 | Euclides - 1838 - 264 σελίδες
...angle CEB of the triangle ABE is greater Hum BAC : and it has been demonstrated that the angle BDC is greater than the angle CEB; much more then is the...greater than the angle BAC. Therefore, if from the ends, <fec. a. ED greater than BC, /tarn each ofthege take AC," an operation which is imputtilte when AC... | |
 | Euclides - 1841 - 378 σελίδες
...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,... | |
 | John Playfair - 1842 - 332 σελίδες
...angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the ankle BAC. PROP. XXII. PROB. To construct a triangle of which the sides shall be equal to three given... | |
 | Euclides - 1842 - 316 σελίδες
...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,... | |
 | Euclides - 1845 - 546 σελίδες
...and it has been demonstrated, that the angle BDC is greater than the angle CEB ; much more therefore is the angle BDC greater than the angle BAC. Therefore, if from the ends of die side, &c. QED PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to... | |
 | Euclid - 1845 - 218 σελίδες
...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,... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...A, B, C be three riven 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 pint in it, and make (I.... | |
 | Euclides - 1846 - 292 σελίδες
...angle CEB of the triangle ABE is greater than the angle BAE: But it has been shewn that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the angle BAC. Wherefore, If from the ends %e. QED PROP. XXII. PHOB. To make a triangle, of which the sides shall... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...BAC, much more then is L BDC > /_ BAC. Therefore, if from the ends of, &c. PROP. XXI. PROB. 22. lEu. To make a triangle of which the sides shall be equal to three given straight lines, tut any two whatever of these must be greater than the third. (19 Prop.) Let A, B, C, be the 3 given... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that the angle BDC is greater than the angle CEB ; much more then is the angle BDC greater than the anele BAC. PROP. XXII. PROB. To construct a triangle of which the sides shall be equal to three given... | |
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To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third, (i. 
