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 56.
Σελίδα 30
... respectively , - p ૧ a > B m If A2m + 2 B2m A2m B2m + 2 A2m , B2m A2 m + A2m + 1 B2m - + B2m + i 2 Aqm + ( n − 1 ) Bq m + 1 2 B2m + ( n − 1 ) B2 m +1 2 " a b = n , m > then A2m + 2A2m + 1 , & c . B2m + 2 B2m + 1 Acm +2 2 > 1 B2 m + 2 ...
... respectively , - p ૧ a > B m If A2m + 2 B2m A2m B2m + 2 A2m , B2m A2 m + A2m + 1 B2m - + B2m + i 2 Aqm + ( n − 1 ) Bq m + 1 2 B2m + ( n − 1 ) B2 m +1 2 " a b = n , m > then A2m + 2A2m + 1 , & c . B2m + 2 B2m + 1 Acm +2 2 > 1 B2 m + 2 ...
Σελίδα 34
... respectively x2 - c = 0 , c = b2 | √c + b1 - b1 = 1.e - 0 a1 > e , and < e , + 1 ; 1 a1 c - b2 Vc + b2 = - • and < e2 + 1 ; a1 a2 c - b3 v / c + b3 > e , and < e , + 1 . a 2 a 3 & c . b1 = a . e2 - b2 a3 = & c . and v / c = e + & c .
... respectively x2 - c = 0 , c = b2 | √c + b1 - b1 = 1.e - 0 a1 > e , and < e , + 1 ; 1 a1 c - b2 Vc + b2 = - • and < e2 + 1 ; a1 a2 c - b3 v / c + b3 > e , and < e , + 1 . a 2 a 3 & c . b1 = a . e2 - b2 a3 = & c . and v / c = e + & c .
Σελίδα 39
... respectively divided by 1 , m , m3 , & c . the roots will all be divided by m . & To transform the equation ( x ) = 0 into one whose roots 1 are the reciprocals of the roots of the former : assume x = - y 9 we obtain a1 yn + -1 yn - 1 + ...
... respectively divided by 1 , m , m3 , & c . the roots will all be divided by m . & To transform the equation ( x ) = 0 into one whose roots 1 are the reciprocals of the roots of the former : assume x = - y 9 we obtain a1 yn + -1 yn - 1 + ...
Σελίδα 43
... respectively , we may , by substituting the values of " +1 , +2 , & c . determined by this method , obtain an equation of n - 1 dimensions , and from this last and the former , one of n - 2 dimensions by the same method , and so on ; we ...
... respectively , we may , by substituting the values of " +1 , +2 , & c . determined by this method , obtain an equation of n - 1 dimensions , and from this last and the former , one of n - 2 dimensions by the same method , and so on ; we ...
Σελίδα 45
... respectively . th m th Sr + r2 + T ( a , " 1 . α ̧ ” 1 ) ; ST .. ST2 = r1tr2 2 +13 §‚ ̧ · T ( a ̧11.a‚11 ) = T ′ ( a ̧'s + TM 3‚ã‚12 ) + T ′ ( a ̧11‚æ TM 3 + TM 3 ) • + T ( a11.α.ɑ ̧a3 ) ; = + T ( a " 1.a.a ̧ TM 3 + 4 ) + ...
... respectively . th m th Sr + r2 + T ( a , " 1 . α ̧ ” 1 ) ; ST .. ST2 = r1tr2 2 +13 §‚ ̧ · T ( a ̧11.a‚11 ) = T ′ ( a ̧'s + TM 3‚ã‚12 ) + T ′ ( a ̧11‚æ TM 3 + TM 3 ) • + T ( a11.α.ɑ ̧a3 ) ; = + T ( a " 1.a.a ̧ TM 3 + 4 ) + ...
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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...