Elements of the Infinitesimal Calculus: With Numerous Examples and Applications to Analysis and Geometry |
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Elements of the Infinitesimal Calculus: With Numerous Examples and ... James Gregory 1837-1924 Clark No preview available - 2021 |
Common terms and phrases
1+x² angle Assuming asymptote axis bx² circle constant converging Corollary cos² coversin curvature curve cycloid d²u d²u d²y d³y definite integral derivatives determine dF dF differential equation du du dx dx dx dy dx dx dz dx² dx³ dy dx dy dy dy dz dy² dz dx dz dy dz dz elimination ellipse equal exact differential EXAMPLES expression F(x+h factor finite function given equation Hence independent variable infinitesimal integral limit logarithmic spiral Maclaurin's formula method obtain plane Problem radius ratio reduce render sec² sin² singular solution substitution subtangent surface tang tang-¹ tangent line versin whence x² dx xm dx zero α α
Popular passages
Page 283 - When the exponent of the variable without the parenthesis increased by unity, is exactly divisible by the exponent of the variable within the parenthesis.
Page 151 - MRS^ at a point on the indifference curve we can do so by drawing tangent at the point on the indifference curve and then measuring the slope by estimating the value of the tangent of the angle which the tangent line makes with the X-axis.