A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα xi
... Bour . L. L. C. B. Leg . G. G. A. E. M. Leg . W. L. Wood , Algebra . Euler , Algebra . Additions in the second edition of Euler's Algebra . Francœur , Cours complète de Mathematiques pures . Bourdon , Algèbre . Lacroix , Eléments d ...
... Bour . L. L. C. B. Leg . G. G. A. E. M. Leg . W. L. Wood , Algebra . Euler , Algebra . Additions in the second edition of Euler's Algebra . Francœur , Cours complète de Mathematiques pures . Bourdon , Algèbre . Lacroix , Eléments d ...
Σελίδα 3
... Bour . 118-21 . ) Method of extracting the nth root of a binomial quadratic ( W.259 . ) GREATEST COMMON DIVISOR . ( 8. ) The greatest common divisor of two quantities may be found by arranging both according to the powers of some one ...
... Bour . 118-21 . ) Method of extracting the nth root of a binomial quadratic ( W.259 . ) GREATEST COMMON DIVISOR . ( 8. ) The greatest common divisor of two quantities may be found by arranging both according to the powers of some one ...
Σελίδα 5
... Bour . 43—5 ; & c . ) ( 14. ) Simple Equations . Every simple equation containing one unknown quantity , when cleared of fractions , and surds , may be reduced to the form ax = b ; whence a - ( W. 134-42 ; E. 573-604 . ) To clear an ...
... Bour . 43—5 ; & c . ) ( 14. ) Simple Equations . Every simple equation containing one unknown quantity , when cleared of fractions , and surds , may be reduced to the form ax = b ; whence a - ( W. 134-42 ; E. 573-604 . ) To clear an ...
Σελίδα 8
... Bour . 193-8 . ) ( 19. ) Any three of the quantities a1 , a , b , n , s ; being given , the others may be found from the following formulæ : an = a1 + n − 1. b . ( a , b , n ) ; n S = { 2a , + n - 1.b } . - n αι [ n = 1 + 2 = 8 ALGEBRA ...
... Bour . 193-8 . ) ( 19. ) Any three of the quantities a1 , a , b , n , s ; being given , the others may be found from the following formulæ : an = a1 + n − 1. b . ( a , b , n ) ; n S = { 2a , + n - 1.b } . - n αι [ n = 1 + 2 = 8 ALGEBRA ...
Σελίδα 11
... the p th m e n + 1 - and qth terms , to find the 7th term . r - p q - p a , = p α p ( W. 214-22 ; E. 505-22 ; Bour . 199-208 . ) The value of a circulating decimal is a fraction whose GEOMETRICAL PROGRESSION . 11 Geometrical progression.
... the p th m e n + 1 - and qth terms , to find the 7th term . r - p q - p a , = p α p ( W. 214-22 ; E. 505-22 ; Bour . 199-208 . ) The value of a circulating decimal is a fraction whose GEOMETRICAL PROGRESSION . 11 Geometrical progression.
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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...