| 1859
...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 - 306 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
...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
...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
...(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 - 361 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
...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
...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
...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
...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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