A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 1
... positive , and unlike , a negative result . ( 4. ) an = a.a.a ...... to n 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 ...
... positive , and unlike , a negative result . ( 4. ) an = a.a.a ...... to n 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 ...
Σελίδα 14
... positive integer , then the number of terms n + 1 ; an - mbm the coefficients of terms equally distant from both extremi- ties of the series are equal ; the coefficient of every term is an integer ; n 1 + 1 1 n + + n ( n - 1 ) 1 2 • n ...
... positive integer , then the number of terms n + 1 ; an - mbm the coefficients of terms equally distant from both extremi- ties of the series are equal ; the coefficient of every term is an integer ; n 1 + 1 1 n + + n ( n - 1 ) 1 2 • n ...
Σελίδα 17
... positive integer ; and the partial divisor for a value 0 being 1 . ( 27. ) ( a + a1x + α2x2 + α ̧x3 + & c . ) ” n = an + an -1 n ( n - 1 ) 1. 2 20 an - 2a n + n - 1 1 n ( n - 1 ) ( n - 2 ) + an - 3a3 n ( n − 1 ) ( n - 2 ) ( n − 3 ) + ...
... positive integer ; and the partial divisor for a value 0 being 1 . ( 27. ) ( a + a1x + α2x2 + α ̧x3 + & c . ) ” n = an + an -1 n ( n - 1 ) 1. 2 20 an - 2a n + n - 1 1 n ( n - 1 ) ( n - 2 ) + an - 3a3 n ( n − 1 ) ( n - 2 ) ( n − 3 ) + ...
Σελίδα 21
... positive integer ; if an expansion be required for any value of n , we must expand in a similar manner m S1n . @m . an = S , n . an - r . m - r ጥ INDETERMINATE COEFFICIENTS . ( 28. ) If a + a ̧x POLYNOMIAL THEOREM . 21.
... positive integer ; if an expansion be required for any value of n , we must expand in a similar manner m S1n . @m . an = S , n . an - r . m - r ጥ INDETERMINATE COEFFICIENTS . ( 28. ) If a + a ̧x POLYNOMIAL THEOREM . 21.
Σελίδα 37
... positive ; if the coefficients are all positive , the roots are all negative . If the signs of all the terms are changed , the roots are not changed . If the signs of the alternate terms beginning with the second are changed , the signs ...
... positive ; if the coefficients are all positive , the roots are all negative . If the signs of all the terms are changed , the roots are not changed . If the signs of the alternate terms beginning with the second are changed , the signs ...
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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...