A Treatise On the Differential And Integral Calculus
A Treatise On the Differential And Integral Calculus
Edward Henry Courtenay
The book A Treatise On the Differential And Integral Calculus was written by author Edward Henry Courtenay Here you can read free online of A Treatise On the Differential And Integral Calculus book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On the Differential And Integral Calculus a good or bad book?
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The Ellipse, aV + ^'^^^ = a*^^ 151 dx' . * . The equation of the tangent is •.^*=-— ^ and ^ = -^ dy^ h^x. or, a*yyi + ^^^1 = ^*^^' 4 1 1^. . ^"^ tt^l « Also subtangent = — y, -r-^ = -r^ = a?,. And subnormal *^__6^ y^^- ,2^- 3. The logarithmic curve, whose equation is y =zaF* ^ = loga.a'. • * • subtan = log a . a't log a = — m. where m is the modulus of the system of logarithms whose base is a. Also subnorm = log a . a*tyi = — = • In this curve, the values of the abscissas are the logarithms of ...the values of the corresponding ordinates in the system whose base is u. 114. Prof, To determine expressions for the tangent, the normal, and the perpendicular from the origin to the tangent of a plane curve. For the tangcLt PT, we have PT = -/FD^ + DT"^ NT" Digitized by VjOOQIC 152 DIFFERENTIAL CALCULUS. For the normal PNy we have For the perpendicular 0§, we have Oq^OT,^mOTq-OT cosec iec4 ~ V 1 + cot»« r , f^"|l Ex. The general equation of all parabolas. The general name of parabola is applied to all curves included in the equation y*" = a*"^ar, in which m may represent any positive number either whole or fractional.
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