Indivisibles and Infinitesimals

3x²y a.s. of triangle ACF by a.s. Archimedes Barrow Bonaventura Cavalieri calculus Cavalieri Cavalierian indivisibles centre of gravity circle construction cubature cube cycloid differentiation dy/dx)² equation Evangelista Torricelli Exercise Fermat follows fourth power Galileo geometric progression given Grégoire de Saint-Vincent Heuraet hyperbola indefinitely indivisible methods infinite number infinity inscribed figure integration Isaac Barrow John Wallis Kepler little lines mathematicians mathematics modern notation multiply ordinate parabola parallel parallelogram Pierre de Fermat plane figures problems product of a.l. proof structure proposition quadrature quantity R₁ R₂ ratio rectangle rectification of arcs René Descartes Roberval Schooten seventeenth century side Simon Stevin solids space AQCD square subtangent surface tangent methods theorem tion Torricelli touching the curve triangle ACF triangle FDC Turner Collection Unit C1 University of Keele Wallis x₁ x³/a y₁