 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.  Horses, Horsemen and Stable-management - Side 37av Godfrey Bosvile - 1908 - 276 siderUten tilgangsbegrensning - Om denne boken
 | Charles Hutton - 1822 - 616 sider
....-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
...;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
...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... | |
 | Elias Loomis - 1849 - 252 sider
...line which joins the middle points of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square of the whole line is equivalent to the squares of the two parts, together with twice the rectangle... | |
 | Elias Loomis - 1858 - 256 sider
...line which joins the middle pointi of the sides which are not parallel. PROPOSITION VIII. THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent to the squares of the two parts, together with twice the rectangle... | |
 | Euclides - 1860 - 288 sider
...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 the straight... | |
 | Robert Potts - 1860 - 380 sider
...BC. If therefore a straight line be divided, &c. QED PROPOSITION IV. THEOREM. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. let the straight... | |
 | Horatio Nelson Robinson - 1860 - 470 sider
...to the sum of all its parts. Hence the theorem ; if one of two lines is divided, etc. THEOREM XXXVI. If a straight line is divided into any two parts, the square described on the whole line is equivalent to the sum of the squares described on the two parts plus... | |
 | War office - 1861 - 714 sider
...it are either two right angles or are together equal to two right angles. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3. If in a circle... | |
 | University of Oxford - 1863 - 316 sider
...the angle which is contained by the two sides, equal to them, of the other. 10. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. 11. If from... | |
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