Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página xii
... sides of the Asymptote 230 at opposite extremities . Exceptions , Curvilinear Asymptotes , 231-233 Linear Asymptote obtained by Expansion , 234-235 Polar Equation to Asymptote , . 236 Circular Asymptotes , CHAPTER IX . SINGULAR POINTS ...
... sides of the Asymptote 230 at opposite extremities . Exceptions , Curvilinear Asymptotes , 231-233 Linear Asymptote obtained by Expansion , 234-235 Polar Equation to Asymptote , . 236 Circular Asymptotes , CHAPTER IX . SINGULAR POINTS ...
Página 2
... sides , the position of the vertex are variables . • It has become conventional to make use of the letters a , b , c , , a , ß , y , . . . , from the beginning of the alphabet to denote constants ; and to retain later letters , such as ...
... sides , the position of the vertex are variables . • It has become conventional to make use of the letters a , b , c , , a , ß , y , . . . , from the beginning of the alphabet to denote constants ; and to retain later letters , such as ...
Página 3
... sides are x and y and the included angle 0 , we have A = xy sin 0 to express the area . Here is the dependent variable , and is a function of known form — of x , y , and 8 , which are the independent variables . 7. It will be seen that ...
... sides are x and y and the included angle 0 , we have A = xy sin 0 to express the area . Here is the dependent variable , and is a function of known form — of x , y , and 8 , which are the independent variables . 7. It will be seen that ...
Página 6
... sides of the polygon be decreased indefinitely and at the same time increased in number indefinitely , the polygon continually approximates to the form of the curve , and ultimately differs from it in area by less than any assignable ...
... sides of the polygon be decreased indefinitely and at the same time increased in number indefinitely , the polygon continually approximates to the form of the curve , and ultimately differs from it in area by less than any assignable ...
Página 13
... 2 ! and the limit of the right - hand side , when a is indefinitely diminished , is clearly log . 23. The following proof of II . is independent of the Binomial Theorem : ( i . ) Let n be a positive integer DEFINITIONS . LIMITS . 13.
... 2 ! and the limit of the right - hand side , when a is indefinitely diminished , is clearly log . 23. The following proof of II . is independent of the Binomial Theorem : ( i . ) Let n be a positive integer DEFINITIONS . LIMITS . 13.
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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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