Book:T.L. Heath/The Works of Archimedes

Subject Matter
The works of.

Contents





 * $\S 1$. Use of traditional geometrical methods
 * $\S 2$. Earlier discoveries affecting quadrature and cubature
 * $\S 3$. Conic Sections
 * $\S 4$. Surfaces of the second degree
 * $\S 5$. Two mean proportionals in continued proportion
 * $\S 5$. Two mean proportionals in continued proportion


 * $\S 1$. Greek numeral system
 * $\S 2$. Addition and subtraction
 * $\S 3$. Multiplication
 * $\S 4$. Division
 * $\S 5$. Extraction of the square root
 * $\S 6$. Early investigations of surds or incommensurables
 * $\S 7$. Archimedes' approximations to $\surd 3$
 * $\S 8$. Archimedes' approximations to the square roots of large numbers which are not complete squares
 * Note on alternative hypotheses with regard to the approximations to $\surd 3$
 * Note on alternative hypotheses with regard to the approximations to $\surd 3$


 * . $\Nu \Epsilon \Upsilon \Sigma \Epsilon \Iota \Sigma$
 * $\S 1$. $\Nu \epsilon \upsilon \sigma \epsilon \iota \varsigma$ referred to by Archimedes
 * $\S 2$. Mechanical constructions: the conchoid of Nicomedes
 * $\S 3$. Pappus' solution of the $\nu \epsilon \upsilon \sigma \epsilon \iota \varsigma$ referred to in Props. $8$, $9$ On Spirals
 * $\S 4$. The problem of the two mean proportionals
 * $\S 5$. The trisection of an angle
 * $\S 6$. On certain plane $\nu \epsilon \upsilon \sigma \epsilon \iota \varsigma$








 * The Works of Archimedes


 * On the Sphere and Cylinder,
 * Book $\text I$
 * Book $\text {II}$


 * Measurement of a Circle


 * On Conoids and Spheroids


 * On Spirals


 * On the Equilibrium of Planes,
 * Book $\text I$
 * Book $\text {II}$


 * The Sand-Reckoner


 * Quadrature of the Parabola


 * On Floating Bodies,
 * Book $\text I$
 * Book $\text {II}$


 * Book of Lemmas


 * The Cattle-Problem