 | Euclides - 1864 - 262 pages
...their squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle... | |
 | Euclides - 1864 - 448 pages
...are double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle cnntnined by the whole and one of the parts, shall be equal to the square oii the other part.... | |
 | Robert Potts - 1865 - 528 pages
...their squares shall be equal to a given square. 15. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts, shall be equal to twice the square on the other part. }6. Any rectangle is the half of the rectangle... | |
 | Euclides - 1865 - 402 pages
...DB, are double of the squares of AC, CD. Wherefore, if a straight line, &c, QED PROP. XL— PROBLEM, To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part.... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 332 pages
...are 3, 4, and 5 units respectively. 5. Prove that if a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...are double of the squares on AC, CD. Wherefore, if a straight line &c. QED H PROPOSITION 11. PROBLEM. To divide a. given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...are double of the squares on AC, CD. Wherefore, if a straight line &c. QED PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may lie equal to the square on the other part.... | |
 | Edinburgh univ - 1868 - 336 pages
...Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.... | |
 | 1868 - 878 pages
...base shall be equtil 15 2. The greater side of every triangle is opposite to the greater angle 10 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part... | |
 | Robert Potts - 1868 - 434 pages
...double of the squares on AC, CD ; but DG is equal to DB; BOOK II. PROP. XI. PROPOSITION XI. PROBLEM. To divide a given straight line into two parts* so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part,... | |
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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
