 | George Washington Hull - Geometry - 1897 - 408 pages
...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 ABED equivalent to the sum of... | |
 | Edward Sylvester Ellis - United States - 1897 - 422 pages
...Euclid, or pans asiuomm (the square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides). ':;' PERIOD VII THE NEw UNITED STATEs 1865 The President's Cabinet Assassination of the President Garfield... | |
 | Encyclopedias and dictionaries - 1897 - 946 pages
...opposite the right angle. The well-known property of the H., that the square described on it is equal to the sum of the squares described on the other two sides, is proved in the famous 47th proposition of the first book of Euclid's Elements, and has, in the sixth... | |
 | John Clark Ridpath - Encyclopedias - 1897 - 498 pages
...opposite to the right angle. The well-known property of the II., that the square described on it is equal to the sum of the squares described on the other two sides, is proved in the famous 47th proposition of the first book of Euclid's Element». Hypothecation, the... | |
 | Yale University - 1898 - 212 pages
...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 triangle is the maximum.... | |
 | Mathematics - 1898 - 228 pages
...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 triangle is the maximum.... | |
 | Michigan. Department of Public Instruction - Education - 1898 - 706 pages
...proposition in geometry: "The square described on the hypothenuse of a right angled triangle is equal to the sum of the squares described on the other two sides." The reasoning powers are not applied in reaching a conclusion here; and, as a general rule, the proposition... | |
 | W. H. F. Henry - Questions and answers - 1899 - 440 pages
...its length ; and the length and breadth are equal. 24. What is the Pythagorean Theorem f The square on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares on the sides that contain the right angle. This theorem, discovered by Pythagoras, is known as the... | |
 | Harvard University - Geometry - 1899 - 39 pages
...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 polygon inscribed... | |
 | Stanley Waterloo - 1899 - 308 pages
...reply to you, and we show to you that we can reason by indicating that the square of the hypothenuse of a rightangled triangle is equivalent to the sum of the squares of the other two sides. Hope to hear from you further. There was the right-angled triangle, its lines... | |
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The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. 
