Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página xii
... a Point of Inflexion , 278-279 285 Co - ordinates of Centre of Curvature , 279-281 286-290 Involutes and Evolutes , 281-285 291-294 Intrinsic Equations , 285-288 ARTS . PAGES . 295-297 Contact . Analytical Conditions , xii CONTENTS .
... a Point of Inflexion , 278-279 285 Co - ordinates of Centre of Curvature , 279-281 286-290 Involutes and Evolutes , 281-285 291-294 Intrinsic Equations , 285-288 ARTS . PAGES . 295-297 Contact . Analytical Conditions , xii CONTENTS .
Página xiii
... Evolutes , . 320 321-322 CHAPTER XII . CURVE TRACING . 315-317 Nature of the Problem ; Order of Procedure in Cartesians , 330-333 318-319 Examples , 333-340 322 Order of Procedure for Polar Curves , 326 320-321 Newton's Parallelogram ...
... Evolutes , . 320 321-322 CHAPTER XII . CURVE TRACING . 315-317 Nature of the Problem ; Order of Procedure in Cartesians , 330-333 318-319 Examples , 333-340 322 Order of Procedure for Polar Curves , 326 320-321 Newton's Parallelogram ...
Página 281
... evolute of that curve . If the evolute itself be regarded as the original curve , a curve of which it is the evolute is called an involute . The equation of the evolute of a given curve may be found by eliminating x and y between ...
... evolute of that curve . If the evolute itself be regarded as the original curve , a curve of which it is the evolute is called an involute . The equation of the evolute of a given curve may be found by eliminating x and y between ...
Página 282
... evolute ; and it will be seen in the chapter on Envelopes ( Art . 313 ) that in general the best method of investigating the equation of the evolute of any proposed curve is to consider it as the envelope of the normals of that curve ...
... evolute ; and it will be seen in the chapter on Envelopes ( Art . 313 ) that in general the best method of investigating the equation of the evolute of any proposed curve is to consider it as the envelope of the normals of that curve ...
Página 284
... evolute are derived . 290. Radius of Curvature of the Evolute . It is easy to find an expression for the radius of curva- ture at that point of the evolute which corresponds to any given point of the original curve . Let O ( Fig . 57 ) ...
... evolute are derived . 290. Radius of Curvature of the Evolute . It is easy to find an expression for the radius of curva- ture at that point of the evolute which corresponds to any given point of the original curve . Let O ( Fig . 57 ) ...
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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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