 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angles. PROPOSITION XL VII. THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...be a right-angled triangle having the right angle BAG ; the square described upon the side BC is equal to the squares described upon BA, AC. BAC, BAG,... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...right angles. ', PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the...sides which contain the right angle. . ( Let ABC be a right angled triangle having the right angle BAG ; the square described upon the side BC is equal to... | |
 | Edward Tagart - Logic - 1837 - 156 pages
...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 is equal to the...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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...square.) PROPOSITION XLVII. ii Theorem. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...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 to 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 BC is equal... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 136 pages
...to the (Prop. 47, 1st. Book EuclidJ. In any rightangled triangle, the square which is described upon the side subtending the right angle is equal to the...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... | |
 | Euclides - 1838 - 264 pages
...right-angled triangle, the sqnnre which is described upon the side subtending the right angle, is eqnul tu the squares described upon the sides which contain...Let ABC be a right-angled triangle having the right ungle BAC : the square described upon the side BC shall be equal to the squares described upon BA,... | |
 | Euclides - Geometry - 1841 - 378 pages
...right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...angle. Let ABC be a right-angled triangle having the BC shall be equal to the squares described upon BA, AC. On BC describe* the square BDEC, and on BA,... | |
 | 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...the right angle BAC ; the square, described upon the side BC, is equal to the squares described upon BA, AC ; that is, the square BE is equal to the two... | |
 | 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 BAC: the square described upon the side вc is equivalent to the squares described upon BA, AC. On вc describe (46. 1.) the square BDEC,... | |
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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. 
