 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
 | 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
...the 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... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...AT? ' A'"K'2 315-317] AREAS OF PLANE POLYGONS PROPOSITION VII 317. The area of the square described on the hypotenuse of a right triangle is equal to the sum of the areas of the squares described on the other two sides. JK Let ABC be a triangle, right-angled at... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...useful truth was discovered more than 2000 years ago by the Greek philosopher Pythagoras : The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. A special case of the theorem is illustrated in Fig. 170. The sides of... | |
 | 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.... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...square on which is equal to the difference of the squares on two given line-segments. 9. Five times the square on the hypotenuse of a right triangle is equal to four times the sum of the squares on the medians to the other two sides. 10. Three times the square... | |
 | Silas Ellsworth Coleman - 1903 - 258 pages
...of 90°, and mark the value of the resultant in the figure. Find the same resultant by computation. (The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.) Find the per cent of difference between these two results. The... | |
 | Gordon Augustus Southworth - Arithmetic - 1903 - 152 pages
...and its altitude 15 feet. What is the length of one of the equal sides ? 1. Show that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two short sides. 2. The base of a right triangle is 48 feet, and the perpendicular... | |
 | Isaac Newton Failor - Geometry - 1904 - 100 pages
...square on the diagonal of a square is twice the given square. 268. Show by a figure (Fig. 87) that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the legs. f a r5^: 22tc^ an 5 and 1± Rnd the i7V.c-ra.Te*fm. Ti^ ijT»:r-ii.-aw -f... | |
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