 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...G, so that FG may be equal to FB; then join AG, and AG will intersect CD at the required point. 40. To divide a given straight line into two parts such that the difference of the squares on the parts may be equal to a given square. Let AB be the given straight... | |
 | James Maurice Wilson - 1869 - 260 pagina’s
...therefore remembering that AD = DC, we obtain by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square of the other part. Let AB be the given line. Construction. Draw a... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pagina’s
...squares on ABlt _B02, CAS together, is equal to the sum of those on A Ci, BAt, CB3 together. n. 11. Divide a given straight line into two parts, such that the rectangle contained by the whole and one part may be equal to that contained by the other part and a given straight line. 1863. in.... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pagina’s
...velocity of the river and the speed of the boats in still water. (25.) Section B.—Geometry. 27. Show how to divide a given straight line into two parts, such that the rectangle under the whole line and one of the parts may be equal to the square on the other part. Given, a straight... | |
 | Edward Harri Mathews - 1879 - 94 pagina’s
...other. What is the greatest value which these complements, for a given parallelogram, can have ? 3. Divide a given straight line into two parts, such that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Divide a given straight line into... | |
 | Isaac Todhunter - 1880 - 426 pagina’s
...?arts is equal to the sum of the squares described on the parts, the straight line is bisected. 135. Divide a given straight line into two parts such that the rectangle contained by them shall be the greatest possible. 136. Construct a rectangle equal to the difference of two given... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pagina’s
...sides shall be equal each to each, and the third angle of the one to the third angle of the other. 5. Divide a given straight line into two parts such that the rectangle contained by the whole and one part may be equal to the square on the other part. 6. In an isosceles triangle ABC, prove that... | |
 | College of preceptors - 1882 - 528 pagina’s
...the two parts increased by twice the rectangle contained by the two parts. 6. Show how to divide a straight line into two parts such that the rectangle contained by the whole line and one part shall be equal to the square described upon the other part. Prove the construction. 7. Define... | |
 | University of Glasgow - 1883 - 438 pagina’s
...in reference to human action. HIGHER MATHEMATICS. Uth Oc'ober, 1882. 1. Divide a given straight lino into two parts, such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Where does Euclid afterwards make use of... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...parts is equal to the sum of the squares described on the parts, the straight line is bisected. 135. Divide a given straight line into two parts such that the rectangle contained by them shall be the greatest possible. 136. Construct a rectangle equal to the difference of two given... | |
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Divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. 
