Examples and Solutions in the Differential CalculusJohn Weale, 1851 - 186 halaman |
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Halaman 99
... asymptotic circle , and exhibit the general form of the two spirals . ( 12. ) The polar equation to the cissoid of Diocles is r = 2a tan sin 0. Prove this . ( 13. ) The equation to the lituus is 72 = subtangent = 2a√ . a2 ; show that ...
... asymptotic circle , and exhibit the general form of the two spirals . ( 12. ) The polar equation to the cissoid of Diocles is r = 2a tan sin 0. Prove this . ( 13. ) The equation to the lituus is 72 = subtangent = 2a√ . a2 ; show that ...
Halaman 110
... asymptotic circle , that is , an asymptotic circle whose radius = 0 . The equation to the logarithmic spiral is r = ao , or r = aemo , or r = ce " ; r increasing in a geometric ratio , while ✪ increases in an arithmetic ratio ; the ...
... asymptotic circle , that is , an asymptotic circle whose radius = 0 . The equation to the logarithmic spiral is r = ao , or r = aemo , or r = ce " ; r increasing in a geometric ratio , while ✪ increases in an arithmetic ratio ; the ...
Halaman 113
... asymptote will ultimately coincide with the curve and consequently ... asymptotic subtangent . dr Take ST - a , and draw TP , || SP ; TP , produced ... circle , centre O , vertex D , radius = a , DM = x , MP = y , DOQ = 0 . Let ...
... asymptote will ultimately coincide with the curve and consequently ... asymptotic subtangent . dr Take ST - a , and draw TP , || SP ; TP , produced ... circle , centre O , vertex D , radius = a , DM = x , MP = y , DOQ = 0 . Let ...
Halaman 122
... asymptotic circle , and when is it has an exterior asymptotic circle . Trace the curve , and show that the rectilinear asymptote is a tangent to the asymptotic circle . ( 30. ) The equation to the Cardioid is r = a ( 1 + cose ) ...
... asymptotic circle , and when is it has an exterior asymptotic circle . Trace the curve , and show that the rectilinear asymptote is a tangent to the asymptotic circle . ( 30. ) The equation to the Cardioid is r = a ( 1 + cose ) ...
Halaman 123
... asymptotic circle , radius = a , and that the curve , coming from infinity , continually approaches the convex circumference of the asymptotic circle on one side of the diameter , and the concave circumference on the other side of ...
... asymptotic circle , radius = a , and that the curve , coming from infinity , continually approaches the convex circumference of the asymptotic circle on one side of the diameter , and the concave circumference on the other side of ...
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Istilah dan frasa umum
1+p² 1+x² 2nd edition a²-x² a²+x² angle asymptote asymptotic circle axes centre CHAPTER Charles Tomlinson chord co-ordinates common parabola constant contrary flexure coseco cosx cuts the axis d²u d2u d2u d³u diameter differential coefficient distance dx d2u dx dx dx dx dy dx² e²x² eliminate ellipse equal evolute find the equation fraction frustrum function given Hence Henry Law hyperbola Inscribe the greatest intersection latus rectum locus logarithmic maxima and minima maximum or minimum negative normal NP=y origin osculating circle perpendicular point of contrary polar equation positive prove radius of curvature right-angles secx sinx spiral straight line substituting subtangent tan0 tangent Taylor's theorem trace the curve tractory Treatise triangle u a maximum values variable vertex vols vulgar fractions Whence
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