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

1% common-notions.tex — Euclid's five common notions (axioms of magnitudes).
2
3\section*{Common Notions}
4\label{sec:common-notions}
5
6\begin{rrxivremark}[Common Notion~1]
7\label{cn:1}
8Things which are equal to the same thing are also equal to one another.
9\end{rrxivremark}
10
11\begin{rrxivremark}[Common Notion~2]
12\label{cn:2}
13If equals be added to equals, the wholes are equal.
14\end{rrxivremark}
15
16\begin{rrxivremark}[Common Notion~3]
17\label{cn:3}
18If equals be subtracted from equals, the remainders are equal.
19\end{rrxivremark}
20
21\begin{rrxivremark}[Common Notion~4]
22\label{cn:4}
23Things which coincide with one another are equal to one another.
24\end{rrxivremark}
25
26\begin{rrxivremark}[Common Notion~5]
27\label{cn:5}
28The whole is greater than the part.
29\end{rrxivremark}
30