; therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED / **PROP. XXXI. PROB. To draw a straight line through...line ; it is required to draw a straight line through** EAF the point A, parallel to the straight line ~ BC. In BC take any point D, and join AD ; and at the... | |
| Euclid - Geometry - 1838 - 470 pages
...alter- C _. nate angles ; therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED O B **PROP. XXXI. PROB. To draw a straight line through...line ; it is required to draw a straight line through** EAF the point A, parallel to the straight line '' BC. In BC take any point D, and join AD ; and at... | |
| 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. Ģi POĢ. From the point A to B draw* the straight line... | |
| Euclides - Geometry - 1841 - 378 pages
...are alternate angles; therefore AB is parallel • to CD. Wherefore straight lines, &c. QED * ". l. **PROP. XXXI. PROB. To draw a straight line through...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... | |
| Euclides - 1842 - 316 pages
...therefore also AGK is 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...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 - 1842 - 332 pages
...given straight line AB. PROP. II. PROB. From a given point to draw a straight line equal to a givtn **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. From the point A to B draw (1. Post.) the straight line... | |
| John Playfair - Euclid's Elements - 1844 - 334 pages
...to GKD; and they 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... | |
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