 | Hugh Murray - 1832 - 392 pàgines
...deserving of attention. We have here the celebrated proposition, that the square on the hypotenuse of a rightangled triangle is equal to the squares on...other propositions which form part of the system of modem geometry. There is one proposition remarkable, namely, that which discovers the area of a triangle... | |
 | John Forbes Royle - 1837 - 230 pàgines
...treatises on geometry are pronounced to be inferior in excellence to those on algebra ; but they contain the celebrated proposition, that the square on the...squares on the sides containing the right angle ; and others which form part of the system of modern geometry. Among these, that which discovers the area... | |
 | Hugh Murray, John Crawfurd, Peter Gordon - 1843 - 472 pàgines
...mensuration. The celebrated proposition, that the square on the side opposite to the right angle of a right-angled triangle, is equal to the squares on the sides containing that angle, was familiar to them ten centuries before it was known to the Greeks. Yet this important... | |
 | REV. CHARLES BULLOCK - 1866 - 724 pàgines
...geometry, written as early as the year 1150 AD, contains the celebrated proposition that the square of the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the triangle. As a striking example üf tl-. absurd superstitious which may possess a strictly mathematical... | |
 | Ferdinand De Wilton Ward - 1877 - 376 pàgines
...figurative. The geometrical part of this work contains the celebrated proposition that the square of the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the triangle. And among other propositions the one which discovers the area of a triangle when the three... | |
 | Marianne Nops - 1882 - 278 pàgines
...to the square. On a given straight line to describe a square (I. 46). The square on the hypothenuse is equal to the squares on the sides containing the right angle, in any right-angled triangle, and conversely (I. 47, I. 4S). EUCLID'S ELEMENTS. BOOK I. PROPOSITION... | |
 | College of preceptors - 1882 - 528 pàgines
...this Proposition. 3. In any right-angled triangle, the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. 4. If a straight line be divided into any two parts, the squares on the whole line and on one of the... | |
 | Har Bilas Sarda (Diwan Bahadur) - 1906 - 506 pàgines
...deserving of attention. We have here the celebrated proposition that the square on the hypotenuse of a right-angled triangle is equal to the squares on...part of the system of modern geometry. There is one remarkable proposition, namely, that which discovers the area of a triangle when its three sides are... | |
 | Euclid - 1908 - 550 pàgines
...BFto £G. PROPOSITION 47. In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. Let ABC be a right-angled triangle having the angle sJSAC right; I say that the square on BC is equal... | |
 | Madeline Agar - 1911 - 316 pàgines
...This method depends on the Euclid proposition that " the square on the sides subtending a right angle is equal to the squares on the sides containing the right angle." The measurements of 3, 4 and 5, and their multiples fulfil these conditions. 3x3 = 9. 4 x 4 = 16. 9... | |
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In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. 
