| Robert Simson - 1804
...ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| John Playfair - 1806 - 320 sider
...the lines." ,, 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, are equal to the square of the straight line which is made... | |
| John Mason Good - 1813 - 722 sider
...of the other part. 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 - 1816 - 528 sider
...straight line, &c. QED PROP. VIII. THEOfc. 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... | |
| Daniel Cresswell - 1817 - 454 sider
...circle DPE. PROP. XXIV. 114. Problem. To divide a given finite straight line into two parts, such that **the rectangle, contained by the whole line and one of the parts,** shall most exceed the square of that part. Let AB be the given finite straight line ; it is required... | |
| John Mason Good - 1819 - 740 sider
...HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole **and one of the parts, is equal to the rectangle contained by the two parts, together with** tiie square of the furesaicl part. Prop. IV. Theor. If a straight line be divided into any two parts,... | |
| Miles Bland - 1819 - 444 sider
...square of AC, ie to the square of the given line. (10.) To divide a given line into two such parts that **the rectangle contained by the whole line and one of the parts** may be (m) times the square of the other part, m being whole or fractional. Let AB be the given line,... | |
| John Playfair - 1819 - 317 sider
...difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, fouf times **the rectangle contained by the whole line, and one of the parts,** together with the square of the other fart, is equal to the square of the straight line which is made... | |
| Miles Bland - 1819 - 442 sider
...square of AC, ie to the square of the given line. (10.) To divide a given line into two such parts that **the rectangle contained by the whole line and one of the parts** may be (m) times the square of the other part, m being whole or fractional. Let AB be the given line,... | |
| Peter Nicholson - 1825 - 372 sider
...QED | ¿J J'rojjosiiion 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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