 | Euclides - 1834 - 518 pages
...of, &c. QED PROPOSITION XXII. PROB. — To make a triangle of which the sides shall be equal Se6 N. to three given straight lines, but any two whatever of these must be greater than the third *. • 20. 1. Let A, B, C be the three given straight lines, of which any two whatever are greater... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...BDC greater than the angle BAC. Therefore, " if from the ends of," &c. QED PROP. XXII. PROB. s«e N. To make a triangle of which the sides shall be equal...three given straight lines, but any two whatever of f 20. I. these must be greater than the thirdf. Let A, B, C, be the three given straight lines of which... | |
 | Euclid - 1835 - 540 pages
...the third, viz. A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...the angle CEB ; still greater, then, is the angle BDC than the angle BAC. PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal...given straight lines ; but any two whatever of these lines must be greater than the third (1. 20). Let A, B, C, be the three given straight lines, of which... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...> CD + DB, 4. that Z BDC > Z BAG. PROPOSITION XXII. Problem. To make a triangle, the sides of which shall be equal to three given straight lines, but...whatever of these must be greater than the third. Steps of the Demonstration. 1. Prove that FK = A, 2. that GK = c, 3. that FG = a. PROPOSITION XXIII.... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...A, B, C be three given straight lines, of which any two are greater than the third : it is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take an unlimited straight line DE, and let F be a point in it, and make (I.... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...the angle BDC greater than the angle BAC. Therefore, if from the ends of, &c. QED PROP. XXII. PROB. To make a triangle of which the sides shall be equal...two whatever of these must be greater than the third (20. 1.)* Let A, B, C be the three given straight lines, of which any two whatever are greater than... | |
 | Euclides - 1838 - 264 pages
...third, viz. A and B greater than C ; A and C greater than B ; and B and C greater than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take d straight line DE terminated at the point D, but unlimited towards E,... | |
 | Euclides - Geometry - 1841 - 378 pages
...the third, viz. A and B greater than C; A and C greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point I), but unlimited towards E,... | |
 | Euclides - 1842 - 316 pages
...third, viz. A and в greater than c ; A and c greater than в ; and в and c than A. It is required to make a triangle of which the sides shall be equal to A, B, c, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,... | |
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... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 
