 From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.  Elements of Plane Geometry - Page 177by Franklin Ibach - 1882 - 196 pagesFull view - About this book
 | William Chauvenet - Geometry - 1871 - 380 pages
...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 of the sum and the difference of two... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...angles. (IV. 22.) 220. Prove, geometrically, that the square described upon the sum of two straight lines is equivalent to the sum of the squares described on the two lines plus twice their rectangle. Note. By the "rectangle of two lines" is here meant the rectangle of which... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...careful to give the construction fully, and show that the parts are rectangles, etc. FIG. 369. 666. The square described on the difference of two lines is equivalent to the sum of the squares on the lines, minus twice the rectangle of the lines. 667. The rectangle of the sum and difference... | |
 | Edward Olney - Geometry - 1872 - 96 pages
...SUG'S. — Be careful to give the construction fully, and show that the parts are rectangles, etc. 666. The square described on the difference of two lines is equivalent to the sum of the squares on the lines, minus twice the rectangle of the lines. 66 Y. The rectangle of the sum and difference... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...angles. (IV. 22. ) 220. Prove, geometrically, that the square described upon the sum of two straight lines is equivalent to the sum of the squares described on the two lines plus twice their rectangle. Note. By the "rectangle of two lines" is here meant the rectangle of which... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...demonstration from Euclid. 4OS. Theorem — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...by any twp of the straight lines which are about one of the right angles. PROPOSITION IX. THEOREM. The square described on the difference of two lines is equivalent to the sum of the squares of the lines, diminished by twice the rectangle contained by the lines. Let AB, BC be any two lines,... | |
 | Education - 1876 - 516 pages
...the squares AK and B O. Therefore : The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. 178 The EeUcttf, Teacher. -^ i W| HI ^? W-5 ^s fif ai "<» 2S£| ->H JH •& J " c cs o .1 %i%... | |
 | New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...on the other two sides. If a line be divided into two parts, the square described on the whole line is equivalent to the sum of the squares described on the two parts, together with twice the rectangle contained by the parts. Laid over under the rule. MOTIONS... | |
 | Connecticut. Board of Education - 1885 - 306 pages
...angles. 2. 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 twice the rectangle contained by the parts. 3. The angle formed by a secant and a tangent... | |
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