 | Robert Fowler Leighton - 1877 - 372 pages
...proportional to the other two sides. Give proof. 5. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 6. Given two similar polygons, to construct one similar to them... | |
 | George Anthony Hill - Physics - 1880 - 204 pages
...proportional between the diameter and the adjacent segment. (20) The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. (21) Similar triangles (or polygons) are to each other as the squares... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...2. As ABD and BCD are similar triangles C THEOREM XXVII. 66i The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other tu<o sides. Let ABC be a triangle rightangled at B; then 0n the three sides... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...and side of a square are two incommensurable lines. ANOTHER DEMONSTRATION. 333. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. G U _ *3+t DLE Let ABC be a right A, having the right angle BAG. We are to... | |
 | Aaron Schuyler - Psychology - 1882 - 496 pages
...illustrate the above, take the case of the mathematician who in proving the proposition, The square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other sides, draws a particular right triangle and constructs a square on each of the three... | |
 | Engineering - 1884 - 616 pages
...parallel to OT, we have OC=x,, AC=y, ; =*,, BD=y,. -X -Y D HrX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides, '' we have, To ascertain if this formula is general or true, no matter what... | |
 | William Cain - Algebra - 1884 - 144 pages
...BD parallel to OY, we have OC = xl5 AC=y, ; —X -Y A4E D -tX Then, by the theorem that " the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides," we have, To ascertain if this formula is general or true, no matter what the... | |
 | W. Cain - 1884 - 156 pages
...BD parallel to OY, we have OC=x,, AC=y, ; =z2, BD=2/2. 4-Y -Y Then, by the theorem that " the square on the hypotenuse of a right triangle is> equivalent to the sum of the squares on the other two sides," we have, - To ascertain if this formula is general or true, no matter what... | |
 | Public schools - 1884 - 634 pages
...and included angle : Construct a parallelogram. 6. Prove that the square described on the hypothenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 7. Prove that if two triangles have two sides of the one equal respectively... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...with its side equal to BC, will be equivalent to the sum of M and N. For the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides (§ 338). 348- COROLLARY. By an extension of the above method a... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
