 The square constructed upon the sum of two lines is equivalent to the sum of the squares constructed upon these two lines, increased by twice the rectangle of these lines.  Plane and Solid Geometry - Side 213av George Albert Wentworth, David Eugene Smith - 1913 - 470 siderUten tilgangsbegrensning - Om denne boken
 | Adrien Marie Legendre - 1852 - 436 sider
...will remain the two rectangles BCGI, FIHE, each of which is measured by ABxBC: hence, the square on the sum of two lines is equivalent to the sum of the squares on tlie lines, together with twice the rectangle 'contained by the lines. Cor. If the line AC were... | |
 | George Roberts Perkins - 1856 - 460 sider
...which we will close this Book. THEOREM XXX. The square constructed on the sum or on the difference of two lines, is equivalent to the sum of the squares constructed respectively on these lines, plus or minus twice their rectangle. The simple inspection of the figure... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 sider
...connects the middlt, points of its inclined sides. PROPOSITION Vm. THEOREM. The square described on the sum of two lines is equivalent to the sum of the squares described on the lines, together loi1h twice the rectangle contained by the lines. Let AB, BC, be any... | |
 | George Roberts Perkins - 1860 - 472 sider
...which we will close this Book. THEOREM XXX. The square constructed on the sum or on the difference of two lines, is equivalent to the sum of the squares constructed respectively on these lines, plus or minus twice their rectangle. The simple inspection of the figure... | |
 | Eli Todd Tappan - 1864 - 288 sider
...This formula, therefore, includes the following geometrical 403. Theorem. — The square described upon the sum of two lines is equivalent to the sum of the squares described on the two lines, increased by twice the rectangle contained by these two lines. Since the... | |
 | Eli Todd Tappan - 1868 - 444 sider
...b, This formula, therefore, includes the following geometrical 403. Theorem — The square described upon the sum of two lines is equivalent to the sum of the squares described on the two lines, increased by twice the rectangle contained by these two lines. Since the... | |
 | Isaac Stone - 1869 - 272 sider
...Of a Trapezoid? D. 8, 9. B. IV. 8. Demonstrate the following Proposition : "The square described on the sum of two lines is equivalent to the sum of the squares described on the lines, together with twice the rectangle contained by the lines." P. VIII. B. IV.... | |
 | Isaac Stone - 1869 - 278 sider
...Of a Trapezoid? D. 8, 9. B. IV. 8. Demonstrate the following Proposition : " The square described on the sum of two lines is equivalent to the sum of the squares described on the lines, together with twice the rectangle contained by the lines." P. VIII. B. IV.... | |
 | Eli Todd Tappan - 1873 - 288 sider
...b, This formula, therefore, includes the following geometrical 403. Theorem — The square described upon the sum of two lines is equivalent to the sum of the squares described on the two lines, increased by twice the rectangle contained by these two lines. Since the... | |
 | Edward Olney - 1872 - 102 sider
...quadrilateral are supplementary, it may be circumscribed by a circumference. 663. The square described on the sum of two lines is equivalent to the sum of the squares on the lines, plus twice the rectangle of the lines. SUG'B.—Be careful to give the construction fully,... | |
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