| John Playfair - Euclid's Elements - 1806 - 320 pages
...by the lines together " with the square of the difference of the lines." ,, PROP. VIII. THEOR. .• **IF a straight line be divided into any two parts,...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 - Trigonometry - 1806 - 518 pages
...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 - 722 pages
...contained by the whole and that part, together with the square of the other part. Prop. VIII. Theor. **If a straight line be divided into any two parts,...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 - 558 pages
...rectangle AB, BC, together 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,...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 pages
...rectangleAB, BC, together withthe square of AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOfc. **IF a straight line be divided into any two parts,...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 - Euclid's Elements - 1817 - 454 pages
...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 pages
...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 pages
...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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...contained by the lines together 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** reftanglt contained by the whole line, and one of the parts, together •with the square of the other... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...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,... | |
| |