 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...pieces of cardboard of the shapes, and arrange them in the several ways, here indicated. PROPOSITION 48. THEOREM. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle.... | |
 | 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.... | |
 | Rupert Deakin - 1891 - 102 σελίδες
...subtending the right angle is equal to the squares described on the sides containing the right angle. 48. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle.... | |
 | 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... | |
 | 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... | |
 | Euclid - 1892 - 460 σελίδες
...squares stand ulion 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
...identical equality of triangles ? Briefly enunciate them. 20 3. 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. 15 4. Quote Playfair's Axiom ;... | |
 | Walter Thomas Cheney - 1893 - 352 σελίδες
...recall the geometrical theorem that the square described on the hypotenuse of a right-angle triangle is equal to the sum of the squares described on the other two sides. Well, imagine the ' earth ' to be that ' triangle ' and the ' mount ' the ' square,' and " " I see... | |
 | William Frothingham Bradbury - 1895 - 398 σελίδες
...the base and perpendicular. 479. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. Hence, the square of either of the two sides which form the right angle is equal to the square of the... | |
 | National Education Association of the United States - 1895 - 1120 σελίδες
...draw to show that 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, we are aided by seeing visible proof of the statement, and the drawing does not deteriorate. I doubt... | |
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If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 
