 | Meyer Hirsch - 1827 - 288 sider
...construction is founded on Eue. VI. 13, 17. SECTION LXXIII. PROB. To 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... | |
 | Hirsch - 1827 - 690 sider
...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 - 1832 - 358 sider
..."(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 is made up of the half... | |
 | Euclides - 1834 - 518 sider
...difference. PROPOSITION VI. THEOR. — If a straight line be bisected, and produced to any point, lke rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclid - 1835 - 540 sider
...rectangle contained by their sum AD and difference DB. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by...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 is made... | |
 | Robert Mudie - 1836 - 524 sider
...stated. Geometrically, this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by...the part of it produced, together with the square of half the line bisected is equal to the square of the straight line, which is made up of the half... | |
 | John Playfair - 1836 - 148 sider
...of CB. Wherefore, If a straight line, &c. QED PROP. XXII. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | 1836 - 488 sider
...equal to the rectangle contained by their sum and difference. VI. If a straight line be bisected, and produced to any point ; the rectangle contained by...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Robert Mudie - 1836 - 542 sider
...RECTANGLE. 473 Geometrically, this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by...the part of it produced, together with the square of half the line bisected is equal to the square of the straight line, which is made up of the half... | |
 | Andrew Bell - 1837 - 290 sider
...contained by their sum and difference. PROPOSITION VI. THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
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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... 
