A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα v
... 43 44 • 47 · 48 41 . Commensurable roots 50 42 . Incommensurable roots 51 • 43 . Quadratic factors " 53 44 . Impossible roots ib . 45 . Application of the theory of equations to surds . 54 The equation y " + p = 0 General solution.
... 43 44 • 47 · 48 41 . Commensurable roots 50 42 . Incommensurable roots 51 • 43 . Quadratic factors " 53 44 . Impossible roots ib . 45 . Application of the theory of equations to surds . 54 The equation y " + p = 0 General solution.
Σελίδα vii
... factors . 140 Approximate solution of triangles Solution of triangles by series Formulæ peculiar to geodetic operations Formulæ for the construction of tables Formulæ for the verification of tables Trigonometrical solution of equations ...
... factors . 140 Approximate solution of triangles Solution of triangles by series Formulæ peculiar to geodetic operations Formulæ for the construction of tables Formulæ for the verification of tables Trigonometrical solution of equations ...
Σελίδα viii
... Differential equations of the first order , and of one • 231 33-34 . The introduction of a factor which renders a differential equation integrable 233 35 . Singular solutions . 235 PAGE 53 , 54 . ART . 36 , 37 viii CONTENTS .
... Differential equations of the first order , and of one • 231 33-34 . The introduction of a factor which renders a differential equation integrable 233 35 . Singular solutions . 235 PAGE 53 , 54 . ART . 36 , 37 viii CONTENTS .
Σελίδα 1
... factors . am × an = am + n . ( 1 ) ( am ) n = amn . If n is not a positive integer , the signification of a " is conventional , being merely such as to satisfy equation ( 1 ) . - n = aman . am a = n a M - m = 1 . 1 = & = A a2 = √ a TM ...
... factors . am × an = am + n . ( 1 ) ( am ) n = amn . If n is not a positive integer , the signification of a " is conventional , being merely such as to satisfy equation ( 1 ) . - n = aman . am a = n a M - m = 1 . 1 = & = A a2 = √ a TM ...
Σελίδα 3
... factor not contained in both the given quantities , that factor may be rejected . ( Bour . 34—41 , 258-74 ; W.90 ; E. 451-60 . ) ( 9. ) The least common multiple of two quantities is their pro- duct divided by their greatest common ...
... factor not contained in both the given quantities , that factor may be rejected . ( Bour . 34—41 , 258-74 ; W.90 ; E. 451-60 . ) ( 9. ) The least common multiple of two quantities is their pro- duct divided by their greatest common ...
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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...