A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα viii
... DIFFERENTIAL CALCULUS . Differentiation of algebraic functions Differentiation of exponential functions ... equation integrable 233 35 . Singular solutions . 235 PAGE 53 , 54 . ART . 36 , 37 viii CONTENTS .
... DIFFERENTIAL CALCULUS . Differentiation of algebraic functions Differentiation of exponential functions ... equation integrable 233 35 . Singular solutions . 235 PAGE 53 , 54 . ART . 36 , 37 viii CONTENTS .
Σελίδα 192
... equation to the tangent plane is Axx1 + Byy1 + C≈≈1 + D = 0 ; and the equations to the normal are Ꭺ Ꮖ . x - x1 = = ( x - x1 ) , C % 1 By1 y - y1 = ( x − x1 ) . C % 1 If the equation ... DIFFERENTIAL CALCULUS . ( 1. ) Differentiation of ...
... equation to the tangent plane is Axx1 + Byy1 + C≈≈1 + D = 0 ; and the equations to the normal are Ꭺ Ꮖ . x - x1 = = ( x - x1 ) , C % 1 By1 y - y1 = ( x − x1 ) . C % 1 If the equation ... DIFFERENTIAL CALCULUS . ( 1. ) Differentiation of ...
Σελίδα 200
... differentiation of any given equation , two or more arbitrary functions may be ( L. C. D. 77—9 . ) eliminated . PARTICULAR VALUES OF THE VARIABLE . ( 14. ) Let u = 0 , when x = a , then u must be of the form - v ( x − a ) m , v being a ...
... differentiation of any given equation , two or more arbitrary functions may be ( L. C. D. 77—9 . ) eliminated . PARTICULAR VALUES OF THE VARIABLE . ( 14. ) Let u = 0 , when x = a , then u must be of the form - v ( x − a ) m , v being a ...
Σελίδα 202
... equation cleared of irrational quan- tities in which y is an implicit function of x , then ( Art . 11. ) M + Nd , y ... differential coefficient has more than one value , then that coefficient obtained from the differential equation of ...
... equation cleared of irrational quan- tities in which y is an implicit function of x , then ( Art . 11. ) M + Nd , y ... differential coefficient has more than one value , then that coefficient obtained from the differential equation of ...
Σελίδα 203
... differential coefficient that does vanish with any given value of x is of an even order , Let the value of a which ... equation of the same dimensions , which has no possible root . ( Garnier , Diff . Calc . Ch . xxv . ) INTEGRAL ...
... differential coefficient that does vanish with any given value of x is of an even order , Let the value of a which ... equation of the same dimensions , which has no possible root . ( Garnier , Diff . Calc . Ch . xxv . ) INTEGRAL ...
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Άλλες εκδόσεις - Προβολή όλων
A Synopsis of the Principal Formulae and Results of Pure Mathematics ... Charles Brooke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Synopsis of the Principal Formulae and Results of Pure Mathematics Charles Brooke Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a-log a.sin a₁ a² a² angle arcs Assume ax² axis ay² B.cos B.sin b₁ Biot Bour c₁ centre circle co-ordinates conjugate diameters const continued fraction converging fraction cosec cosine curve cx² determined differential coefficients e₁ ellipse formula functions G. G. A. Ch given equation hyperbola integral intersection Let the equation log Cot log Sin log Sin Blog logarithmic m₁ method modulus negative obtained parabola perpendicular plane possible root prime number primitive equation quadratic divisor quadratic equation quotients R₁ radius reduced remainders sin x sine solution square straight line substituting subtangent Suppose surface tana tangent ternary divisor ternary form theorem triangle u₁ unknown quantities values vers x₁ y-y₁ y₁ απ
Δημοφιλή αποσπάσματα
Σελίδα 112 - THEOREM. Every section of a sphere, made by a plane, is a circle.
Σελίδα 4 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 4 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 347 - Si, the formula assigned by Thomson to the mineral from Ireland, named " Anhydrous silicate of iron." Now, this slag had evidently been in a position favourable to the absorption of oxygen, namely, the...
Σελίδα 4 - To reduce a fraction to its lowest terms, divide both the numerator and denominator by their greatest common divisor.
Σελίδα 4 - The same quantity may be added to, or subtracted from, both sides of an equation. To...
Σελίδα 343 - The immutability, no less than the symmetry of its notation, (which should ever be guarded with a jealousy commensurate to its vital importance,) facilitates the translation of an expression into common language at any stage of an operation, - disburdens the memory of all the load of the previous steps, - and at the same time, affords it a considerable assistance in retaining the results.
Σελίδα 46 - These criteria were derived by a new transformation, namely the one which yields an equation whose roots are the squares of the differences of the roots of the given...
Σελίδα 161 - Straight line and circle. A straight line cannot cut a circle in more than two points. In fact, an unlimited straight line may (i) cut a circle in two points, eg AB or CD in fig.
Σελίδα 2 - Tiie square root of a quantity cannot be partly rational and partly a quadratic surd. If possible, let...