| Charles Hutton - 1811
...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
...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
...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
...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 - 344 sider
...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 - 128 sider
...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 - 344 sider
...|— , 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 - 308 sider
...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
...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 - 1869 sider
...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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