A Synopsis of the Principal Formulae and Results of Pure MathematicsJ. & J.J. Deighton, 1829 - 358 σελίδες |
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Σελίδα 3
... divided by their greatest common divisor . To find the least common multiple of n quantities : find the least common multiple of the first and second ; then of the quantity thus obtained and the third , and so will be the least common ...
... divided by their greatest common divisor . To find the least common multiple of n quantities : find the least common multiple of the first and second ; then of the quantity thus obtained and the third , and so will be the least common ...
Σελίδα 4
... divided by the corresponding denominator , for a new numerator . ( Bonnycastle , Arith . ) EQUATIONS . ( 13. ) General rules for the solution of equations . The same quantity may be added to , or subtracted from , both sides of an ...
... divided by the corresponding denominator , for a new numerator . ( Bonnycastle , Arith . ) EQUATIONS . ( 13. ) General rules for the solution of equations . The same quantity may be added to , or subtracted from , both sides of an ...
Σελίδα 5
... divided by the corresponding numerator . Two simple equations containing two unknown quantities may be 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 ...
... divided by the corresponding numerator . Two simple equations containing two unknown quantities may be 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 ...
Σελίδα 36
... divided by x - a , the remainder will be ( a ) . ß $ If ( x ) x − ɑ , versely . - a is a root of p ( x ) = 0 ; and con- Every equation has at least one root . ( Du Bourguet , Ann . de Math . Tome 2. ) Every equation of n dimensions has ...
... divided by x - a , the remainder will be ( a ) . ß $ If ( x ) x − ɑ , versely . - a is a root of p ( x ) = 0 ; and con- Every equation has at least one root . ( Du Bourguet , Ann . de Math . Tome 2. ) Every equation of n dimensions has ...
Σελίδα 39
... 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 + ... + an - 2 ...
... 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 + ... + an - 2 ...
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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...