 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angles right 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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle BAG... | |
 | Edward Tagart - Logic - 1837 - 156 pages
...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 is equal to the squares described upon the sides which contain the right angle, my first answer might be, that I knew it by studying the 47th... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...(and :. a 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 squares described upon the sides which contain the right angle. In the construction of the figure it is necessary to show that... | |
 | 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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC;... | |
 | Thomas Oswald Blackett - Leveling - 1838 - 136 pages
...found according 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 squares described upon the sides which contain the right angle, or, in other words, in all right angled plain triangles, the sum... | |
 | 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 to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC... | |
 | 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 to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC... | |
 | Euclides - Geometry - 1841 - 378 pages
...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, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the BC shall be equal... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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, 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... | |
 | 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... | |
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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. 
