Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 sider |
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Resultat 1-5 av 29
Side 27
... parabola referred to its usual axes , viz . , axis of the parabola and the tangent at the vertex . With the same Y R T M N X Fig . 8 . construction as before , we have PM2-4AS . AM , QN 4AS . AN , QN2 – PM2 = 4A S ( AN – AM ) = 4AS.PR ...
... parabola referred to its usual axes , viz . , axis of the parabola and the tangent at the vertex . With the same Y R T M N X Fig . 8 . construction as before , we have PM2-4AS . AM , QN 4AS . AN , QN2 – PM2 = 4A S ( AN – AM ) = 4AS.PR ...
Side 32
... is that , if a tangent be drawn to the parabola ay = x2 at the point ( x , y ) , it will be inclined to the axis of x at the angle tan- ' -12x α Ex . 4. Find from the definition the differential coefficient 32 FUNDAMENTAL PROPOSITIONS .
... is that , if a tangent be drawn to the parabola ay = x2 at the point ( x , y ) , it will be inclined to the axis of x at the angle tan- ' -12x α Ex . 4. Find from the definition the differential coefficient 32 FUNDAMENTAL PROPOSITIONS .
Side 177
... Parabola r p2 = ar α 13 r = 2 ( 1– cose ) Cardioide | p2a = r3 - r = a sin e Circle pa = r2 2 r2 = a2sin 20 Lemniscate of Bernoulli | pa2 = r3 PEDAL CURVES . 191. DEF . If a perpendicular be drawn from a fixed point on a variable ...
... Parabola r p2 = ar α 13 r = 2 ( 1– cose ) Cardioide | p2a = r3 - r = a sin e Circle pa = r2 2 r2 = a2sin 20 Lemniscate of Bernoulli | pa2 = r3 PEDAL CURVES . 191. DEF . If a perpendicular be drawn from a fixed point on a variable ...
Side 193
... parabola y2 = 4ax , prove ds la + x dx - Ꮳ 7. Prove that for the ellipse 8. For the cycloid prove 9. In the curve ds аф y2 + - a2 1 , if x = a sin , b2 = a √√1 − e2sin2p . - x = a vers 0 0 ) } y = a ( 0+ sin 0 ) S ' ds dx - 2a Ꮳ y ...
... parabola y2 = 4ax , prove ds la + x dx - Ꮳ 7. Prove that for the ellipse 8. For the cycloid prove 9. In the curve ds аф y2 + - a2 1 , if x = a sin , b2 = a √√1 − e2sin2p . - x = a vers 0 0 ) } y = a ( 0+ sin 0 ) S ' ds dx - 2a Ꮳ y ...
Side 194
... parabola 1 . - cos 0 , prove the following results : - Ꮎ ( a ) & 2 a ( B ) p sin 2 ( y ) p2 = ar . ( 6 ) Polar subtangent = 2a cosec 0 . 17. For the cardioide r = = a ( 1 · ( a ) = Ꮎ 2 - COS 0 ) , prove ( B ) p = 2a sin3 ( 7 ) p2 ...
... parabola 1 . - cos 0 , prove the following results : - Ꮎ ( a ) & 2 a ( B ) p sin 2 ( y ) p2 = ar . ( 6 ) Polar subtangent = 2a cosec 0 . 17. For the cardioide r = = a ( 1 · ( a ) = Ꮎ 2 - COS 0 ) , prove ( B ) p = 2a sin3 ( 7 ) p2 ...
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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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