 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...angles right angles. PROPOSITION XLVII. 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 lchich contain the right angle. Let ^Z?Cbe a right-angled triangle, having the right angle BA C. Then... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...its denominator ; determine the fraction. Euclid. 1. 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. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained... | |
 | Euclides - 1862 - 172 pages
...its angles right angles. PROP. XL VII.— 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. (References— Prop. i. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Let ABC be a right-angled triangle,... | |
 | Euclides - 1862 - 140 pages
...47.— THEOREM. In any right-angled triangle, the square which is described upon the side opposite to the right angle, is equal to the squares described upon the sides which contain the right angle. (References— Prop. I. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Hypothesis. — Let ABC be a right-angled... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...equal to a given rectilineal angle. 7. In any right-angled triangle, the square which is described on the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. 8. If a straight line be bisected, and produced to any point, the rectangle contained by the whole... | |
 | Euclides - 1864 - 448 pages
...angles right angles. PROPOSITION XLVII. 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. Let ABC be a right-angled triangle, having the right angle lSA C. Then the square described upon the... | |
 | Euclides - 1865 - 402 pages
...angle, has all its angles right ani'les. Prop. 47. 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. Prop. 48. If the square described upon one of the sides of a triangle, be equal to the squares described... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...are equal to one another. Prop. 47. — Theorem. In any right angled trinngle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. EUCLID, BOOK III. Prop. 3. — Theorem. If a straight line drawn through the centre of a circle bisect... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...triangle is less than the third side. 4. Prove that 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. Exhibit to the eye the truth of this proposition in the case of a triangle whose sides are 3, 4, and... | |
 | Robert Potts - 1865 - 528 pages
...PROPOSITION XLVII. THEOREM. lfi any right-angled triangle, the square which is described upon the m'dt subtending the right angle, is equal to the squares described upon the nidus which contain- the right angle. Let ABC be a right-angled triangle, having the right anglo 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. 
