 | Euclides - 1864 - 448 pages
...the angle BAC. Therefore, if from the ends of the side, &c. QED PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, but ang two whatever of these must be greater than the third. Let A, B, Che the three given straight... | |
 | Robert Potts - 1865 - 528 pages
...the angle BA C. Therefore, if from the ends of the 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, C be the three given straight... | |
 | Euclides - 1865 - 402 pages
...less than the other two sides of the triangle, but shall contain a greater angle. Prop. 22. 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. Prop. 23. At a given point in a given... | |
 | 1867 - 224 pages
...to the rectangle contained by the two parts, together with the square on the aforesaid part. 4. 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. 5. If a straight line be divided into... | |
 | Edinburgh univ - 1868 - 336 pages
...ALGEBRA. 23^ October 1867. 1. To bisect a given rectilineal angle. 2. To construct (when possible) a triangle of which the sides shall be equal to three given straight lines. State the condition under which it is possible. 3. If a straight line be divided into any two parts,... | |
 | Euclides - 1870 - 270 pages
...Add. 6 Ax. 4. 7 D. 3. 8 9 a fort. P. 16. 10 P. 16. 11 it fort. Recap. 12 PBOP. 22.— PROR To make a triangle, of which the sides shall be equal to three given st. lines, but any two whatever ^ of these must be greater than the third. SOL. — P. 3. From the... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...perimeter of the triangle, and greater than half the perimeter. 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 the three given lines, any two of which... | |
 | 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 - 120 pages
...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, B, C be the three given straight... | |
 | Euclides - 1874 - 342 pages
...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, C he the three given straight... | |
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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. 
