| Euclid - 1904 - 456 Seiten
...QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To 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. Let AB be the given straight line. It is required... | |
| United States. Bureau of Education - 1907
...two parts, together with twice the rectangle contained by (lie two parts. 8. 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. The following is a list of the names of the Rhodes scholars... | |
| 1907
...between the poiuts of section, is equal to the square of half the line. 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. SECTION B. 5. Jf one angle of a triangle be equal to the sum... | |
| Association of Ontario Land Surveyors - 1907
...right angle. 5. To divide a given straight line into two parts so that the rectangle contained under **the whole and one of the parts shall be equal to the square** on the other part. 6. The sum of the perpendiculars let fall from any point within an equilateral triangle... | |
| United States. Office of Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, **so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars... | |
| United States. Bureau of Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, **so that the rectangle contained by the whole and one of the** parte may be equal to the square on the other part. The following is a list of the names of the Rhodes... | |
| Euclid - 1908
...Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line **so that the rectangle contained by the whole and one of the parts** is equal to the square on the other part. This problem of course appears again in Eucl. vi. 30 as the... | |
| Euclid - 1908
...square on the remaining segment. Let AB be the given straight line ; thus it is required to cut AB **so that the rectangle contained by the whole and one of the** segments is equal to the square on the remaining segment. For let the square ABDC be described on AB... | |
| Trinity College (Dublin, Ireland) - 1911
...another the angle subtended by the first is greater than that subtended by the second. 5. Divide a **line into two parts so that the rectangle contained by the whole** line and one part shall be equal to the square of the other part. 6. Prove that the rectangle contained... | |
| Muḥammad ibn Mūsá Khuwārizmī - 1915 - 164 Seiten
...square on the remaining segment. " Let AB be the given straight line ; thus it is required to cut AB **so that the rectangle contained by the whole and one of the** segments is equal to the square on the remaining segment. 1 References and citations from the Elements... | |
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