 The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.  Plane Geometry - Page 141by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1915 - 277 pagesFull view - About this book
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...legs parallel to the given base and distant one foot from it ? 2. Prove that the equilateral triangle constructed on the hypotenuse of a right triangle is equivalent to the sum of the equilateral triangles upon the legs. 3. Transform a trapezoid into an equivalent square. 4. Find a... | |
 | University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...correctness of your work. 5 Prove that two circumferences have the same ratio as their radii. 6-7 The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 8 Find the area of an equilateral triangle which is inscribed in a circle whose... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...similar polygons have the same ratio as the square roots of their areas. 379. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 380. Cor. The square on either leg of a right triangle is equivalent to the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...polygons equals the square of their ratio of similitude. PROPOSITION XI. THEOREM 403. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides* S GIVEN — the right triangle ABC and the squares described on its three sides.... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...polygons equals the square of their ratio of similitude. PROPOSITION XI. THEOREM 403. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.* S GIVEN—the right triangle ABC and the squares described on its three sides.... | |
 | Edgar Hamilton Nichols - Geometry - 1896 - 180 pages
...right triangles ? 463. The principle of 460 and 461 stated in words is as follows : The square formed on the hypotenuse of a right triangle is equivalent to the sum of the squares formed on its sides. H MS. 72. cause the discovery of it is attributed to Pythagoras, a famous Greek... | |
 | Mathematicians - 1896 - 368 pages
...cases. A historical note will be appended to the completed list. THEOREM. The, square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other tiro sides. , PROOFS. ' ' I. RESULTING FROM LINEAR RELATIONS OF SIMILAR RIGHT... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...CD. Then MN= J (B + 6). § 91 SQUARES ON LINES. PROPOSITION VIII. THEOREM. 235. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Given—ABC a right triangle right-angled at C. To Prove—The square... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...polygons are proportional to the squares on their apothems. 343. COR. 3. The polygon whose base is the hypotenuse of a right triangle is equivalent to the sum of the polygons similar to it whose bases are the two sides of the triangle. [Use §§ 340, 222, VI., and... | |
 | William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...theory and practice of morals. He is supposed to have discovered the famous proposition that "the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides." I'j I Ilia. See PYTHONESS. Pythian Games. Festival in honor of Apollo and... | |
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