 | Evan Wilhelm Evans - 1884 - 170 σελίδες
...etc. THEOREM XXVI. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a triangle rightangled at B. It is to be proved that the square AEDC is equivalent to the sum of the... | |
 | Euclides - 1884 - 434 σελίδες
...PROPOSITION 47. THEOREM. The square described on the hypotenuse of a right-angled triangle is equal to the squares described on the other two sides* Let ABC be a right-angled triangle, having the right angle BAC - : it is required to prove that the square described on BC = square on BA + square... | |
 | New York (N.Y.). Board of Education - 1885 - 990 σελίδες
...distance between them. The square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the squares described on the other two sides. If a line be divided into two parts, the square described on the whole line is equivalent to the sum... | |
 | Henry Albert Reed - 1886 - 214 σελίδες
...the familiar principles that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides ; and that if a perpendicular be let fall from the vertex of the right angle to the hypothenuse, the... | |
 | 1886 - 580 σελίδες
...them be found ? " The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides." — Davics' Lfgeniire, Bk. iv, Prop. n. Was the Pythagorean harmony known as " The Music of the Spheres,"... | |
 | Joseph Baldwin - 1887 - 360 σελίδες
...President ; that the earth revolves around the sun ; that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides of a right-angled triangle ; and we accept these conclusions as true. We assent to these conclusions... | |
 | Henry Albert Reed - 1888 - 300 σελίδες
...the familiar principles that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides; and that if a perpendicular be let fall from the vertex of the right angle to the hypothenuse, the... | |
 | Adonijah Strong Welch - 1889 - 348 σελίδες
...and 8 inches long, the hypothenuse 10 inches; show that the square described on the hypothenuse is equal to the sum of the squares described on the other two sides, by dividing each of the three squares into small squares whose area is one inch each; then counting... | |
 | James William Nicholson - 1889 - 408 σελίδες
...to find the third side. THEOREM. — The square described on the hypothenuse of a right triangle is equal to the sum of the squares described on the other two sides. Hence, the square of cither side about the right angle is equal to the square of the hypothenuse diminished... | |
 | Edward Albert Bowser - 1890 - 418 σελίδες
...Proposition 7. Theorem. 374. The square described OH the hypotenuse of aright triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, rt. augled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq.... | |
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The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. 
