 | James William Dodd - 1859 - 188 pàgines
...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 pàgines
...part. 8. 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. 9. Show that the diagonals of a rhombus bisect each other at right angles. 10. Construct an isosceles... | |
 | Robert Fowler - 1861 - 426 pàgines
...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...parts shall be 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 . •... | |
 | Euclides - 1862 - 172 pàgines
...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... | |
 | University of Oxford - 1863 - 316 pàgines
...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... | |
 | Henry White - 1864 - 156 pàgines
...parts. 5. 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. 6. Draw a straight line from a given point, either without or in the circumference, which shall touch... | |
 | Woolwich roy. military acad - 1864 - 588 pàgines
...straight line 2'76 inches long, and divide it 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. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The Drawing must be entirely Free-hand; no instrument... | |
 | Euclides - 1865 - 402 pàgines
...straight line. It is required to divide AB 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 CONSTRUCTION Upon AB describe the square ABDC ; (i. 46) bisect AC in E, (i. 10) and join BE ; produee... | |
 | 1868 - 876 pàgines
...10 3. To 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 25 4. In every triangle, the square of the side subtending any of the acute angles is less than the... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 pàgines
...parts. 5. 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. 6. Draw a straight line from a given point, either without or in the circumference, which shall touch... | |
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AB be the given straight line ; it is required to divide it 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. 
