 | Charles Davies - 1846 - 254 σελίδες
...right-angled triangle equal to ? In every right-angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a rightangled triangle, right-angled at C, then will the square D, described on AB,... | |
 | James Bates Thomson - 1847 - 434 σελίδες
...contains 25 sq. ft. Hence, the square described on the hypothenuse of any right-angled triangle^ is equal to the sum of the squares described on the other two sides. OBS. Since the square of the hypothenuse BC, is 25, it follows that the , or 5, must be the hypothenuse... | |
 | James Bates Thomson - 1847 - 426 σελίδες
...10342656. 30. 34967ft-. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth of this principle may be seen from the following... | |
 | Charles William Hackley - 1847 - 248 σελίδες
...XXVI. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle A ; then will the square of the hypothenuse BC be equal to the sum of the squares of the... | |
 | George Roberts Perkins - 1847 - 326 σελίδες
...THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle C ; then will the square of the hypothenuse AB be equal to the sum of the squares of the... | |
 | James Bates Thomson - 1848 - 434 σελίδες
...contains 25 sq. ft. Hence, the syitffre described on Hie hypothenuse of any right-angled triangle, is equal to the sum of the squares described on the other two sides. OBS. Since the square of the hypothenuse BC, is 25, it follows that the ^/ 25, or 5, must be the hypothenuse... | |
 | Charles Davies - 1849 - 372 σελίδες
...PROPOSITION XI. THEOREM. 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. Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall from A,... | |
 | Almon Ticknor - 1849 - 156 σελίδες
...? 26. If you describe a square on the hypotenuse of a right-angled triangle, will it be equivalent to the sum of the squares described on the other two sides ? 27. What is the circumference of a circle? Radius? Arc? Chord? Segment? 28. What is an inscribed... | |
 | George Roberts Perkins - 1850 - 332 σελίδες
...THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the rightangle C ; then will the square of the hypothenuse AB be equal to the sum of the squares of the... | |
 | Charles Davies - 1850 - 398 σελίδες
...prove that the square Example, described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all... | |
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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. 
