 | Educational law and legislation - 1859 - 434 pages
...Carpenter's Theorem, to wit: The square described upon the hypotemise of a right-angled triangle is equal to the sum of the squares described upon the other two sides. Although not a demonstration, it will carry with it a clear conviction .to many minds, and will be... | |
 | Churches of Christ - 1863 - 876 pages
...practice of mankind. The j mechanic does not think it necessary to prove 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, every time that he attempts to square a building. It is enough for him to know... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...to give here the demonstration from Euclid. 408. Theorem. — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAG. The square described... | |
 | Leland A. Webster - Sociology - 1866 - 372 pages
...could the square described upon the hypothenuse of a right-angled triangle be otherwise than precisely equivalent to the sum of the squares described upon the other two sides. The integral and differential calculus of this mathematics, however, as manifested in the complex activities... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...to give here the demonstration from Euclid. 408. Theorem — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...The property may be expressed in the language of algebra, thus, THEOREM XII. 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. 1 • " / Of Bight Angled Triangles. Let BAC be a right angled triangle, right... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...second ratio, are CD and DB to be compared? 346. COR. 3. — 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. DEM.— From Oar. 1, AC* = AB x AD and also CB* = AB x DB. Therefore, adding,... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...the segments of the base. THEOREM XII. 271 The square described on the hypothenuse of a right angle is equivalent to the sum of the squares described upon the other two sides. Let AB C be a triangle rightangled at B ; then AC* = AJ/ -j- B C" On the three sides construct squares,... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...second ratio, are CD and DB to be compared? 346. COR.. 3. — .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. DEM.— From Cor. 1, AC" = AB x AD and also CBa = AB x DB. Therefore, adding,... | |
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In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. 
