Differential Calculus with Applications and Numerous Examples: An Elementary Treatise... |
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Page 16
... respectively written 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 .し Since sin его e - 10 21 elo + e - 10 and cos 0 = where 2 1 , it ...
... respectively written 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 .し Since sin его e - 10 21 elo + e - 10 and cos 0 = where 2 1 , it ...
Page 21
... respectively of the first , second , and third orders of small quantities , when is of the first order ; also , 1 may be written instead of cos 0 if second order quantities are to be rejected , and ✪ for sin ◊ when cubes and higher ...
... respectively of the first , second , and third orders of small quantities , when is of the first order ; also , 1 may be written instead of cos 0 if second order quantities are to be rejected , and ✪ for sin ◊ when cubes and higher ...
Page 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 + dx , 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 + dx , therefore PR = MN = 8x ; also , MP = y , NQ = y + dy , therefore RQ = dy . Again ...
Page 34
... values of the velocity during the interval st ; then the spaces which would have been described with uniform velocities v , v2 , in time st are v1st and v , st , and are respectively greater and 34 FUNDAMENTAL PROPOSITIONS .
... values of the velocity during the interval st ; then the spaces which would have been described with uniform velocities v , v2 , in time st are v1st and v , st , and are respectively greater and 34 FUNDAMENTAL PROPOSITIONS .
Page 35
... respectively greater and less than the actual space ds . S's Hence v1 Sť and v , are in descending order of magnitude . If then åt be diminished indefinitely , we have in the limit v1 == the velocity at the instant considered , which 2 ...
... respectively greater and less than the actual space ds . S's Hence v1 Sť and v , are in descending order of magnitude . If then åt be diminished indefinitely , we have in the limit v1 == the velocity at the instant considered , which 2 ...
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards No preview available - 2006 |
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A. W. VERRALL ALGEBRA angle ARITHMETIC Assistant-Master asymptote axis BEGINNERS BOOK Cambridge CHEMISTRY chord Christ's College circle Clifton College co-ordinates conic Crown 8vo curvature cusp d²y denote differential coefficient dx dx dx dy dx² dy dx ELEMENTARY English EXAMPLES expansion Extra fcap Fcap Fellow of St Fellow of Trinity function Geometrical given Globe 8vo Greek Hence HISTORY independent variable John's College late Fellow LATIN Lecturer LL.D Macmillan's Master Mathematics normal origin Owens College Oxford p(x+h parabola pedal equation perpendicular point of inflexion polar positive pedal PRIMER Professor prove quantity radius School Second Edition Show straight line tangent Taylor's Theorem Translated TREATISE Trinity College University University of Cambridge Vocabulary ди ди ду дх эф Эх
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