 | John Playfair - Euclid's Elements - 1832 - 358 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 is made up of the half... | |
 | 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,...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 pages
...to the 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...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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...to the square 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...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 - Mathematics - 1836 - 524 pages
...b, as above stated. Geometrically, this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle...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... | |
 | Mathematics - 1836 - 488 pages
...unequal lines is equal to the rectangle contained by their sum and difference. VI. If a straight line be bisected, and produced to any point ; the rectangle...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 - Mathematics - 1836 - 542 pages
...PECULIAR RECTANGLE. 473 Geometrically, this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle...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, James Thomson - Geometry - 1837 - 410 pages
...under the sum and difference of the hypotenuse and the other. PROP. VI. THEOR. IF a straight line be bisected, and produced to any point ; the rectangle...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 - Euclid's Elements - 1837 - 290 pages
...the rectangle contained by their sum and difference. PROPOSITION VI. THEOREM. If a straight line be bisected, and produced to any point, the rectangle...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 - Euclid's Elements - 1837 - 112 pages
...= figs. AH + LF ; and these = AD x DB + CD2. PROPOSITION VI. K Hi X Theorem. If a straight line be bisected and produced to any point, the rectangle contained by the whole line produced, and the part of it produced, together with the square of half the line bisected, is equal... | |
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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... 
