 The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.  Plane Geometry - Page 166by Webster Wells, Walter Wilson Hart - 1915 - 309 pagesFull view - About this book
 | William Taylor Campbell - Geometry - 1899 - 268 pages
...triangle as in the case of the two which you have just drawn, and is expressed as follows: The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. To construct a square, therefore, whose area shall be equal to... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...proposition, AC2 may be read "the square of AC," as we have assumed. PROPOSITION XXVI. — THEOREM. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Given. — Let ABC be a triangle, C right angled at C. To Prove.... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 174 pages
...following very useful truth was discovered more than 2000 years ago by the Greek philosopher Pythagoras : The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. A special case of the theorem is illustrated in Fig. 170. The sides of... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...proof given by Pythagoras is not certainly known. 318. COROLLARY. The area of any polygon described on the hypotenuse of a right triangle is equal to the sum of the areas of the similar polygons similarly described on the other two sides. Let a, b, c, be the sides... | |
 | Gordon Augustus Southworth - Arithmetic - 1903 - 152 pages
...triangle is 20 feet, and its altitude 15 feet. What is the length of one of the equal sides ? 1. Show that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two short sides. 2. The base of a right triangle is 48 feet, and the perpendicular... | |
 | Silas Ellsworth Coleman - 1903 - 258 pages
...mark the value of the resultant in the figure. Find the same resultant by computation. (The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.) Find the per cent of difference between these two results. The... | |
 | Isaac Newton Failor - Geometry - 1904 - 100 pages
...diagonal of a square is twice the given square. 268. Show by a figure (Fig. 87) that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the legs. f a r5^: 22tc^ an 5 and 1± Rnd the i7V.c-ra.Te*fm. Ti^ ijT»:r-ii.-aw -f... | |
 | Education - 1913 - 914 pages
...proposition thrust it forcibly upon the attention of the Greeks. When it was learned that the square upon the hypotenuse of a right triangle is equal to the sum of the squares of the legs, it was natural to inquire what is the length of the hypotenuse x of a right... | |
 | Elmer Adelbert Lyman - Arithmetic - 1905 - 268 pages
...3.1604 for ir. 180. The Egyptians are also credited with knowing that in special cases the square on the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. They were careful to locate their temples and other public buildings... | |
 | George Clinton Shutts - 1905 - 260 pages
...find X ? § 317. 4. Construct the rectangle. PROPOSITION X. 341. Theorem. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle whose hypotenuse... | |
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