Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página xii
... Curvature , 265-266 Curvature of a Circle . 267-268 269-271 Formula for Intrinsic Equations , Radius of Curvature , 266-268 268-269 272-275 Formulae for Cartesian Equations , 269-272 276-279 Curvature at the Origin , 273-275 280 Formula ...
... Curvature , 265-266 Curvature of a Circle . 267-268 269-271 Formula for Intrinsic Equations , Radius of Curvature , 266-268 268-269 272-275 Formulae for Cartesian Equations , 269-272 276-279 Curvature at the Origin , 273-275 280 Formula ...
Página 265
With Applications and Numerous Examples; an Elementary Treatise Joseph Edwards. CHAPTER X. CURVATURE . CURVATURE . 265. Angle of Contingence . Let PQ be an arc of a curve . Suppose that between P and Q there is no point of inflexion or ...
With Applications and Numerous Examples; an Elementary Treatise Joseph Edwards. CHAPTER X. CURVATURE . CURVATURE . 265. Angle of Contingence . Let PQ be an arc of a curve . Suppose that between P and Q there is no point of inflexion or ...
Página 266
... Curvature . It is clear that the whole bending or curvature which the curve undergoes between P and Q is greater or less according as the angle of contingence RTQ is greater or angle of contingence less . The fraction is called the ...
... Curvature . It is clear that the whole bending or curvature which the curve undergoes between P and Q is greater or less according as the angle of contingence RTQ is greater or angle of contingence less . The fraction is called the ...
Página 268
... curvature of a curve at a given point by reference to a circle thus drawn , the re- ciprocal of the radius being a correct measure of the rate R Z Fig . 52 . of bend . We shall therefore ... curvature be called 1_dy ds ρ 268 CURVATURE .
... curvature of a curve at a given point by reference to a circle thus drawn , the re- ciprocal of the radius being a correct measure of the rate R Z Fig . 52 . of bend . We shall therefore ... curvature be called 1_dy ds ρ 268 CURVATURE .
Página 269
... curvature be called 1_dy ds ρ = ρ we have ds or p = . ( A ) dy 270. This formula may also be arrived at thus . Let PQ and QR ( Fig . 52 ) be considered equal chords , and there- fore when we proceed to the limit the elementary arcs PQ ...
... curvature be called 1_dy ds ρ = ρ we have ds or p = . ( A ) dy 270. This formula may also be arrived at thus . Let PQ and QR ( Fig . 52 ) be considered equal chords , and there- fore when we proceed to the limit the elementary arcs PQ ...
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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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