 | 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,... | |
 | 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... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...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... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...doctrines. 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 (§ 337). The proposition was known liefore his time, at any rate for special... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...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... | |
 | 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... | |
 | 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... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...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... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...equal parts ? Aug. 1 : (V2 - 1). AREAS [IV, § 196 196. Theorem VI. The Pythagorean Theorem. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. Given the rt. A ABC having AB as its hypotenuse. To prove that Alf = AC* + BC2. First... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...to each other as the squares on any two corresponding lines. PROPOSITION X. THEOREM 337. The square on the hypotenuse of a right triangle is equivalent to the sum of the .squares on the other two sides. p xs Given the right triangle ABC, with AS the square on the hypotenuse, and... | |
| |
The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
