Key to System of practical mathematics. 2 pt. No.xvii |
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... Differential and Inte- gral Calculus . These illustrations are given in as concise and simple a form as possible , and it is hoped will not only appear quite intelligible to the industrious Student , but will even inspire him with an ...
... Differential and Inte- gral Calculus . These illustrations are given in as concise and simple a form as possible , and it is hoped will not only appear quite intelligible to the industrious Student , but will even inspire him with an ...
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... Differential of the area of a curve , 145 To find the Differential of the Surface of Revolution , Differential expression for a Solid of Revolution , Demonstration of Prob . VIII . Mens . of Solids , Demonstration of Probs . IX . and X ...
... Differential of the area of a curve , 145 To find the Differential of the Surface of Revolution , Differential expression for a Solid of Revolution , Demonstration of Prob . VIII . Mens . of Solids , Demonstration of Probs . IX . and X ...
Página 133
... Those who wish to study this subject more at length , will find it amply discussed in Professor Young's Elemen- tary Essay on the Computation of Logarithms . DIFFERENTIAL AND INTEGRAL CALCULUS . ( 9. ) In the KEY - SUPPLEMENT . 133.
... Those who wish to study this subject more at length , will find it amply discussed in Professor Young's Elemen- tary Essay on the Computation of Logarithms . DIFFERENTIAL AND INTEGRAL CALCULUS . ( 9. ) In the KEY - SUPPLEMENT . 133.
Página 134
Scottish school-book assoc. DIFFERENTIAL AND INTEGRAL CALCULUS . ( 9. ) In the differential calculus the question to be solved is , At what rate does a given function of a variable quantity increase or decrease , when the variable on ...
Scottish school-book assoc. DIFFERENTIAL AND INTEGRAL CALCULUS . ( 9. ) In the differential calculus the question to be solved is , At what rate does a given function of a variable quantity increase or decrease , when the variable on ...
Página 135
... differential of the variable . ( 14. ) Cor . 3. Since a , the constant multiplier of x " , appears also as a constant multiplier in the differential co- efficient , it follows that a times the differential coefficient of a quantity is ...
... differential of the variable . ( 14. ) Cor . 3. Since a , the constant multiplier of x " , appears also as a constant multiplier in the differential co- efficient , it follows that a times the differential coefficient of a quantity is ...
Términos y frases comunes
a+b+c AABC ABCD acres base binomial theorem bisected centre changing the signs chord circle circumference coefficients collecting the terms completing the square cosec denominator diameter difference distance dividing divisor equal extracting the root feet find the area find the differential fraction given equation gives greater segment half the sum height hence the area hypotenuse inches inverted latitude least common multiple Let ABC Log.cosec logarithm miles Mult Multiply number sought perp perpendicular poles Problem XI Prop question radius rectangle semiperimeter sine slant slant height solidity square root substituting Subt Subtract surf Tabular area tangent Theorem third side transp transposing transposition triangle Trig value of x wherefore whole arc whole surface yards دو
Pasajes populares
Página 74 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 75 - If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Página 9 - Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others, it will measure their sum or difference. Let a be contained...
Página 15 - ... sin(a + b + c). Again (a) represents the coarse ROM, and bands b and c are two controls of the fine-tuned ROMs so that a < 90°, b < 90 • 2~a and c < 90 • 2~(a + 6). This is shown in Fig. 7-7. Sunderland showed that the trigonometric identity can be written as sin(a + b + c) = sin(a + 6) cos c + cos a cos b sin...
Página 10 - The truth of this rule depends upon these two principles ; 1". If one quantity measure another, it will also measure any multiple of that quantity. Let x measure y by the units in n, then it will measure cy by the units in nc.
Página 139 - Arc, on the Sine and Cosine of an Arc in terms of the Arc itself, and a new Theorem for the Elliptic Quadrant.
Página 137 - The differential of the logarithm of a function is equal to the differential of the function, divided by the function itself.
Página 149 - The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC.
Página 81 - ... sum of any number of quantities is equal to the sum of the corresponding functions of each of these quantities, will be called distributive
Página 86 - We thus derive the following method for multiplying two binomials which have a common first term : The first term of the product is the square of the common first terms of the binomials.