| Hirsch - 1827 - 690 pages
...of this construction is founded on Eue. VI. 13, 17. SECTION LXXIII. Рвов. То produce a given **line, so that the rectangle contained by the whole line thus produced, and the part** produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
..."(AC+CD)(AC-CD)" PROP. VI. THEOR. If a straight line be bisected, and produced to any point; therect angle **contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Euclides - 1834 - 518 pages
...difference. PROPOSITION VI. THEOR. — If a straight line be bisected, and produced to any point, lke **rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Euclid - 1835 - 540 pages
...AD and difference DB. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together ivith the square of half the line bisected, is equal to the square of the straight line which... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected is equal to the square of the straight line, which... | |
| Mathematics - 1836 - 472 pages
...contained by their sum and difference. VI. If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| John Playfair - Geometry - 1836 - 114 pages
...straight line, &c. QED PROP. XXII. THEOR. If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected is equal to the square of the straight line, which... | |
| Euclid - Geometry - 1837 - 410 pages
...hypotenuse and the other. PROP. VI. THEOR. IF a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square .of half the line bisected, is equal to the square of the straight line which... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...segments AG, GB, is equal to the square upon the given straight line C. PROPOSITION XXIX. PROBLEM. **To produce a given straight line, so that the rectangle contained by the** external segments of the given line may be equal to a given space. Let AB be the given straight line,... | |
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