 | William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...and perpendicular. 479. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. Hence, the square of either of the two sides which form the right angle is equal to the square of the... | |
 | Joe Garner Estill - 1896 - 214 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 - 870 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 - Encyclopedias - 1897 - 496 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 - 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.... | |
 | 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 - 708 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... | |
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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. 
