About the Book
This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1899. Not illustrated. Excerpt: ... index. Accelerated motion, 57, 60. Accelerating force, 62. Advice for studying the Calculus, 132. 133-Angle, unit employed in measuring an, 51. Approximate solutions in the Integral Calculus, 132, 133. Arc and its chord, a continuously decreasing, 7 et seq., 39 et seq. Archimedes 127. Astronomical ephemeris, 76. Calculus, notation of, 25, 79 et seq. Circle, equation of, 31 et seq. Circle cut by straight line, investi-gated, 31 et seq. Coefficients, differential, 22 et seq., 38, 55, 82, 88, 96, 100, 112. Complete Differential Coefficients, 56. Constants, 14. Contiguous values, 112. Continuous quantities, 7 et seq., 53. Co-ordinates, 30. Curve, magnified, 40. Curvilinear areas, determination of, 124 et seq. Density, continuously varying, 130 et Beq. Derivatives, 19, 21, 22. Derived Functions, 19 et seq., 21. Differences, arithmetical, 4; of incre-ments, 26; calculus of, 8g. Differential coefficients, 22 et seq. 38,55,82, as the index of the change of a function, 112; of higher orders, 88. Differentials, partial, 78 et seq.; total 78 et seq. Differentiation, of the common func-tions, 85, 86; successive, 88 et seq.; implicit, 94 et seq.; of complicated functions, 100 et seq. Direct function, 97. Direction, 36. Equality, 4. Equations, solution of, 77. Equidistant values, 104. Euler, 27, 124. Errors, in the valuation of quantities, 75. 84. Explicit functions, 107. Falling bodies, 56. Finite differences, 88 et seq. Fluxions, ii, 60, 112. Force, 61-63. Functions, definition of, 14 et seq.; derived, 19 et seq., 21; direct and indirect, 97; implicit and explicit, 107,108; inverse, 102 et seq.. of sev-eral variables,78 et seq.; recapitula-tion of results in the theory of, 74. Generally, the word, 16. Implicit, differentiation, 94 et seq.; function, 107, 108. Impulse, 60. I...
