 | Euclides - Euclid's Elements - 1837 - 112 pages
...rectangular (and :. a square.) PROPOSITION XLVII. ii Theorem. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. In the construction of the figure it is necessary to show that GA is on the same right line with AC... | |
 | Edward Tagart - Logic - 1837 - 156 pages
...were to enclose a space. If I were asked how I know that in any rightangled triangle the square which is described upon the side subtending the right angle...described upon the sides which contain the right angle, my first answer might be, that I knew it by studying the 47th of the first book of Euclid. But the... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...I. THEOR. IN any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC; the square described upon the hypotenuse... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 154 pages
...found according to the (Prop. 47, 1st. Book Euclid}- In any rightangled triangle, the square which is described upon the side subtending the right angle...described upon the sides which contain the right angle, or, in other words, in all right angled plain triangles, the sum of the squares of the two short sides... | |
 | Euclid - Geometry - 1838 - 470 pages
...parallelogram that has one right angle, has all its angles right angles. THE ELEMENTS OF EUCLID. G upon the side subtending the right angle, is equal...described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...angles right angles. PROP. XLVII. THEOR. IN any right angled triangle, the square which is described ' G upon the side subtending the right angle, is equal...described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side... | |
 | Euclides - Geometry - 1841 - 378 pages
...has all its angles right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the BC shall be equal to the squares described upon BA, AC.... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...has all its angles right angles. PROP. XLVII. THEOR. ' In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...demonstration, to Euclid himself. In any right-angled triangle, the square which is described upon the sides subtending the right angle, is equal to the squares...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the square, described upon the side... | |
 | Euclides - 1842 - 316 pages
...right-angled triangle, the square which __ described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAC: the square described upon the side вc... | |
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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. 
