 | Euclides - 1814 - 560 páginas
...Hence every parallelogram that has one right angle has all its ungles right angles. PROP. XLV11. THEOR. IN any right-angled triangle, the square which is...angle, is equal to the squares described upon the sides . winch contain the right angle. Let ABC be a right-angled triangle having the right angle BAC; the... | |
 | Thomas Smith Webb - 1818 - 336 páginas
...him ; the next day comes a frost, which * THEOREM.] In any right-angled triangle, the square which ii described upon the side subtending the right angle, is equal to the •quares described upon the (ides which contain the right angle. Euclid, lit. i. prop. 47. nips the... | |
 | 1821 - 780 páginas
...brother, the great philosopher Pylhagoras, had demonstrated the problem that " in any right angled triangle, the square which is described upon the side subtending the right angle, was equal to the squares described upon the sides which contain the right angle," he with excessive... | |
 | Euclides - 1826 - 226 páginas
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle... | |
 | Euclid - 1826 - 234 páginas
...having one right angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle... | |
 | Euclid, John Playfair - 1826 - 326 páginas
...angles right angles. .f PROP. XLVII. THEOR, In any right angled triangle, the square whieh is deseribed upon the side subtending the right angle, is equal to the squares deseribed upon the sides whieh eontain the right angle. Let ABC he a right angled triangle having the... | |
 | 1827 - 72 páginas
...perverting or destroying those systems. By the influence of this art, the purposes of the in* THEOREM.) In any right-angled triangle, the square which is described upon the side subtending the right-angle, is equal to the squares described upon the sides which contain the right angle. Euclid,... | |
 | William Preston - 1829 - 488 páginas
...pains he took to propagate his system, have justly transmitted his fame to posterity .f - * THEOREM.] In any right-angled triangle, the square which is...upon the side subtending the right angle, is equal io the squares described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. The... | |
 | University of Cambridge - 1830 - 554 páginas
...Corpus. FRIDAY MORNING, Jamutry 15, 1830. 9 o'clock, to 11. First, Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is...the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 2. The sides about the equal... | |
 | 1833 - 412 páginas
...straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle contained... | |
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In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 
