Examples and Solutions in the Differential CalculusJohn Weale, 1851 - 186 halaman |
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Halaman 54
James Haddon. ( 43. ) A tree , in the form of a frustrum of a cone , is n feet long , and its greater and less diameters are a and b feet respectively ; show that the greatest square beam that can be cut out of it is na 3 ( a - b ) feet ...
James Haddon. ( 43. ) A tree , in the form of a frustrum of a cone , is n feet long , and its greater and less diameters are a and b feet respectively ; show that the greatest square beam that can be cut out of it is na 3 ( a - b ) feet ...
Halaman 160
... frustrum of a right cone , and a the slant height ; prove that the area of the frustrum is πa ( r + r ) . ( 21. ) If r be the radius vector , p the perpendicular on the tangent , and the angle swept out by the revolution of r round the ...
... frustrum of a right cone , and a the slant height ; prove that the area of the frustrum is πa ( r + r ) . ( 21. ) If r be the radius vector , p the perpendicular on the tangent , and the angle swept out by the revolution of r round the ...
Halaman 162
... frustrum of a right prove that the area of the frus ! ( 21. ) If r be the radius ve the tangent , and the angle s . round the pole S ; show the d Ꮎ and that p dr r ( r2 - p2 ) ( r2 ( 22. ) If in polar curves becomes cose , and 0 is h ...
... frustrum of a right prove that the area of the frus ! ( 21. ) If r be the radius ve the tangent , and the angle s . round the pole S ; show the d Ꮎ and that p dr r ( r2 - p2 ) ( r2 ( 22. ) If in polar curves becomes cose , and 0 is h ...
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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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