A Treatise on Infinitesimal Calculus: Differential calculus. 1857University Press, 1857 - Calculus |
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Page xv
... homogeneous functions 83. Transformation of partial derived functions . SECTION 6. - Successive differentiation of implicit functions . the variables is given in an implicit form 139 84. Calculation of derived - functions when the ...
... homogeneous functions 83. Transformation of partial derived functions . SECTION 6. - Successive differentiation of implicit functions . the variables is given in an implicit form 139 84. Calculation of derived - functions when the ...
Page xx
... homogeneous forms , in terms of three variables 209. The order of the resultant of many algebraical equations .. 210. The number of the points of intersection of two eurves of the mth and nth degree ; the theorems of Newton and Cotes ...
... homogeneous forms , in terms of three variables 209. The order of the resultant of many algebraical equations .. 210. The number of the points of intersection of two eurves of the mth and nth degree ; the theorems of Newton and Cotes ...
Page xxi
... homogeneous ... 333 216. Equation to the tangent , when the equation to the curve is homogeneous and of three variables 334 217. Equation to the normal . . . . . 334 218. Values of ds , and of sin 7 , cos 7 , sin y , cos 336 219 ...
... homogeneous ... 333 216. Equation to the tangent , when the equation to the curve is homogeneous and of three variables 334 217. Equation to the normal . . . . . 334 218. Values of ds , and of sin 7 , cos 7 , sin y , cos 336 219 ...
Page xxii
... and the Hessian when the equation of the curve is homogeneous and of three variables . 390 255. Triple points ; and an example . . . . . 391 256. Quadruple points 257. Algebraical property of equations giving rise xxii ANALYTICAL TABLE.
... and the Hessian when the equation of the curve is homogeneous and of three variables . 390 255. Triple points ; and an example . . . . . 391 256. Quadruple points 257. Algebraical property of equations giving rise xxii ANALYTICAL TABLE.
Page 4
... homogeneous quantities capable of addition and subtraction , then a1 a1 + a2 A2 + A3 A3 + + an an is equal to ( a + a2 + as + ... + an ) multiplied into some quantity greater than the least , and less than the greatest , of the quan ...
... homogeneous quantities capable of addition and subtraction , then a1 a1 + a2 A2 + A3 A3 + + an an is equal to ( a + a2 + as + ... + an ) multiplied into some quantity greater than the least , and less than the greatest , of the quan ...
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Common terms and phrases
according algebraical applicable assume becomes calculated called Chapter circle coefficients consider constant contains continuous convenient corresponding curve d³u denominator derived derived-functions determine differential divided dx dy dx² dy dx dy dy dy dz elimination equal equation equicrescent equivalent Evaluate examples expand expression F(xo+h factor finite fraction function given gives greater Hence homogeneous function increases increments independent infinite infinitesimal infinity involved less limit maximum means method negative observed original partial particular pass positive powers preceding quantity reason relation replaced represent respectively result roots sides similar Similarly substituting successive suppose symbols Theorem tion true values vanish variables variation vary whence zero
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