A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα iv
... expressed by those symbols , that have been in- troduced in the notes . The great difficulty of printing mathematical works correctly , may be fairly estimated by the number of errors that occur in the works of the ablest writers on the ...
... expressed by those symbols , that have been in- troduced in the notes . The great difficulty of printing mathematical works correctly , may be fairly estimated by the number of errors that occur in the works of the ablest writers on the ...
Σελίδα 2
... expressed by an integer , nor by a rational fraction . Neither the sum nor difference of the square roots of two quantities prime to each other can be represented by any rational quantity , nor by the square root of any rational ...
... expressed by an integer , nor by a rational fraction . Neither the sum nor difference of the square roots of two quantities prime to each other can be represented by any rational quantity , nor by the square root of any rational ...
Σελίδα 14
... an n ― m + 1fm −1 . m -1 - The product of n simple factors , on which the binomial theorem depends , may be thus expressed : n 2 + 1 P1 ( x + a , ) = $ mx2 - m + 1 ′ m - 1 , n C , ( a , ) . an - 2b2 + + & c . B 1.2.3 14 ALGEBRA .
... an n ― m + 1fm −1 . m -1 - The product of n simple factors , on which the binomial theorem depends , may be thus expressed : n 2 + 1 P1 ( x + a , ) = $ mx2 - m + 1 ′ m - 1 , n C , ( a , ) . an - 2b2 + + & c . B 1.2.3 14 ALGEBRA .
Σελίδα 28
... ( Cagnoli , Trig . ) CONTINUED FRACTIONS . ( 30. ) The general form of a continued fraction is ร 1 ४ C2 + 1 C3 + & c . 2m - 1 Sm = 23-2-1 ( 2-3 ) m which may for convenience be thus expressed : α b 28 ALGEBRA . Continued fractions.
... ( Cagnoli , Trig . ) CONTINUED FRACTIONS . ( 30. ) The general form of a continued fraction is ร 1 ४ C2 + 1 C3 + & c . 2m - 1 Sm = 23-2-1 ( 2-3 ) m which may for convenience be thus expressed : α b 28 ALGEBRA . Continued fractions.
Σελίδα 29
Charles Brooke. which may for convenience be thus expressed : α b = 1 1 1 C1 + C2 + C3 + + - 1 1 -1 -1 = { { ... { 0 } ~ ' + 0 - 1 } ~ ' + ··· + c ; } ~ ' + c ; } ~ ' , = { { 1 2 n n by inverting the order of the terms . n - 1 1 ...
Charles Brooke. which may for convenience be thus expressed : α b = 1 1 1 C1 + C2 + C3 + + - 1 1 -1 -1 = { { ... { 0 } ~ ' + 0 - 1 } ~ ' + ··· + c ; } ~ ' + c ; } ~ ' , = { { 1 2 n n by inverting the order of the terms . n - 1 1 ...
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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...