Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 sider |
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Side xii
... Inflexion and Undulation , 241-248 Analytical Conditions , 249-250 Multiple Points , PAGES . 214 215 215-216 216-218 ... point on a Curve , 242-248 258-259 To discriminate the Species of a Cusp , 248-253 260-261 Singularities of ...
... Inflexion and Undulation , 241-248 Analytical Conditions , 249-250 Multiple Points , PAGES . 214 215 215-216 216-218 ... point on a Curve , 242-248 258-259 To discriminate the Species of a Cusp , 248-253 260-261 Singularities of ...
Side 230
... Point of Inflexion . The kind of point discussed in Art . 238 is an ordinary point on a curve . It may however happen that for some point on the curve the tangent , after its cross and recross , crosses the curve again at a third ...
... Point of Inflexion . The kind of point discussed in Art . 238 is an ordinary point on a curve . It may however happen that for some point on the curve the tangent , after its cross and recross , crosses the curve again at a third ...
Side 232
... point P1 be taken , NP - N1Q , will have the same sign - positive if " ( x ) be positive , and negative if p ′′ ( x ) ... Inflexion . If " ( x ) = 0 at the point under consideration , we have h3 h4 - N1P1N1Q1 = 3 ! " ( x ) + " ' ( x ) + ...
... point P1 be taken , NP - N1Q , will have the same sign - positive if " ( x ) be positive , and negative if p ′′ ( x ) ... Inflexion . If " ( x ) = 0 at the point under consideration , we have h3 h4 - N1P1N1Q1 = 3 ! " ( x ) + " ' ( x ) + ...
Side 233
... point is of the kind described in Art . 239 , and called a point of inflexion . A necessary condition then for a point of inflexion is that 1 " ( x ) if not infinite should vanish , and the sign of p ′′ ' ( x ) determines the character ...
... point is of the kind described in Art . 239 , and called a point of inflexion . A necessary condition then for a point of inflexion is that 1 " ( x ) if not infinite should vanish , and the sign of p ′′ ' ( x ) determines the character ...
Side 234
... point is of the kind described in Art . 240 and called a point of undulation . 244. Higher Degrees of Singularity ... inflexion , and indeed have been for distinction called by Cramer points of visible inflexion , * although the ...
... point is of the kind described in Art . 240 and called a point of undulation . 244. Higher Degrees of Singularity ... inflexion , and indeed have been for distinction called by Cramer points of visible inflexion , * although the ...
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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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