| Euclid - 1838 - 416 sider
...demonstration it is manifest, that the parallelograms about the diameter of a square are likewise squares. **two unequal parts: the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. • Let... | |
| Euclides - 1841 - 351 sider
...are likewise squares. PROP. V. THEOR. If a straight fine be divided into two equal parts, and also **into two unequal parts; the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| John Playfair - 1842 - 317 sider
...and b; then, (a-\-b)2 PROP. V. THEOR. If a straight line lie divided into two equal parts, and also **into two unequal parts ; the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| Euclides - 1842
...are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also **into two unequal parts, the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equivalent to the square of half the line. Let... | |
| 1844
...parallelogram shall be double of the triangle. 6. If a straight line be divided into two equal parts, and also **into two unequal parts ; the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. 7. In obtuse... | |
| Euclid, James Thomson - 1845 - 352 sider
...square of one of them. PROP. V. THEOR. — If a straight line be divided into two equal parts, and also **into two unequal parts ; the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| Euclides - 1845
...squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into Iwo **unequal parts ; the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| Great Britain. Admiralty - 1846
...(a+by=a8+2ab+b8. PROP. XLIV. THEOR. 5. 2 Eu. If a straight line be divided into two equal parts, and also **into two unequal parts, the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the whole line. Let... | |
| Euclides - 1846
...square are likewise squares. PROP. V. THEOR. If a straight Kne be divided into two equal parts, and also **into two unequal parts, the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the line. Let the... | |
| Great Britain. Admiralty - 1846
...(a+b)*—a*-\-2ab + b*. PROP. XLIV. THEOR. 5 . 2 EU. If a straight line be divided into two equal parts, and also **into two unequal parts, the rectangle contained by the unequal parts, together with the** square of the line between the points of section, is equal to the square of half the whole line. Let... | |
| |