 | Queensland. Department of Public Instruction - 1866 - 336 sider
...than the third side. 4. Prove that 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. Exhibit to the eye the truth of this proposition in the... | |
 | Euclides - 1865 - 402 sider
...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 - 336 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 - 426 sider
...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 - 224 sider
...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 - 426 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 - 336 sider
...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 - 132 sider
...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 - 578 sider
...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 - 302 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,... | |
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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. 
