| 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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