| Euclid, John Playfair - Euclid's Elements - 1804 - 440 pages
...PROP. XI. PR OB. TO divide a given ftraight line into two parts, fo that the.rectangle contained by **the whole, and one of the parts, may be equal to the** fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two... | |
| Miles Bland - Geometry - 1819 - 377 pages
...the given square. (9.) To divide a straight line into ttvo parts, so that the rectangle contained by **the whole and one of the parts may be equal to the square of** a given line, which is less than the line to be divided. L,etAB be the given line to be divided. Upon... | |
| Miles Bland - Geometry - 1819 - 377 pages
...the given square. (9.) To 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 of** a given line, which is less than fhe line to be divided. Let AB he tlie given line to be divided. Upon... | |
| James Ryan - Algebra - 1824 - 516 pages
...remainder, minus 1, will be 9 times the number sought. Ans. 1 1 , or 3] . Prob. 22. It is required to divide **20 into two such parts, that the product of the whole and one of the parts,** shall be equal to the square of the other. Ans. lOv/5— 10, and 30— lOy/5. Prob. 23. A labourer... | |
| James Ryan - Algebra - 1824 - 516 pages
...remainder, minus 1, will be 9 times the number sought. Ans. II, or 3], Prob. 22. It is required to divide **20 into two such parts, that the product of the whole and one of the parts,** shall be equal to the square of the other. Ans. lOv/5 — 10, and 30— 10^/5, Prob. 23. A labourer... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...to be done. Otherwise : "Divide the radius of the given eirele, so that the reetangle eontained by **the whole and one of the parts may be equal to the square** ef the other (tl. 2.). Apply in the eirele, on eaeh side of a given point, a line equal to the greater... | |
| 1845
...Cape, ii. 38.) 59. 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** a given line, which is less than the line to be divided. (Euclid, iii. 1 6, 36. Cape, ii. 38 and iii.... | |
| Horatio Nelson Robinson - Algebra - 1848 - 320 pages
...four droves was 1121. How many were in each drove? Ans. 1st, 162 ; 2d, 40 ; 3d, 606 ; 4th, 313. 99. **Divide the number 20 into two such parts, that the product of** their squares shall be 0216. Ans. 12 and 8. 30. Divide the number a into two such parts that the produ.-t... | |
| Great Britain. Committee on Education - 1850
...Euc. II. 11. To divide a given finite straight line into two parts, so that the rectangle contained by **the whole and one of the parts may be equal to the** squire of the other part. 4. Prove Euc. III. 22. The opposite angles of any quadrilateral figure inscribed... | |
| James B. Dodd - Algebra - 1859 - 306 pages
...servants; also the whole sum taken with them was $3456. What was the number of 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 —... | |
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