 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.  Observational Geometry - Page 52by William Taylor Campbell - 1899 - 240 pagesFull view - About this book
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...projection of AB upon the line XY Proposition 25. Theorem. 327. The square of the number which measures the hypotenuse of a right triangle is equal to the sum of the squares of the numbers which measure the other two sides. Hyp. Let ABC be a rt. A , with rt. Z... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...a trapezoid is 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... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...find X? § 317. 4. Construct the rectangle. PROPOSITION X. 341. Theorem. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle, whose hypotenuse... | |
 | Edwin Pliny Seaver - Arithmetic - 1895 - 450 pages
...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 - 276 pages
...triangle plus the square on the difference of the sides. 101. Prove, by a geometrical construction, that the square on the hypotenuse of a right triangle is equal to the square on the sum of the sides minus four times the triangle. 102. On the side BC of the rectangle... | |
 | 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...four times the radius of its circumscribed circle. 100. Prove, by a geometrical construction, that the square on the hypotenuse of a right triangle is equal to four times the triangle plus the square on the difference of the sides. 101. Prove, by a geometrical... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...four times the radius of its circumscribed circle. 100. Prove, by a geometrical construction, that the square on the hypotenuse of a right triangle is equal to four times the triangle plus the square on the difference of the sides. 101. Prove, by a geometrical... | |
 | 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... | |
 | Education - 1897 - 876 pages
...x or x! + ?* = 1 ; from this last expression, PROBLEM 195. Prove by a geometrical construction that the square on the hypotenuse of a right triangle is equal to four times the triangle plus the square on the difference of the sides. — OM SHEKELL,, Oriole. Solution... | |
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