Lessons in Elementary Practical Physics: Vol. 1 [Vol. 2 and Vol. 3, part 1].Macmillan, 1885 |
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Popular passages
Page 166 - From which it is seen that the torsional couple is directly proportional to the fourth power of the radius, and inversely proportional to the length of the cylinder, a result we have previously shown to be true from first principles.
Page 275 - ... c, where m is the tangent of the angle the line makes with the axis of x, and c is the ordinate at the origin. If the line cannot be regarded as straight, and cannot be connected with any known equation, the determination will present difficulties that cannot be entered into here. 1 A proof of this formula will be found in Galbraith and Haughton's Manual of Algebra. Temperature cent. Pressure in millimetres. A'. A".
Page 43 - Another method of expressing angles is in circular measure. Here the unit is the angle subtended by an arc of a circle equal in length to its radius. Such an angle is sometimes called a radian. According to this method the circular measure of 180° is <ir, so that in order to convert an angle of n° into circular measure we should multiply n by T and divide by 180.
Page xviii - The yard 1 is defined by Act of Parliament to be the straight line or distance between the centres of two gold plugs in a bronze bar deposited in the office of the Exchequer, the temperature of the bar being 62° Fahr. When it is convenient to use smaller units of length, the foot, or -J- of a yard, and the inch, or y1^ of a foot, are employed.
Page 207 - Mercurial thermometers are liable, through age, to read too high ; this instrument ought, therefore, at some future date, to be again tested at the melting point of ice, and if its reading at that point be found different from the...
Page 240 - ... |MV2, where M is the mass and V the velocity of the body. In making use of this expression to find the energy of a rotating body we perceive that we must consider the velocities and masses of the individual particles of which it is composed. Calling...
Page 270 - S3 represent small differences due to unavoidable errors of observation. Now, by the principles of the theory of probabilities, it can be shown that the most probable values of the unknown quantities are those which make the sum of the squares of the errors a minimum, and hence the method of deducing these values T may be appropriately termed the method of least squares.
Page 139 - When it is immersed in a liquid the weight of the liquid displaced is equal to the weight of the salinometer.
Page 27 - CROSS-THREADS. angles to each other. The cross-wires are fixed on a disc of metal somewhat smaller than the telescope -tube. It is held in position by four small screws, which permit the exact adjustment of the intersection of the cross-wires to the axis of the telescope (see Fig. 13«). The instrument ought to stand on a block of stone firmly fixed to the earth and free from the disturbing effect of vibrations. Method. — It...
Page 94 - У2, &C., у„, represent the system of parallel ordinates, the area of the polygon, since it consists of a number of trapeziums of equal breadth, is plainly represented by Hence the rule ; add together the halves of the extreme ordinates, and the whole of the intermediate ordinates, and multiply the result by the common interval. When a nearer approximation is required, the method next in simplicity supposes the curve to consist of a number of parabolic arcs; each parabola having its axis parallel...