| 1859 - 414 páginas
...half the line. 10. Divide a 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. JULIUS CAESAR. 1. Write a short account of the author of the play Julius Ceesar. 2. What ancient writer... | |
| James B. Dodd - 1859 - 368 páginas
...gentlemen ? Ans. 12. 21. Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Ans. 10/ 5— 10, and 30 — 10.V5. 22. A laborer dug two trenches, one of which was 6 yards longer... | |
| James William Dodd - 1859 - 188 páginas
...whence z— 12. 21 . Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Let x represent the less number ; then 20 — x represents the greater. We shall then have the Equation... | |
| Royal college of surgeons of England - 1860 - 332 páginas
...square of the straight line made up of the half and the part produced. 8. Divide a given straight line into two parts, such that the rectangle contained by the whole line and one of the parts may be equal to the square of the other part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY,... | |
| James Elliot - 1860 - 252 páginas
...(as in Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that the rectangle contained by the whole line and one of the parts is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 —... | |
| Robert Potts - 1860 - 380 páginas
...line, &c. QED PROPOSITION VIII. THEOREM. ' If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which u made... | |
| Robert Fowler - 1861 - 426 páginas
...future, &c. &c. according to the explanations in p. 7. 5. Divide a line а feet long into two parts, so that the rectangle contained by the whole line and...equal to the square of the other part. Let x = the length of the greater part, in feet. . ' . a - x = „ less „ x2 = (a — 3¿) a . • . tf + ax... | |
| Euclides - 1862 - 172 páginas
...PROBLEM. To divide a given straight line into two parts, so that tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line. It is required to... | |
| Euclides - 1862 - 140 páginas
...line, &o. QED PROPOSITION 8. -THEOREM. If a straight line be divided into Any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made... | |
| University of Oxford - 1863 - 316 páginas
...line. 10. 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. 11. In every triangle, the square of the side subtending either of the acute angles is less than the... | |
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