 | Edward Atkins - 1874 - 428 pages
...to make a triangle of which the sides shall be equal to A, B, and C, each to each. CONSTRUCTION. — Take a straight line DE terminated at the point D, but unlimited towards E. Make DF equal to A, FG equal to B, and GH equal to C (I. 3). From the centre F, at the distance FD,... | |
 | Euclides - 1874 - 342 pages
...greater than the angle BAC. Therefore, if from the ends of the side, &c. QED PROPOSITION 22.— 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,... | |
 | Euclides - 1874 - 120 pages
...of AO, BO, and CO is less than the sum of the three sides of the triangle. PROPOSITION 22. 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,... | |
 | Edward Atkins - 1874 - 426 pages
...than the ans-le >/BAC. BAC ' ° Therefore, if from the ends, <fec. QED V Proposition 22. — Problem. To make a triangle of which the sides shall be equal to t/vree given straight lines, but any two whatever of these lines must be greater than the third (I.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...than tie third, (I. 20.) namely, 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. A C TaVe 6 straight line DE terminated at the point D, but unlimited towards E, make DP equal to A,... | |
 | Education Department,London - 1876 - 1010 pages
...of the one shall be equal to the angle contained by the two sides, equal to them, of the other. 3. To make a triangle of which the sides shall be equal to three given straight lines, but any two of which are together greater than the third. What is the reason... | |
 | 1876 - 400 pages
...the angle contained by the two sides equal to them of the other. Are the triangles also equal ? 2. 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. 3. Describe... | |
 | Henry Major - 1876 - 784 pages
...Euclid. — 1. To bisect a given finite straight line, that is, to divide it into two equal parts. 2. 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. demonstration,... | |
 | Edward Atkins - 1876 - 130 pages
...radius. »n<i en FK = A. CK = c. Therefore, if from the ends, <tc. QED Proposition 22. — Problem. To make a triangle of which the sides shall be equal to tlirce given straight lines, but any two whatever of these lines must Le greater than the third (I.... | |
 | Euclides - 1877 - 58 pages
...the triangle ADB ; shew that the angle AEB is greater than the angle DAC. PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, any two of which are greater than the third. Let A, B, C be three given... | |
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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. 
