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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. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 97
by Charles Davies - 1854 - 432 pages
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

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...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

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...
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Elements of Geometry

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...
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The Columbian Cyclopedia, Volume 15

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...
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The People's Standard History of the United States: From the ..., Volume 4

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...
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The Standard American Encyclopedia of Arts, Sciences, History ..., Volume 4

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...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

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....
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

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....
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Report of the Superintendent of Public Instruction

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...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

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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