 | Great Britain. Parliament. House of Commons - 1866 - 862 páginas
...figure a I cd will be a parallelogram. 6. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the...described upon the sides which contain the right angle. If one of the acute angles of a right angled triangle be double the other, the square on the greater side... | |
 | William Preston - 1867 - 412 páginas
...mystic forms, and solemn rites, they have 23 THEOREM.] In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Euclid, lib. i., prop. 47. M For a more particular account of the system of Pythagoras, I may refer... | |
 | 1868 - 344 páginas
...triangle, and have for one of its sides a side of the triangle. 2. In uny right angled triangle, Ihe square described upon the side subtending the right...described upon the sides which contain the right angle. ABCD, BE F (j, are two squares upon the same, sides ol the straight line ABE, aud on opposite sides... | |
 | Ellis A. Davidson - 1869 - 140 páginas
...Now, according to Euclid (Book I., prop, xlvii.), " In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle." And it will be seen that ABE is a right-angled triangle, and that the squares ABCD and BEFG LINEAR... | |
 | 1868 - 876 páginas
...the same parallels, are equal to one another 15 3. In any right-angled triangle, the square winch is described upon the side subtending the right angle...described upon the sides which contain the right angle 20 4. If a straight line be bisected and produced to any point, the rectangle contained by the whole... | |
 | Edinburgh univ - 1868 - 336 páginas
...right angles to 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... | |
 | 1877 - 604 páginas
...than half the perimeter of the quadrilateral. 2. In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Algebra. 1. Find the GCM of 9 ax* y* and 15 a2 xz ; also of 3 .v! - 20 x1 + 15 x + a, and x1 - 4* +... | |
 | Euclides - 1874 - 342 páginas
...angles right angles. PROPOSITION 47. — Theorem. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC. Then the square described upon the... | |
 | Education Department,London - 1876 - 1010 páginas
...triangle will be formed by those lines produced. 2. In any right angled triangle, the square which is described upon the side subtending the right angle...described upon the sides which contain the right angle. If the angles of a triangle are in the ratio 1 : 2 : 3 ; the square on one of the aides is equal to three... | |
 | Robert Potts - 1876 - 446 páginas
...the shortest distance between two given points. 4. In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon the sides which contain the right angle. Any two paraDelograms being described on two sides of any triangle, to deseribe on the third Bide a... | |
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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. 
