 | John Playfair - Mathematics - 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 - 546 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 - 714 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 - 560 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 - 588 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 - 800 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 - 354 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 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,... | |
| |
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 up of the whole and that... 
