 | Mathematicians - 1896 - 368 pages
...cases. A historical note will be appended to the completed list. THEOREM. The, square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other tiro sides. , PROOFS. ' ' I. RESULTING FROM LINEAR RELATIONS OF SIMILAR RIGHT... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...CD. Then MN= J (B + 6). § 91 SQUARES ON LINES. PROPOSITION VIII. THEOREM. 235. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Given—ABC a right triangle right-angled at C. To Prove—The square... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...polygons are proportional to the squares on their apothems. 343. COR. 3. The polygon whose base is the hypotenuse of a right triangle is equivalent to the sum of the polygons similar to it whose bases are the two sides of the triangle. [Use §§ 340, 222, VI., and... | |
 | William Henry Chandler - Encyclopedias and dictionaries - 1898 - 630 pages
...theory and practice of 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... | |
 | Yale University - 1898 - 212 pages
...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... | |
 | Mathematics - 1898 - 228 pages
...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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...the algebraic 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... | |
 | Harvard University - Geometry - 1899 - 39 pages
...corresponding sides ; 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.... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...squares of any two homolof/ous 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. a To prove... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...squares of any two 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... | |
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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. 
