Book:T.L. Heath/The Works of Archimedes
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T.L. Heath: The Works of Archimedes
Published $\text {1897}$, Cambridge University Press
Subject Matter
The works of Archimedes.
Contents
- Chapter $\text I$. Archimedes
- Chapter $\text {II}$. Manuscripts and principal editions -- order of composition -- dialect -- Lost words
- Chapter $\text {III}$. Relation of Archimedes to his predecessors
- $\S 1$. 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
- Chapter $\text {III}$. Relation of Archimedes to his predecessors
- Chapter $\text {IV}$. Arithmetic in Archimedes
- $\S 1$. 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 $\surd 3$
- Chapter $\text {IV}$. Arithmetic in Archimedes
- Chapter $\text {V}$. On the problems known as $\Nu \Epsilon \Upsilon \Sigma \Epsilon \Iota \Sigma$
- $\S 1$. $\Nu \epsilon \upsilon \sigma \epsilon \iota \varsigma$ 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 $\nu \epsilon \upsilon \sigma \epsilon \iota \varsigma$
- Chapter $\text {V}$. On the problems known as $\Nu \Epsilon \Upsilon \Sigma \Epsilon \Iota \Sigma$
- Chapter $\text {VI}$. Cubic equations
- Chapter $\text {VII}$. Anticipations by Archimedes of the integral calculus
- Chapter $\text {VIII}$. The terminology of Archimedes
- The Works of Archimedes
- On the Sphere and Cylinder,
- Book $\text I$
- Book $\text {II}$
- On the Sphere and Cylinder,
- Measurement of a Circle
- On Conoids and Spheroids
- On Spirals
- On the Equilibrium of Planes,
- Book $\text I$
- Book $\text {II}$
- On the Equilibrium of Planes,
- The Sand-Reckoner
- Quadrature of the Parabola
- On Floating Bodies,
- Book $\text I$
- Book $\text {II}$
- On Floating Bodies,
- Book of Lemmas
- The Cattle-Problem
Further Editions