Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 sider |
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Resultat 1-5 av 52
Side 20
... Suppose , for instance , the equation to be A1 + B1 + C2 + D2 + E2 + F3 + ... = 0 , 1 2 2 ......... ( i . ) each letter denoting an infinitesimal of the order indi- cated by the suffix . Then , dividing by A ,, B C , 1+ + + A1 A1 Ai D2X ...
... Suppose , for instance , the equation to be A1 + B1 + C2 + D2 + E2 + F3 + ... = 0 , 1 2 2 ......... ( i . ) each letter denoting an infinitesimal of the order indi- cated by the suffix . Then , dividing by A ,, B C , 1+ + + A1 A1 Ai D2X ...
Side 21
... suppose AP the arc of a circle of centre 0 and radius a . Suppose the angle AOP ( = 0 ) to be a small quantity of the first order . Let PN be the perpendicular from P upon OA and AQ the tangent at A , meeting OP produced in Q. Join P ...
... suppose AP the arc of a circle of centre 0 and radius a . Suppose the angle AOP ( = 0 ) to be a small quantity of the first order . Let PN be the perpendicular from P upon OA and AQ the tangent at A , meeting OP produced in Q. Join P ...
Side 34
... Suppose a space s to have been described in time t with varying velocity , and an additional space ds to be described in the additional time st . Let v , and v2 be the greatest and least values of the velocity during the interval dt ...
... Suppose a space s to have been described in time t with varying velocity , and an additional space ds to be described in the additional time st . Let v , and v2 be the greatest and least values of the velocity during the interval dt ...
Side 42
... Suppose the independent variable x to change to X in ( 2 ) and let a value of v deduced from ( 2 ) be V. Let this be substituted for v in ( 1 ) , and let a value of u deduced from ( 1 ) be U. Then we have the following equations . and U ...
... Suppose the independent variable x to change to X in ( 2 ) and let a value of v deduced from ( 2 ) be V. Let this be substituted for v in ( 1 ) , and let a value of u deduced from ( 1 ) be U. Then we have the following equations . and U ...
Side 44
... suppose u = x , then du dx dx dx = ( x + h ) -x = = Ltr = 0 = = 1 . h Hence we have dy dx or dx dy dy = 1 , 1 dx dx dy 59. In this application of the general theorem of Prop . VI . y is assumed to be a function of x and consequently x ...
... suppose u = x , then du dx dx dx = ( x + h ) -x = = Ltr = 0 = = 1 . h Hence we have dy dx or dx dy dy = 1 , 1 dx dx dy 59. In this application of the general theorem of Prop . VI . y is assumed to be a function of x and consequently x ...
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Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Ingen forhåndsvisning tilgjengelig - 2006 |
Vanlige uttrykk og setninger
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence hyperbola independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE Mathematics maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх Эф
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