L'Hopital's Analyse des infiniments petits

Introduction.- L'Hopital's Preface.- In Which We Give the Rules of this Calculus.- Use of the Differential Calculus for Finding the Tangents of All Kinds of Curved Lines.- Use of the Differential Calculus for Finding the Greatest and the Least Ordinates, to Which are Reduced Questions De maximis & minimis.- Use of the Differential Calculus for Finding Inflection Points and Cusps.- Use of the Differential Calculus for Finding Caustics by Reflection.- Use of the Differential Calculus for Finding Caustics by Refraction.- Use of the Differential Calculus for Finding the Points of Curved Lines that Touch an Infinity of Lines Given in Position, Whether Straight or Curved.- The Solution of Several Problems that Depend Upon the Previous Methods.- A New Method for Using the Differential Calculus with Geometric Curves, from Which we Deduce the Method of Messrs, Descartes, and Hudde.- Appendices.

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• Geometria diferencial e riemaniana
• História da Matemática
• Cálculo integral e equações

Differential Calculus;Differential Geometry;History of Calculus;Infinitesimal Analysis;Johann Bernoulli;L'Hopital;Non-standard Analysis