Handbook of Mathematics for Engineers |
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Handbook of Mathematics for Engineers Louis Albert Fischer,E. 1874-1952 Huntington No preview available - 2016 |
Common terms and phrases
algebra angle asymptotes axes binomial coefficients bisects C₁ called chord circle coefficients computation conjugate constant Construct corresponding cosh cosine cube roots curve cx² decimal point denoted diameter diff differential directrix distance divide draw ellipse equal formula given equation given point hyperbolic functions integral Inverse Trigonometric Functions labeling each point Lateral area length logarithms loge machine Method Moving the decimal multiply NOTE nth root parabola parallel perpendicular plane plot point of intersection Polar Equation positive principal axis radian radical axis radii radius of curvature scale sides Simultaneous Equations sin² sine sinh slide rule slope Solution spherical triangle square roots straight line subtracting tangent tanh term trigonometric functions unit v-scales Va² variable vector vertex Volume x-axis y₁ zero
Popular passages
Page 60 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 61 - Meter — the unit of length. From this the units of capacity (Liter) and of weight (Gram) were derived. All other units are the decimal subdivisions or multiples of these. These three units are simply related, eg, for all practical purposes one Cubic Decimeter equals one Liter and one Liter of water weighs one Kilogram. The metric tables are formed by combining the words "Meter...
Page 151 - Дx, the width of the interval ; then take the limit of the sum of the terms thus formed, when the number of terms increases indefinitely, while each individual term approaches zero.
Page 153 - The order of a differential equation is the order of the highest derivative which occurs.
Page 74 - The specific gravity of a solid or liquid is the ratio of the mass of the body to the mass of an equal volume of water at some standard temperature.
Page 128 - The locus of the foot of the perpendicular from the focus on a moving tangent is the tangent at the vertex (Fig.
Page 125 - HYPERBOLIC FUNCTIONS The hyperbolic sine, hyperbolic cosine, etc., of any number x, are functions of x which are closely related to the exponential e*, and which have formal properties very similar to those of the trigonometric functions, sine, cosine, etc. Their definitions and fundamental properties are as follows (see also p. 127; graphs, p. 175; table, p. 60; series, p. 161...
Page 73 - The second (central) section includes all the territory between the last-named line and an irregular line from Bismarck, N. D., to the mouth of the Rio Grande. The third (mountain) section includes all territory between the last-named line...
Page 128 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Page 132 - B, and adjust a loop of thread around them. Then remove the pin at B, and replace it by a pencil point; by moving the pencil so as to keep the string taut, the complete ellipse can be drawn at one sweep. Or, use a mechanical ellipsograph. (5) and (6). Apply methods (1) and (2) of the following paragraph to the special case in which OP and OQ are perpendicular semi-axes.