| Robert Potts - 1865 - 528 pages
...squares on AC, CD. Wherefore, if a straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight... | |
| Euclides - 1865 - 402 pages
...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. (References — Prop. 1 3, 10,... | |
| Charles Alfred Jones, Charles Hartwell Horne Cheyne - Algebra - 1867 - 164 pages
...geometric series of which the sum is 2 j1^ and the second term — - ? 7. If a straight line be divided **into two parts so that the rectangle contained by the whole line and one** part is equal to six times the square of the other part ; find the ratio of the parts. EXERCISE LXII.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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. Let AB be the given straight line... | |
| 1867
...by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£: , 10. Divide a given **straight line into two parts so that the rectangle contained by the whole** and one part may be equal to the square on the other part, jj yi . 1 1. Give construction only for... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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. Let AB be the given straight line... | |
| Washington Hudson - 1868
...required ratio, which is represented by the squares с b г/and ach i. Fi«. 104. То divide a given **straight line into two parts, so that the rectangle contained by the whole line and** lesser part, shall be equal to the square on the other. Let AB be the given line. On AB as a side,... | |
| 1868 - 886 pages
...square of the straight line which is made up of the half and the part produced 25 5. Divide a given **straight line into two parts, so that the rectangle contained by the whole** mid one of the pails shall be equal to the square of the other part 25 100 B. Latt of Pupils recommended... | |
| Robert Potts - 1868 - 410 pages
...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, Let AB be the given straight... | |
| Edinburgh univ - 1868
...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. 5. The angles in the same segment... | |
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