 | Robert Mudie - 1836 - عدد الصفحات: 524
...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... | |
 | John Playfair - 1836 - عدد الصفحات: 148
...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... | |
 | Robert Mudie - 1836 - عدد الصفحات: 542
...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... | |
 | Euclid, James Thomson - 1837 - عدد الصفحات: 410
...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... | |
 | Andrew Bell - 1837 - عدد الصفحات: 290
...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,... | |
 | Euclides - 1838 - عدد الصفحات: 264
...their sum and difference. 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... | |
 | Euclides - 1840 - عدد الصفحات: 82
...be equal to a given area, not exceeding the square of half the line. / / L. MK PROP. XXIX. PROB. To produce a given straight line, so that the rectangle contained by the segments between the extremities of the given line and the point to which it is produced, may be equal... | |
 | Euclides - 1841 - عدد الصفحات: 378
...their sum and difference. 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... | |
 | Euclides - 1842 - عدد الصفحات: 316
...their sum and difference. 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 equivalent to the square of... | |
 | John Playfair - 1842 - عدد الصفحات: 332
...by the segments AG, GB is equal to the square upon the given straight line C. PROP. XXIX. PROB. To produce a given straight line, so that the rectangle contained by the segments between the extremities of the given line, and the points to which it is produced, may be... | |
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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... 
