| Euclides - 1865
...its angles right ani'les. Prop. 47. 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. Prop. 48. If the square described upon one of the sides... | |
| J. F. H. de Rheims - 1865 - 169 sider
...one another. Prop. 47. — Theorem. In any right angled trinngle, 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. EUCLID, BOOK III. Prop. 3. — Theorem. If a straight... | |
| William Martin - 1866
...shown in the problems below. In any right-angled triangle, the square described on the side opposite **the right angle is equal to the squares described on the sides** containing the right angle, taken together. Let ABC be a triangle, whose angle ABC is a right one,... | |
| 1867
...together equal to two right angles. 7. In any right-angled triangle, the square which is described on **the side subtending the right angle is equal to the...described on the sides which contain the right angle.** [Turn over. 8. Divide a given straight line into two parts, so that the rectangle contained by the... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...right angles. PEOPOSITION 47. THEOREM. 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** H Let ABC be a right-angled triangle, having the right angle BA C : the square described on the side... | |
| Edinburgh univ - 1868
...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... | |
| James Maurice Wilson - 1868
...In any right-angled triangle the square on the hypothenuse is equivalent to the sum of the squares **on the sides which contain the right angle. Let ABC be a** triangle right-angled at B. Then will AC* = AB* + BC\ On AB, BC, CA describe the squares ADEB, BFGC,... | |
| Anthony Nesbit - 1870
...the triangle ABC is equal to the triangle DEC (Euc. i. 37 ; Simp. ii. 2 ; Em. ii. 10). THEOREM VII. **Let ABC be a right.angled triangle, having the right angle BAC ; the square** of the side BC is equal to the sum of the squares of the sides AB and AC (Euc. L 47; Simp. ii. 8; Em.... | |
| Elias Loomis - 1871 - 58 sider
...square described on the ny^ fcthenuse is equivalent to the sum of the squares on the othet tws sides. **Let ABC be a right-angled triangle, having the right angle BAC ; the square described** upon the side BC is equivalent to the sum of the squares upon BA, AC. On BC describe ihs square BCED,... | |
| 1877
...perimeter of the quadrilateral. 2. 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. Algebra. 1. Find the GCM of 9 ax* y* and 15 a2 xz ; also... | |
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