| 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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