The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Plane Geometry - Page 166by Webster Wells, Walter Wilson Hart - 1915 - 309 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... | |
| 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,... | |
| National Educational Association (U.S.). Meeting - Education - 1897 - 1148 pages
...height, look 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... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...the semicircle. 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 - 1896 - 570 pages
...semicircle. DA 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, Modern - 1896 - 276 pages
...semicircle. DA 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** thc sum of the squares of the other two sides* GIVEN — the right triangle ABC right angled at A,... | |
| National Education Association of the United States - Education - 1897 - 1148 pages
...height, look 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 Educational Association (U.S.) - Education - 1897 - 1170 pages
...height, look 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... | |
| 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... | |
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