 | William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...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... | |
 | United States Naval Academy - 1899 - 624 pages
...product of its base and altitude. Prove geometrically that the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon tinother two sides. 5. What is meant by dividing a line in extreme a mi »«.•« n ni/ in / A line... | |
 | Harvard University - Geometry - 1899 - 39 pages
...; and also as the squares of their perimeters. THEOREM VIII. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. BOOK V. REGULAR POLYGONS AND THE MEASURE OF THE CIRCLE. THEOREM I. An equilateral... | |
 | International Correspondence Schools - Civil engineering - 1899 - 722 pages
...therefore complementary. 50. In any right triangle, the square described upon the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 37, is a right FIG. 36. triangle, right-angled at B, then the square described upon the... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...homologous lines. \j 194 BOOK IV. PLANE GEOMETRY. PROPOSITION X. THEOREM. 415. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two legs. Let BE, CH, AF be squares on the three sides of the right triangle ABC. a To prove... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...formula a? - 62 = (a + 6)(a - 6). Proposition 172. Theorem. 208. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two legs. B Hypothesis. AB is the hypotenuse of the rt. A ABC, and ABED, ACGF, and CBKH are... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...compare in area with the sum of the squares on the other sides ? Theorem. The square upon the hypotenuse of a right triangle is equivalent to the sum of the squares upon the other two sides. FIRST METHOD Data : Any right triangle, as ABC; the square on the hypotenuse,... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...homologous lines. BOOK IV. PLANE GEOMETRY. PROPOSITION X. THEOREM. 415. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two legs. Let BE, CH, AF be squares on the three sides of the right triangle ABC. To prove that... | |
 | International Correspondence Schools - Marine engineering - 1900 - 614 pages
...• 18 = 10J. Ans. 385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse^... | |
 | 1900 - 728 pages
...of a right angle. 714. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 38, is a right-angled triangle, right. angled at B, then the square described upon the... | |
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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. 
