A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα iii
... given will probably be found sufficiently minute to enable the reader to find without difficulty any demonstration he may require ; had the proof of each result been separately quoted , the size of the work must unavoidably have been ...
... given will probably be found sufficiently minute to enable the reader to find without difficulty any demonstration he may require ; had the proof of each result been separately quoted , the size of the work must unavoidably have been ...
Σελίδα 3
... 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 divisor . To find the least common ...
... 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 divisor . To find the least common ...
Σελίδα 8
... Given the pth and qth terms , to find the 7th term . r - p = + ( aq- ap . ) q - p ( W. 212 ; E. 402-24 ; Bour . 193-8 . ) ( 19. ) Any three of the quantities a1 , a , b , n , s ; being given , the others may be found from the following ...
... Given the pth and qth terms , to find the 7th term . r - p = + ( aq- ap . ) q - p ( W. 212 ; E. 402-24 ; Bour . 193-8 . ) ( 19. ) Any three of the quantities a1 , a , b , n , s ; being given , the others may be found from the following ...
Σελίδα 10
... Given the pth and qth terms , to find the 7th term . - α , = ( q − p ) α p · аq ( rp ) a , - ( r - q ) Aq ( W. 381. ) FIGURATE , AND POLYGONAL NUMBERS . ( 21. ) The nth term of the mth order of figurate numbers the sum of n terms of ...
... Given the pth and qth terms , to find the 7th term . - α , = ( q − p ) α p · аq ( rp ) a , - ( r - q ) Aq ( W. 381. ) FIGURATE , AND POLYGONAL NUMBERS . ( 21. ) The nth term of the mth order of figurate numbers the sum of n terms of ...
Σελίδα 11
... Given 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 ...
... Given 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 ...
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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...