Submit Spec API

//

··

rrxiv is an open protocol. Specification · API · Pulse · AboutMaintained by the rrxiv working group · Privacy-respecting analytics

Source — Euclid's Elements, encoded as an rrxiv paper — rrxiv

Browse/Euclid's Elements, encoded as an rrxiv paper/source

Source — Euclid's Elements, encoded as an rrxiv paper

··Download archive (.tar.gz)

Reader · live HTML Source files · loading…Rendered · PDF

58 files·489.1 KB·

· 58 files

← Claims Full view

XII.11 Proposition XII.11

Cones and cylinders which are of the same height are to one another as their bases.

Proof

By XII.2 the bases (circles) are in the squared-diameter ratio; by the formula in XII.10, the volumes follow the same ratio.

lines 74–74 in main.tex