 | Charles Hutton - 1811 - 406 ページ
...the rectangle AD . AB is equal to the sum of all the ether rectangles AjJ . AE, AD. EF, AD . FB. c^. ED Corol. If a right line be divided into any two...the whole line, is equal to both the rectangles of die whole line and each of the parts. CB THEOREM XXXI. THE Square of the Sum of two Lines, is greater... | |
 | Euclides - 1821 - 294 ページ
...suppose '8 and 6 are the given quantities : then 6 X 6 -f- 6 X 2 is = to 8 X 8 — 8 X 2. PROP. 4T THEQR. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle under the... | |
 | Charles Hutton - 1822 - 616 ページ
...is equal to the .-11111 of all the other rectangles AD . AE, AD . EF, AD . FB. 4. c. D. E FB Carol. If a right line be divided into any two parts ; the...XXXI. THE Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice the Rectangle of the said Lines. Or, the Square of a whole... | |
 | William Grier - 1832 - 366 ページ
...25.) and AE, and AD and FB : thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.»— (Fig. 26.) If a right line be divided into any two parts, the...rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any two lines AC, CB ; then will the square of AB be equal to the... | |
 | William Grier - 1836 - 380 ページ
...AD and AE, and 9 BC Al) and EF, and AD and FB: thus expressed, AD. AB = AD . AE+ AD . EF + AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let... | |
 | George Darley - 1836 - 172 ページ
...together with the rectangle under DE and CB, that is, the rectangle under AC and CB. This, &c. ART. 92. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the parts together with twice the rectangle... | |
 | William Grier - 1836 - 384 ページ
...|— , to the , and AD and EF, and AD and FB: thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let... | |
 | William Grier - 1842 - 320 ページ
...rectangles of AD and AE, and AD and EF, and AD and FB: thus expressed, AD . AB=AD . AE +AD . EF+AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let... | |
 | Cambridge univ, exam. papers - 1856 - 252 ページ
...parallel. 6. Parallelograms on the same base and between the same parallels, are .equal to each other. 7. If a right line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
 | Sandhurst roy. military coll - 1859 - 672 ページ
...middle point of a diameter, and is terminated by two opposite sides, bisects the parallelogram. 3. If a right line be divided into any two parts the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
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If a straight line be divided into any two parts, the square on the whole line is... 
