 | Eucleides - 1860 - 396 pages
...ratio in C (c). 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 - 288 pages
...medial section (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... | |
 | John Playfair - Geometry - 1860 - 334 pages
...and mean ratio in C (def. 3. G.). 146 PROP. XXXI.-THEOR. /» r(g& angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to ike similar, and similarly described Jlgures upon the sides containing the right angle. Draw the perpendicular... | |
 | Euclides - 1861 - 464 pages
...6 = 10 the third side. PROP. 31. — THEOR. (Important.) In right angled triangles, the rectilineal figure described upon the side opposite to the right...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 - 714 pages
...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 - 260 pages
...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 - 140 pages
...angles 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 - 448 pages
...ratio in C. (vI. 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,... | |
 | Robert Potts - 1865 - 528 pages
...PROPOSITION XXXI. THEOREM. ln r ir/ht -angled triangles, the rectilineal figure described upon the xt'de opposite to the right angle, is equal to the similar...figures upon the sides containing the right angle. Lot ABC'ho a right-angled triangle, having the right angle HA C. The rectilineal figure described upon... | |
 | Euclides - 1865 - 402 pages
...right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, u equal to the similar and similarly described figures upon the sides containing the right angle. (References— Prop. L 12,24; vA,B,24; vi. 4, 8, 20, cor. 2.) Let ABC be a right-angled triangle, having... | |
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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... 
