| Charles Hutton - 1811 - 406 sider
...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 parts ; the square on 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... | |
| Charles Hutton - 1822 - 616 sider
...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 square on the whole line, is equal to both the rectangles of the whole line and each of the parts. THEOREM XXXI. THE Square of the Sum of... | |
| Charles Hutton - 1825 - 608 sider
...sum of ;tll the other «• •* * M rectangles AD . AE, AD . EF, AD . FB. «. ED Corol. If a right line be divided into any two parts ; the square on the whole line, is equal to both the rectangles of the whole line and each of the parts. • THEOREM XXXI. THE Square of the Sum... | |
| William Grier - 1832 - 366 sider
...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 square on the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let the line AB be the sum of any... | |
| Euclides - 1860 - 288 sider
...• BC is equal to the square on BC, together with the rectangle AC • CB. PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Given... | |
| Robert Potts - 1860 - 380 sider
...line is equal to four times the square on half the line. Also, if a line be divided into any three parts, the square on the whole line is equal to the squares on the three parts, and twice the rectangles contained by every two parts. Prop. iv. Algebraically, (fig.... | |
| Euclides - 1864 - 262 sider
...line is equal to four times the square on half the line. Also, if a line be divided into any three parts, the square on the whole line is equal to the squares on the three parts, and twice the rectangles contained by every two parts. Prop. iv. Algebraically, (fig.... | |
| Euclides - 1864 - 448 sider
...line is equal to four times the square on half the line. Also, if a line be divided into any three parts, the square on the whole line is equal to the squares on the three parts, and twice the rectangles contained by every two parts. Prop. rv. Algebraically, (fig.... | |
| Euclides - 1865 - 402 sider
...rectangle under the two parts, together with the square on the aforesaid part . . . . . . . n. 3. 3. The square on the whole line is equal to the squares...on the two parts, together with twice the rectangle under the parts . n. 4. 4. The squares on the whole line, and on one of the parts, are equal to twice... | |
| Robert Potts - 1865 - 528 sider
...the rectangles contained by every two parts. And generally, If a line be divided into any number of parts, the square on the whole line, is equal to the squares on the several parts, together with twice the rectangles contained by every two parts. Prop. iv. Algebraically-... | |
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