 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | Thomas J. Foster - 1891 - 444 σελίδες
...divided by the number of sides. 18. 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. Thus, in a right-angled triangle whose base is -20 ft. and its altitude 10, the square of the hypothenuse... | |
 | 1891 - 890 σελίδες
...to the right angle. The well-known property of the hypothennse, that the square described on it is equal to the sum of the squares described on the other two sides, is proved in the 47th proposition of the first book of Euclid's Elements. Hyracotherium, a genus of... | |
 | Euclid - 1892 - 460 σελίδες
...equal straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, tlien the angle contained by these two sides shall be a right angle. B Let ABC be ;i triangle; and... | |
 | Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...algebraical statement. 8 •2 9 6 10 12 3. (a) If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. (V) Enunciate the converse of Euclid... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
