| Euclides - 1838 - 264 sider
...line, &c. t>. i:. i,. * PROP. VIII. THEOR. If a straight line be dieided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Euclides - 1840 - 82 sider
...and the produced part. .n. . PROP. XI. PROB. To divide a given straight line in such a manner that **the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. rtl PROP. XII. THEOR. In an obtuse-angled triangle, the... | |
| Euclides - 1840 - 194 sider
...half and the produced part. PROP. XI. PROB. To divide a given straight line (AB) in such a manner that **the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. Upon AB construct the square ACDB ; bisect AC in E ;... | |
| Euclides - 1841 - 378 sider
...straight line, &c. QED PROP. VIII. THEOR. Iff 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 of the other part, is equal to the square of the straight line which is made... | |
| John Playfair - 1842 - 332 sider
...equality, by transposition. PROP. VIII. THEOR. 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 of the other part, is equal to the square of the straight line which is made... | |
| Euclides - 1842 - 320 sider
...straight line, &c. QED PROP. VIII. THEOR. 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 of the other part, is equivalent to the square of the straight line, which... | |
| Scotland free church, gen. assembly - 1847 - 552 sider
...other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that **the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. 4. The angle in a semicircle is a right angle. 5. Of... | |
| Euclid - 1845 - 218 sider
...line, &c. QED PROPOSITION VIII. THEOR. — 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 of the other part, is equal to the square of the straight line, which is made... | |
| Euclid, John Playfair - 1846 - 332 sider
...equality, by transposition. PROP. VIII. THEOR. 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 of the other part, is equal to the square of the straight line which is made... | |
| Euclides - 1848 - 52 sider
...of the other part. PROP. 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 of the other part, is equal to the square of the straight line, which is made... | |
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