| Euclides - Euclid's Elements - 1837 - 88 pages
...= 2 AC* + 2 CD!. H PROPOSITION XI. E ._ Problem. 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 c KT~i the other part. Steps of the Demonstration. 1. Prove that CF... | |
| Euclides - 1838
...of the other part. Let 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. From the point A draw* AC perpendicular and *" o™4... | |
| Euclides - Geometry - 1841 - 351 pages
...of the other part. Let 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. Upon AB describe* the square ABDC; bisect* AC * 46.... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...and equiangular pentagon has been inscribed. Otherwise. " Divide the radius of the given circle, so **that the rectangle contained " by the whole and one of the parts** may be equal to the square of the other " (11. 2.). . Apply in the circle, on each side of a given... | |
| Euclides - 1842
...therefore a straight line, &c. QED PROP. XI. PROB. To divide a given straight line into two parts, so **that the rectangle contained by the whole, and one of the parts,** shall be equivalent to the square of the other part. Let AB be the given straight line : it is required... | |
| Education - 1844
...together equal to the square of the whole line. 7. 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. 8. If in a circle two straight lines cut one another,... | |
| Euclides - 1845
...straight line, &c. QED PROPOSITION XI. PROBLEM. 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. Let AB be the given straight line. It is required to... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...by the same curolla'y, tliť PROP. XI. PROB. — 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 the other part. Let AB be the given straight line ; it is required to... | |
| Great Britain. Council on Education - 1845
...together with the square of the other part. 62. 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. 63. Show that if — B he substracted from A, the result... | |
| Euclid - Geometry - 1845 - 199 pages
...of the other part. Let 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. Upon AB describe* the square ABDC ; bisectf AC in •... | |
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