 | 1871 - 396 str.
...world of material bodies or in the infinite world of conceivable atoms ; and so, also, the theorem that the square upon the hypotenuse of a right triangle is equal to the sum of the squares upon its other two sides, is necessary in its truth, and universal in its application,... | |
 | William Chauvenet - 1871 - 380 str.
...the diameter and the segment adjacent to that chord. PBOPOSITION XIV.— THEOREM. 48. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be right angled at C; then, AB' = A For, by the preceding... | |
 | William Chauvenet - 1872 - 382 str.
...the diameter and the segment adjacent to that chord. PROPOSITION XIV.— THEOREM. 48. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be right angled at C; then, IB* = AC-' + BC\ For, by the... | |
 | Samuel Mecutchen, George Mornton Sayre - 1877 - 200 str.
...corners; what is the area of the field? Note. — It is established by Geometry that "The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides." Hence the following : — To find the hypotenuse of a right triangle.... | |
 | Alfred Hix Welsh - 1883 - 326 str.
...squares of two lines is 81, and one of the lines is 12; required the other. THEOREM XL The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Let ABC be a right triangle, whose hypotenuse is AB; then will... | |
 | Charles Austin Hobbs - 1889 - 370 str.
...triangle, when the sides are respectively 12cm, 15cm, and 20cm. RIGHT TRIANGLES. ito. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. This principle is illustrated in the annexed diagram. To find the... | |
 | James Wallace MacDonald - 1889 - 80 str.
...SCHOLIUM. Compare (a + b) (a — b) = a* — P. Proposition XI. A Theorem. 246. The square described on the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. COROLLARY. The square described on either side forming the right... | |
 | James Wallace MacDonald - 1894 - 76 str.
...SCHOLIUM. Compare (a + b) (a — b) = a1 — 63. Proposition XI. A Theorem. 246. The square described on the hypotenuse of a right triangle is equal to the sum of the squares of the other two - sides. COROLLARY. The square described on either side forming the right... | |
 | Edward Albert Bowser - 1890 - 420 str.
...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... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 522 str.
...polygons equals the ratio of the squares of two homologous sides. PROPOSITION IX. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. PROPOSITION X. The square described on the sum of two... | |
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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. 
