Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página 16
... respectively written 2 eo te etc. , sinh 0 , cosh 0 , tanh 0 , etc. , and called the hyperbolic sine , cosine , tangent , etc. , of 0 , and as a class are styled hyperbolic functions . его - e - 10 Since sin elo + 0-10 = and cos 0 ...
... respectively written 2 eo te etc. , sinh 0 , cosh 0 , tanh 0 , etc. , and called the hyperbolic sine , cosine , tangent , etc. , of 0 , and as a class are styled hyperbolic functions . его - e - 10 Since sin elo + 0-10 = and cos 0 ...
Página 21
... respectively of the first , second , and third orders of small quantities , when 0 is of the first order ; also , I may be written instead of cos if second order quantities are to be rejected , and 0 for sin 0 when cubes and higher ...
... respectively of the first , second , and third orders of small quantities , when 0 is of the first order ; also , I may be written instead of cos if second order quantities are to be rejected , and 0 for sin 0 when cubes and higher ...
Página 29
... respectively , dx and dy being used to denote increments of the variables x and y . Then , the construction being as before , OM = x , ON = x + 8x , therefore PR = MN = 8x ; also , MP = y , NQ = y + dy , therefore RQ = dy . Again ...
... respectively , dx and dy being used to denote increments of the variables x and y . Then , the construction being as before , OM = x , ON = x + 8x , therefore PR = MN = 8x ; also , MP = y , NQ = y + dy , therefore RQ = dy . Again ...
Página 34
... values of the velocity during the interval dt ; then the spaces which would have been described with uniform velocities v1 , v2 , in time St are v1st and vst , and are respectively greater and less than 34 FUNDAMENTAL PROPOSITIONS .
... values of the velocity during the interval dt ; then the spaces which would have been described with uniform velocities v1 , v2 , in time St are v1st and vst , and are respectively greater and less than 34 FUNDAMENTAL PROPOSITIONS .
Página 35
... respectively greater and less than the actual space 88 . 88 Hence V1 and vare in descending order of magnitude . St ' If then st be diminished indefinitely , we have in the limit v1 = v = the velocity at the instant considered , which ...
... respectively greater and less than the actual space 88 . 88 Hence V1 and vare in descending order of magnitude . St ' If then st be diminished indefinitely , we have in the limit v1 = v = the velocity at the instant considered , which ...
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Sin vista previa disponible - 2006 |
Términos y frases comunes
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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