| John Playfair - 1806 - 311 sider
..." with the square of the difference of the lines." ,, PROP. VIII. THEOR. .• IF a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and the... | |
| Robert Simson - 1806 - 518 sider
...straight line, kc. QE D, PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour **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 up of the whole and that... | |
| John Mason Good - 1813
...and that part, together with the square of the other part. Prop. VIII. Theor. If a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and that... | |
| Euclides - 1814
...with the square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. IF a straight line be **divided into any two parts, four times the rectangle...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 up of the whole and that... | |
| Euclides - 1816 - 528 sider
...withthe square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOfc. IF a straight line be **divided into any two parts, four, times the rectangle...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 up of the whole and that... | |
| Daniel Cresswell - 1817 - 436 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
...the square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, **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 il made up of the whole and that... | |
| 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 up of the whole and the... | |
| John Playfair - 1819 - 333 sider
...lines." PROP. VIII. THEOR. If a straight line be divided into any two parts , four times the reftanglt **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 up of the whole and the... | |
| Miles Bland - 1819 - 377 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,... | |
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