 The square constructed upon the difference of two straight lines is equivalent to the sum of the squares constructed upon these two lines, diminished by twice the rectangle of these lines. Let AB and AC be the two straight lines, and BC their difference.  Plane and Solid Geometry - Side 121av George Albert Wentworth - 1900Uten tilgangsbegrensning - Om denne boken
 | Benjamin Greenleaf - 1861 - 638 sider
...algebraical formula, (a + by = a1 + Zab + b1. . PROPOSITION IX. — THEOREM. 233. The square described on, the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Benjamin Greenleaf - 1862 - 518 sider
...equivalent to the algebraical formula, LF G K H PROPOSITION IX.— THEOREM. 233. The squa/re described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Benjamin Greenleaf - 1863 - 504 sider
...Scholium. algebraical formula, = «2+ 2 LF GI PROPOSITION IX. — THEOREM. 233. The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two fines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Eli Todd Tappan - 1864 - 288 sider
...demonstrate the theorem geometrically, by the aid of this diagram. 404. Theorem. — The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by those lines. This is a consequence... | |
 | Benjamin Greenleaf - 1868 - 340 sider
...algebraical formula, (a + by = a2 + 2 ab + b*. PROPOSITION IX. — THEOREM. 233. The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Eli Todd Tappan - 1868 - 432 sider
...demonstrate the theorem geometrically, by the aid of this diagram. 404. Theorem — The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by those lines. This is a consequence... | |
 | William Chauvenet - 1871 - 380 sider
...of which the two lines are the adjacent sides. 221. Prove, geometrically, that the square described upon the difference of two straight lines is equivalent to the sum of the squares described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle... | |
 | William Chauvenet - 1872 - 382 sider
...which the two lines are the adjacent sides. 221. Prove, geometrically, that the square f described upon the difference of two straight lines is equivalent to the sum of the squares described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle... | |
 | Eli Todd Tappan - 1873 - 288 sider
...demonstrate the theorem geometrically, by the aid of this diagram. 404. Theorem — The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by those lines. This is a consequence... | |
 | William Chauvenet - 1872 - 382 sider
...lines are the adjacent sides. 221. Prove, geometrically, that the square described upon the differcncj of two straight lines is equivalent to the sum of the squares described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle... | |
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