A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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... Reduction of functional equations to equations of differences General solution of functional equations obtained from a particular solution • Differential functional equations APPENDIX 330 332 339 341 The following symbols , although not ...
... Reduction of functional equations to equations of differences General solution of functional equations obtained from a particular solution • Differential functional equations APPENDIX 330 332 339 341 The following symbols , although not ...
Σελίδα 2
... rational quantity , unless each be a complete square . The product of two quadratic surds , which cannot be reduced to others having the same irrational part , is irrational . To extract the square root of a + √b : 2 ALGEBRA .
... rational quantity , unless each be a complete square . The product of two quadratic surds , which cannot be reduced to others having the same irrational part , is irrational . To extract the square root of a + √b : 2 ALGEBRA .
Σελίδα 4
... reduce a fraction to its lowest terms : divide both the numerator and denominator by their greatest common divisor . To reduce fractions to a common denominator : multiply each numerator by all the denominators except its own , for a ...
... reduce a fraction to its lowest terms : divide both the numerator and denominator by their greatest common divisor . To reduce fractions to a common denominator : multiply each numerator by all the denominators except its own , for a ...
Σελίδα 5
... reduced to the form a1x + b1 y = c1 ; ( 1 ) a2 x + b2 y = cq · ( 2 ) These two equations may be reduced to one , containing a single unknown quantity , by either of the following methods : 1st . from ( 1 ) , x = c - by αι and ...
... reduced to the form a1x + b1 y = c1 ; ( 1 ) a2 x + b2 y = cq · ( 2 ) These two equations may be reduced to one , containing a single unknown quantity , by either of the following methods : 1st . from ( 1 ) , x = c - by αι and ...
Σελίδα 6
... reduced to the form x2 + px = q ; adding to each side the square of the coefficient of the second term , we have whence a = p2 4 x + = +9 , { −p ± ( p2 + 4q ) } } . The following are some of the principal forms of equations which may ...
... reduced to the form x2 + px = q ; adding to each side the square of the coefficient of the second term , we have whence a = p2 4 x + = +9 , { −p ± ( p2 + 4q ) } } . The following are some of the principal forms of equations which may ...
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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...