 The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.  Plane and Solid Geometry - Page 204by Webster Wells, Walter Wilson Hart - 1916 - 467 pagesFull view - About this book
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...equal to half the sum of its parallel sides multiplied by its altitude. 6 Prove that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other sides. 7-8 Construct an isosceles triangle, having given the angle between... | |
 | Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1895 - 412 pages
...taught nearly 2500 years ago by Pythagoras, and is commonly called The Pythagorean Proposition. The square upon the hypotenuse of a right triangle is equal to the sum of the squares upon the other two sides. 602. Hence we have the following rule : 1. To find the hypotenuse,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...will be a mean proportional between m and n. § 315. QEF PROPOSITION XV. THEOREM 317. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides* GIVEN — the right triangle ABC right angled at A, with sides... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...DA will be a mean proportional between in and n. § 315. PROPOSITION XV. THEOREM 317. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.* GIVEN — the right triangle ABC right angled at A, with sides... | |
 | National Educational Association (U.S.). Meeting - Education - 1897 - 1148 pages
...him in the face, and say : "Now, my boy, here is where you are to begin : remember that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Learn the rule, go to your seat, and work the sums." In determining... | |
 | National Education Association of the United States - Education - 1897 - 1148 pages
...in the face, and say : " Now, my boy, here is where you are to begin : remember that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Learn the rule, go to your seat, and work the sums." In determining... | |
 | National Educational Association (U.S.) - Education - 1897 - 1170 pages
...in the face, and say : " Now, my boy, here is where you are to begin : remember that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Learn the rule, go to your seat, and work the sums." In determining... | |
 | Florian Cajori - Mathematics - 1898 - 512 pages
...Pythagoreans is much concerned with areas. To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. He had probably learned from the Egyptians the truth of the theorem... | |
 | William Taylor Campbell - Geometry - 1899 - 268 pages
...triangle as in the case of the two which you have just drawn, and is expressed as follows: The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. To construct a square, therefore, whose area shall be equal to... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...AC2 may be read "the square of AC," as we have assumed. PROPOSITION XXVI. — THEOREM. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Given. — Let ABC be a triangle, C right angled at C. To Prove.... | |
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