A Manual of Practical MathematicsMacmillan and Company, limited, 1908 - 594 pàgines |
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Frases i termes més freqüents
acceleration axes axis base Binomial Theorem calculated centre of area centre of gravity circle co-ordinates cone constant cosine cubic curve cylinder denote diameter differential coefficient displacement distance divided dx dx dx dy dy dx equal expression feet Find the area find the numerical Find the value formula fraction frustum function given equation height Hence horizontal inches inertia integral logarithms loge magnitude maximum value miles per hour moment of inertia multiplied numerical values obtained ordinates perpendicular plane positive preceding quantity radians radius ratio rectangle respectively result right angles roots sides Similarly simple harmonic motion Simpson's rule sine sphere squared paper Substituting this value subtract surface surface of revolution tabulated tangent Theorem vector velocity volume zero бх
Passatges populars
Pàgina 253 - But we know that a force may be represented in a purely graphical manner by a straight line in the direction of the force containing as many units of length as there are units of force in the force. The end of this line is marked with an arrow head to show in which direction the force acts. According to this method each force is drawn in its proper position in the diagram of configuration of the frame. Such a diagram might be useful as a record of the result of calculation of the magnitude...
Pàgina 526 - Moment of inertia of a body about an axis through its centre of gravity, and h = Distance between two parallel axes.
Pàgina 50 - If the given number is greater than 1, make the characteristic of its logarithm one less than the number of figures to the left of the decimal point in the number.
Pàgina 432 - Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of mass plus the product of the mass of the body and the square of the distance between the axes.
Pàgina 49 - The Logarithm of a number to a given base is the index of the power to which the base must be raised to give the number. Thus if m = a", x is called the logarithm of m to the base a.
Pàgina 51 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Pàgina 83 - ... for division amongst the holders of the rest of the stock, being a dividend at the rate of 4 per cent, per annum ; find the capital and the receipts.
Pàgina 1 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Pàgina 156 - A car weighs 10 tons, what is its mass in engineers' units? It is drawn by the pull, P Ibs., varying in the following way, t being seconds from the time of starting : — The retarding force of friction is constant, and equal to 410 Ibs. Plot...
Pàgina 517 - There is a piece of mechanism whose weight is 200 Ibs. The following values of s in feet show the distance of its centre of gravity (as measured on a skeleton drawing) from some point in its straight path at the time t seconds from some era of reckoning. Find its acceleration at the time < = 2"05, and the force in pounds which is giving this acceleration to it.