A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα vi
... Values of sin a , cos a , and tan a 101 102 -10 . Formulæ relating to two arcs . 104 11 . Formulæ relating to double arcs 105 12 . 13 . Values of the sine , cosine , & c . of 30 ° , 45 ° , and 60 ° . 106 Formulæ relating to three arcs ...
... Values of sin a , cos a , and tan a 101 102 -10 . Formulæ relating to two arcs . 104 11 . Formulæ relating to double arcs 105 12 . 13 . Values of the sine , cosine , & c . of 30 ° , 45 ° , and 60 ° . 106 Formulæ relating to three arcs ...
Σελίδα viii
... values of the variable • 193 194 ib . . 196 197 199 ib . . 200 • ib . • 203 1 . 2 . Fundamental formulæ Inverse circular functions . 204 ib . · 3 . Logarithmic integrals • • 205 4 , 5 . Decomposition of rational fractions ib . · . 6 ...
... values of the variable • 193 194 ib . . 196 197 199 ib . . 200 • ib . • 203 1 . 2 . Fundamental formulæ Inverse circular functions . 204 ib . · 3 . Logarithmic integrals • • 205 4 , 5 . Decomposition of rational fractions ib . · . 6 ...
Σελίδα 17
... values of 1 , T , & c . being either 0 , or a 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 ) + ...
... values of 1 , T , & c . being either 0 , or a 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 ) + ...
Σελίδα 33
... value of the other root of ( 1 ) , viz . 1 2a - ( − b — b2 -4ac3 ) . -- The values of e1 , e , & c . are the same in this case , but they occur in an inverted order . ( G. A. 23 ; Lagr . Equ . Num . Ch . 6. Art . 2 ; Legendre , Theor ...
... value of the other root of ( 1 ) , viz . 1 2a - ( − b — b2 -4ac3 ) . -- The values of e1 , e , & c . are the same in this case , but they occur in an inverted order . ( G. A. 23 ; Lagr . Equ . Num . Ch . 6. Art . 2 ; Legendre , Theor ...
Σελίδα 34
Charles Brooke. ( 31. ) To find the value of c : the equation ( 1 ) and the above formulæ become respectively x2 - c = 0 ... values of c from 1 to 100 will be found in the annexed table . ✓ce , 02 03 & c . ( a , a , a , & c . ex √211 21 ...
Charles Brooke. ( 31. ) To find the value of c : the equation ( 1 ) and the above formulæ become respectively x2 - c = 0 ... values of c from 1 to 100 will be found in the annexed table . ✓ce , 02 03 & c . ( a , a , a , & c . ex √211 21 ...
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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...