 | John Playfair - Geometry - 1836 - 148 pages
...upon the sides AB, AC. Therefore, 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. Which was to be proved. PROP. XVIIL THEOR. If the square... | |
 | 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 squares described upon the sides which contain the right angle. In the construction of the figure it is necessary to... | |
 | 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... | |
 | 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 squares described upon the sides which contain the right angle, my first answer might be, that I knew it by studying... | |
 | 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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the right angle... | |
 | Euclides - 1838 - 264 pages
...which is described upon the side subtending the right angle, is eqnul tu the squares described upon the sides which contain the right angle. 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,... | |
 | 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 squares described upon the sides which contain the right angle, or, in other words, in all right angled plain triangles,... | |
 | 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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle having the BC shall... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...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...having 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... | |
 | Euclides - 1842 - 316 pages
...__ 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...triangle having 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... | |
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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. 
