Solutions of the Cambridge Problems, from 1800 to 1820, Volume 1Black and Armstrong, 1836 |
Overige edities - Alles bekijken
Solutions of the Cambridge Problems, from 1800 to 1820, Volume 1 John Martin Frederick Wright Volledige weergave - 1836 |
Solutions of the Cambridge Problems: From 1800 to 1820, Volume 1 John Martin Frederick Wright Geen voorbeeld beschikbaar - 2015 |
Solutions of the Cambridge Problems: From 1800 to 1820, Volume 1 John Martin Frederick Wright Geen voorbeeld beschikbaar - 2015 |
Veelvoorkomende woorden en zinsdelen
1+x² 2xdx a+b+c+ A₁ a² b² a²+x² arithmetic arithmetic series assume b² c² C₁ coefficients common difference common ratio d₁ Differential digits dividing division dx dx equal roots F₁ F₂ ƒ dx geometric geometric series given equation greatest common measure Hence INTEGRAL CALCULUS integrate logarithm multiplying nearly negative number of terms Otherwise P₁ problem Q₁ quadratic quantity radius roots required S₁ S₂ Similarly substituting Theorem value required whence whole number x2 dx x2dx
Populaire passages
Pagina 110 - REBATE, is an allowance made on a bill, or any other debt not yet become due, in consideration of present payment.
Pagina 220 - The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity.
Pagina 78 - ... progression, is equal to the sum of the first and last terms multiplied by half the number of terms; therefore, the sum of the moments about R, is 5,000 X 5!L±.§!
Pagina 220 - A in formulas (11), (10), and (13), we obtain the following results. sin (A + A) = sin A cos A + cos A sin A cos (A...
Pagina 149 - For transform the proposed equation into one whose roots are the reciprocals of the roots of the proposed equation...
Pagina 510 - Laplace transformation method — corresponding to eqn. (2.80) — will result in the quotient of two polynomials in s, the degree of the numerator being less than that of the denominator. If this is not so, the quotient must be divided out leaving a polynomial and a "proper" fraction (ie one of the desired form).
Pagina 107 - The present worth of any sum, due after a certain time, is a sum such that being put out to interest, it would amount to the given sum in that time. The discount of any sum, due after a certain time, is equal to the difference between that sum and its present worth ; or it is equal to the interest of its present worth for that time. Hence, if (P) be the present worth of a sum (A) due after (n) years, we hare PR...
Pagina 213 - B, it may be shown that sin (A + B) = sin A . cos В + cos A . sin В ; and cos (A + B) = cos A . cos В — sin A . sin В ; . , cos A , cos В .._, *aeüce, dividing by -A 7? . we obtain * cos A . cos В BID (A 4- B) tan A + tan В tîJ" ' " ¿os (A + ß) = 1 -tan Л tana
Pagina 19 - Similar figures are to one another in the duplicate ratio of their homologous sides " is true of curvilinear figures as well as of rectilinear.
Pagina 141 - ... whose roots are those of the given equation with their signs changed.