 | John Playfair - 1806 - 320 σελίδες
...Therefore, if from the ends of, &c. QED a 20. 1. b 3. Post. c 11. Def. PROP. XXII. PROB. TO construct a triangle of which the sides shall be equal to three...given straight lines; but any two whatever of these lines must be greater than the third1. Let A, B, C be the three given straight lines, of which any... | |
 | Robert Simson - 1806 - 546 σελίδες
...if from the ends of, &c. QED PROP. XXII. PROB. TO make a triangle of which the sides shall be See v. equal to three given straight lines, but any two whatever of these must be greater than the third a. aso. i. Let A, B, C be the three given straight lines, of which any two whatever are greater than... | |
 | John Mason Good - 1813 - 714 σελίδες
...less than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be equal to three given 4trai;ht lines, but any two whatever of these must be greater than the third. Prop. XXII 1. Pr<>b.... | |
 | Euclides - 1814 - 560 σελίδες
...if from the ends of, &c. QED PROP. XXII. PROB. To make a triangle of which the sides shall be See N. equal to three given straight lines, but any two whatever of these must be greater than the third".'to. v Let A, B, C be the three given straight lines, of which any two whatever are greater... | |
 | Euclides - 1816 - 588 σελίδες
...if from the ends of, &c. QED PROP. XXII. PROB. To make a triangle of which the sides shall be Sec x. equal to three given straight lines, but any two whatever of these must be greater than the third ". • 20. i Let A, B, C be the three given straight lines, of which any two whatever are greater than... | |
 | Daniel Cresswell - 1816 - 352 σελίδες
...describe a spherical triangle, of which the sides shall be equal to three given arches of great circles : but any two whatever of these must be greater than the third*. It is evident, that Art. 92. 59. and 31. may be applied to the construction of this problem, and its... | |
 | John Mason Good - 1819 - 800 σελίδες
...than the other two sides of the triangle, but ih.il] contain a gre.iter angle. Prop. XXII. Prob. To make a triangle of which the sides shall be equal...whatever of these must be greater than the third. Hicp X.X111. i'rob. At a given point in a given streicht line, to male a rectilineal angle equal to... | |
 | John Playfair - 1819 - 350 σελίδες
...greater than the angle BAC. Therefore, if from the ends of, &c. Q, ED PROP. XXII. PROB. To construct a triangle of 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, B", C be the three given straight lines, of which... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...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... | |
 | Euclid - 1822 - 222 σελίδες
...Euclid assumes that the circles intersect ; but this is easily demonstrated from the conditions of the problem, that any two of the given lines must be greater than the third ; for since the sum of the radii DG and EF is greater than DE, part of each circle must be within the... | |
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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 (20. 
