 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...demonstration from Euclid. 4OS. Theorem — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the... | |
 | Henry Barnard - Military education - 1872 - 988 pages
...area of a polygon. — Measure of the area of a trapezoid. The square constructed on the hypothenuBe of a right-angled triangle is equivalent to the sum of the squares constructed 011 the other two sides. — The squares constructed on the two sides of the right angle... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...line AC is equivalent to four times the square described on the half A B. BOOK IV. EQ THEOREM IX. 195. The square described on the hypothenuse of a right-angled...the squares described on the other two sides. Let ABC be a right-angled M triangle, having the right angle at A . then the square described on the hypothenuse... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...equivalent to four times the square described on the half A B. E D F G BOOK IV. F E THEOREM IX. 195. The square described on the hypothenuse of a right-angled...the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the hypothenuse... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...PROPOSITION XI. 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. , Let ABC be a triangle, right-angled at A : then will SO* = AS2 + AC2. Construct the square BG on the side... | |
 | 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,... | |
 | John Reynell Morell - 1875 - 220 pages
...the area of each 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... | |
 | 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... | |
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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. 
