 | Euclides - Geometry - 1841 - 378 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 to three given straight lines, but any two whatever of these must be greater than the third.* * 20. 1.... | |
 | Euclides - 1842 - 316 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 to three given straight lines, but any two whatever of these must be greater than the third (20. 1.) Let... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...the third. Let 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. 3) FG equal to A, FH to B, and... | |
 | Euclides - 1845 - 546 pages
...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 three given straight lines, but any two whatever of' these must be greater than the third. Let A, B,... | |
 | Euclid - Geometry - 1845 - 218 pages
...reason, the exterior angle CEB of the triangle ABE is greater than BAC ; PROPOSITION XXII. PROB. — 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* Let A, B,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20. 1.)• Let A,...the point D, but unlimited towards E, and make (3. 1.)DFequaltoA, FGtoB, and GH equal to C ; and from the centre F, at the distance FD, describe (3. Post.)... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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.)... | |
 | Euclides - 1846 - 292 pages
...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 be equal to three given straight lines, but any two whatever of these must be greater than the third (1. 20). Let... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...Wherefore, if from a point, &c". QED Recite (a), pos. 2; (4), p. 20; (c), ax. 4; (d), p. 16. 22 P. To make a triangle of which the sides shall be equal to three given straight lines (A, B, C); but any one of them must be less than the sum of the other two.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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, but any two whatever of these must be greater than the third. (19 Prop.)... | |
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Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz. 
