 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...(a — 6) = a2 — 62. PYTHAGOREAN THEOREM PROPOSITION X. THEOREM 418 The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. § 110 HYPOTHESIS. AH is the square on the hypotenuse, AD and pF are the squares... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...(a - 6) = a2 - 62. 202 PYTHAGOREAN THEOREM PROPOSITION X. THEOREM 418 The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. § 110 HYPOTHESIS. AH is the square on the hypotenuse, AD and BF are the squares... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...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 * ED at L. Draw BF... | |
 | Frank H. Hall - Arithmetic - 1907 - 364 pages
...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,... | |
 | Francis Rolt-Wheeler - History of mathematics - 1909 - 356 pages
...comes the expression "the harmony of the spheres." The Pythagorean theorem that the square described on the hypothenuse of a right triangle is equivalent to the sum of the two squares described on the sides is the most famous theorem of geometry. It is said that over a thousand... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...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
...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 Soulé - Business mathematics - 1910 - 1042 pages
...Mathematics — that the square described upon the hypotenuse of a right angled triangle, was equal to the sum of the squares described upon the other two sides — he sacrificed 100 oxen, in honor of the discoveryEvidence is abundant to show that, in the most... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...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... | |
 | Geometry, Plane - 1911 - 192 pages
...including sides proportional, the triangles are similar. 4. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 5. Take ABC any triangle in which the side AB is not equal to AC. Lay off on... | |
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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. 
