 | John Playfair - Mathematics - 1806 - 320 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 a straight line DE, terminated at the point D, but unlimited towards E,... | |
 | Robert Simson - Trigonometry - 1806 - 546 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,... | |
 | John Mason Good - 1813 - 714 pages
...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 pages
...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... | |
 | Daniel Cresswell - Geometry - 1816 - 352 pages
...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... | |
 | Euclides - 1816 - 588 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,... | |
 | John Mason Good - 1819 - 800 pages
...le»! 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 - Circle-squaring - 1819 - 350 pages
...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... | |
 | John Playfair - 1819 - 354 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,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 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... | |
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... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. 
