| Robert Potts - Geometry - 1876 - 446 pages
...the points of section. 8. Divide a 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. 9. In the Algebraic solution of the preceding problem, we obtain a, quadratic equation... | |
| Education Department,London - 1876 - 1010 pages
...original square. 3. 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. If the constructed figure be completed to form an oblong, the diagonals oí the... | |
| Edward Harri Mathews - 1879 - 94 pages
...in this proposition ? 4. Divide a 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. 5. Describe a square that shall be equal to a given rectilineal figure. 6. Define... | |
| Euclides - 1879 - 146 pages
...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 may be equal to the square** on the other part. Let AB be the given st. line. It is required to divide AB into two parts, so that... | |
| University of Oxford - Greek language - 1879 - 414 pages
...to one another. 9. 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. 10. In a circle the angle in a semicircle is a right angle ; but the angle in a... | |
| French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...and parallel. 2. 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. 3. The opposite angles of any quadrilateral figure inscribed in a circle are together... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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 : it is required to divide it into two parts,... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...on half the line. 4. 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. 5. The angle at the centre of a circle is double of the angle at the circumference... | |
| 1880 - 160 pages
...two parts. (viii.) 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. 5. If the distances of a point from two given straight lines be known, prove that... | |
| Education Ministry of - 1880 - 238 pages
...in this proposition ? 4. Divide a 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. 5. Describe a square that shall be equal to a given rectilineal figure. 6. Define... | |
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