 | Euclides - 1858
...Prop. 31, bk. vi., where it is proved "that in right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly-described figures upon the sides containing the right angle ;" and to the making of a circle... | |
 | Sandhurst roy. military coll - 1859 - 1869 pągines
...of a bricklayer. Voluntary Portion. 1. In right-angled triangles the rectilineal figure described on the side opposite to the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 2. Bisect a given triangle by a straight line parallel to... | |
 | Robert Potts - 1860 - 361 pągines
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...the similar and similarly described figures upon the tides containing the right angle. Let ASC be a right-angled triangle, having the right angle BAC. The... | |
 | Eucleides - 1860
...PROPOSITION XXXI. THEOREM. — If a triangle (ABC) be right-angled, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly-described figures upon the sides containing the right angle. DEMONSTRATION. Draw the perpendicular... | |
 | Euclides - 1860
...(II. Def. 6). PROPOSITION XXXI. THEOBEM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle is equal to the sum of the similar and similarly described figures upon the sides containing the right angle. Given... | |
 | Euclides - 1861
...side. PROP. 31. — THEOR. (Important.) In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. CON. 12, I. To draw a st. line J_ a given st. line from a given . without it. DEM. 8, VI. 4, VI. Cor.... | |
 | War office - 1861 - 12 pągines
...root of 9042049. Voluntary Portion: 2. In right-angled triangles the rectilineal figure described on the side opposite to the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 3. Employ logarithms (1) to multiply ^OS6 by 39'86427. (2)... | |
 | War office - 1861
...circle are equal to one another. 4. In a right-angled triangle, the rectilineal figure described on the side opposite to the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 6. The base of a pyramid is a square, each side of which is... | |
 | Euclides - 1862
...right angles. PROPOSITION 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,... | |
 | Euclides - 1864
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarlg described figures upon the sides containing the right angle. Let ABC\ie a right-angled triangle,... | |
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In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. 
