# Book:Pappus of Alexandria/Collection

## Pappus of Alexandria: *Collection*

Published $c. 340$.

## Subject Matter

- A compendium of the state of mathematics as it was known as the time.

## Contents

- Book I is lost.
- Book II (the first part of which is lost) concerned the multiplication system of Apollonius of Perga.
- Book III contains geometrical problems.
- Book IV contains deep theorems concerning circles and other more complicated curved geometrical figures.
- Book V contains solid geometry, taking as its starting point the five Platonic solids.
- Book VI resolves difficulties in various "lesser astronomical works" (i.e. others than Ptolemy's
*Almagest*), including Euclid's*Optics*and*Phaenomena*. - Book VII discusses books by various authors: Euclid, Apollonius, Aristaeus and Eratosthenes.
- Book VIII is mainly mechanics, but there are some theorems of pure geometry as well.

## Also known as

In the original Greek: *Synagoge* (*Συναγωγή*).

Also referred to as *Mathematical Collection*

## Sources

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {A}.8$: Pappus (fourth century A.D.)