 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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
...determine the fraction. Euclid. 1. 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. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained... | |
 | War office - 1861 - 714 pages
...but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. VOLUNTARY PORTION. 1. Describe an isosceles triangle having... | |
 | Euclides - 1862 - 172 pages
...angles. PROP. XL VII.— 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. (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
...line equal to a given straight line. 8. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 9. If a straight line be divided into any two parts, the... | |
 | Robert Potts - 1863 - 482 pages
...intersection of its diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter, and... | |
 | Euclides - 1864 - 448 pages
...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...be a right-angled triangle, having the right angle lSA C. Then the square described upon the side BC, shall be equal to the squares described upon BA,... | |
 | Edinburgh univ - 1868 - 336 pages
...the major axis. 24^/4 March 1868. 1. 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 containing the right angle. 2. The sum of the squares of the diameters of any parallelogram is equal... | |
 | 1868 - 876 pages
...parallels, are equal to one another 15 3. In any right -angled triangle, the square \rhieh is described upon the side subtending the right angle is equal to the squares described upon the wdes which contain the right angle 20 4. If ii straight line IK- bisected and produced to any point,... | |
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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. 
