| Joe Garner Estill - 1896 - 210 pages
...to find a mean proportional between two given lines. 6 6. The square described upon the hypotenuse **of a rightangled triangle is equivalent to the sum of the squares described** upon the other two sides. (Give the pure geometric proof. ) 7. In a triangle any two sides are reciprocally... | |
| Joe Garner Estill - 1896 - 186 pages
...how to find a mean proportional between two given lines. 6. The square described upon the hypotenuse **of a rightangled triangle is equivalent to the sum of the squares described** upon the otfier two sides. (Give the pure geometric proof.) 7. In a triangle any two sides are reciprocally... | |
| 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... | |
| 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... | |
| 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... | |
| John Clark Ridpath - 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... | |
| Mathematics - 1898 - 224 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.... | |
| 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.... | |
| 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... | |
| 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... | |
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