 | International Correspondence Schools - Electrical engineering - 1897 - 346 pages
...18 = lOf. Ans. FIG385. 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... | |
 | 1897 - 366 pages
...-^— = lOf. Ans. lo 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... | |
 | Mathematics - 1898 - 228 pages
...side, a new triangle will be formed equal to four times the given triangle. 4. The square described on the hypothenuse 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 isosceles... | |
 | Yale University - 1898 - 212 pages
...side, a new triangle will be formed equal to four times the given triangle. 4. The square described on the hypothenuse 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 isosceles... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
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The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. 
