 | Charles Davies - 1874 - 464 pages
...XI. THEOREM. The square described on the hypothenuse of a ri(/ l1t -angled triangle, is equal to t/>e sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at A : then will SC* = AS2 + AC*. Construct the square BQ on the side BC, the square AH on the side AB,... | |
 | Bombay city, univ - 1874 - 648 pages
...point without it. 2. Show that if the square described on one of the sides 8 of a triangle be equal to the sum of the squares described on the other two sides of it, the anglo contained by these two sides is a right angle. 3. In every triangle the square on... | |
 | United States Naval Academy - 1874 - 888 pages
...sides. 1. Prove that the square described on the hypothenu.se of a right triangle is ci ; ni valent to the sum of the squares described on the other two sides. .">. Prove that a triangular pyramid is one-third of a triangular prism of the samo base and altitnde,... | |
 | Education - 1875 - 398 pages
...perimeter is regular. • 3. PROPOSITION. 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. 4. PROPOSITION. If the diagonals of a quadrilateral bisect each other the figure is a parallelogram.... | |
 | Lorenzo Fairbanks - 1875 - 472 pages
...third side. THEOREM. — 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. COROLLARY. — The square of either side about the right angle is equal to the square of the hypothenuse... | |
 | John Reynell Morell - 1875 - 220 pages
...triangle,* and taking the sums of these areas. THEOREM Vm. The square constructed on the hypothenuse of a rightangled triangle is equivalent to the sum of the squares constructed on the sides. Let AC B be a rightangled triangle, with right angle vertex at C ; construct... | |
 | James William Nicholson - Arithmetic - 1889 - 408 pages
...find the third side. THEOREM. — The square described on the hypothenuse of a right triangle is equal to the sum of the squares described on the other two sides. Hence, the square of cither side about the right angle is equal to the square of the hypothenuse diminished... | |
 | Adonijah Strong Welch - Educational psychology - 1889 - 348 pages
...inches long, the hypothenuse 10 inches; show that the square described on the hypothenuse is equal to the sum of the squares described on the other two sides, by dividing each of the three squares into small squares whose area is one inch each; then counting... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...COMPARISON OF AREAS. Proposition 7. Theorem. 374. The square described on the hypotenuse of aright triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, rt. angled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq.... | |
 | William Chauvenet - Geometry - 1891 - 336 pages
...A'D'E' + A'E'F' & PROPOSITION X.— THEOREM. 21. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at C ; then the square AH, described upon the hypotenuse, is equal... | |
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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. 
