 | Lewis Sergeant - 1873 - 182 pages
...either of the interior opposite angles. Prove this. (See Geom., Prop. 14.) 5. Show how to construct a triangle of which the sides shall be equal to three given straight lines. (See Geom., Prop. 20.) Why must any two be greater than the third ? Show by figure what will happen... | |
 | Euclides - 1874 - 342 pages
...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...whatever of these must be greater than the third. Let A, B, C he the three given straight lines, of which any two whatever are greater than the third... | |
 | Euclides - 1874 - 120 pages
...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...whatever of these must be greater than the third. . Let A, B, C be the three given straight lines, of '• -which any two whatever are greater than the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...(BooK i.). l|hr. 1. Any two sides of a triangle are together greater than the third side. 2. Construct a triangle of which the sides shall be equal to three...whatever of these must be greater than the third. 3. Parallelograms on the same base, and between the same parallels, are equal to one another. 4. To... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...then is the angle BOC greater than A. (Ax. 9. ) PROP. XVII.— PROBLEM. (Euc. I. 22, 23.) To construct a triangle, of which the sides shall be equal to three given straight lines; but any two of these must be greater (I. 15) than the third. Let A, B, C be the given straight lines, of which... | |
 | 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...whatever of these must be greater than the third. 3. Describe an isosceles triangle of which the sum of the sides is equal to the perimeter of a given... | |
 | 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...whatever of these must be greater than the third. demonstration, in the last proposition. What is the reason for the restriction, " bat any two whatever... | |
 | Education Department,London - 1876 - 1010 pages
...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 for the limitation in the data Î... | |
 | D. Tierney - 1877 - 126 pages
...amount to in 20 years? Ans. £8315. 10s. EUCLID. SATUBDAY, 2ND DECEMBEE, 1876. 10 AM TO 1 PM 1. To make a triangle of which the sides shall be equal...whatever of these must be greater than the third. How would the process fail if the last condition were not fulfilled? If any two of the straight lines... | |
 | Samuel H. Winter - 1877 - 452 pages
...sine is •.",-. Prove that the length of each side of the building is -5L yards. XCIX. 1. Construct a triangle of which the sides shall be equal to three...whatever of these must be greater than the third. How would the process fail if the last condition were not fulfilled ? 2. Parallelograms on the same... | |
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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. 
