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

XI.3 Proposition XI.3

If two planes cut one another, their common section is a straight line.

Proof

Take two points

A

,

B

in the common section. Draw the straight line

A B

in each plane; by XI.1 each segment of

A B

lies in its plane, and uniqueness of the line forces both segments to coincide.

lines 74–74 in main.tex