 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...right triangle is double the other, the square of one leg is three times the square of the other. 905 The square on the hypotenuse of a right triangle is equivalent to four times the square on the median to the hypotenuse. 906 The square of the altitude of an equilateral... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...right triangle is double the other, the square of one leg is three times the square of the other. 905 The square on the hypotenuse of a right triangle is equivalent to four times the square on the median to the hypotenuse. 906 The square of the altitude of an equilateral... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...AS' A'B'2^ ABCDE Al? BC2 , ,,>. — 1 — etc. ( r ). 195 H 391. THEOREM. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the legs. Given : (?). To Prove: (?). Proof : Draw CL -L to AB, meeting AB at K and... | |
 | Frank H. Hall - Arithmetic - 1907 - 364 pages
...the ; and AB, the Fig. 2. • Fig. 1. 3. Convince yourself by measurements, etc., that the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides. Figures 2 and 3 are equal squares. If from Figure 2, the four right triangles,... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...of a trapezoid, cutting the bases, divides the trapezoid into two equivalent parts. 240. Theorem V. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. This theorem is the famous Pythagorean proposition, so called because it is said... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...special case of the problem. Its proof follows directly from the Pythagorean proposition, that is: the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. US 5. To construct a figure equivalent to (1) the sum of any number of given similar... | |
 | Education - 1910 - 554 pages
...lines in a triangle which are parallel to the base and terminated by the sides 7 The square inscribed on the hypotenuse of a right triangle is equivalent to the sum of the square of the two legs (Use the geometrical proof) 8 If squares are erected upon the sides of a regular... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...' '' AACD A A' C'D' A ABC A ABC '• AA'B'C' A ABC AA'B'C' A ABC ABAS* PROPOSITION X. THEOREM 337. The square on the hypotenuse of a right triangle is equivalent to the sum'of the squares on the other tivo sides. p XS IT Given the right triangle ABC, with AS the square... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...The area of the enlarged photograph is how many times as great as the area of the original ? THEOREM. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Of all the propositions of geometry this is the most famous and perhaps the most... | |
 | Geometry, Plane - 1911 - 192 pages
...side, a new triangle will be formed equal to four times the given triangle. 4. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. 5. Of all triangles having the same base and equal perimeters, the... | |
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In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
