669335
[Translation: ]
[Translation: ]
pro-
[Translation: ]
[Commentary:
This page contains an analysis of earlier propositions used in each proposition
in Euclid's Elements
Book . (For similar analyses of Books I and III, see Add MS 6785
f. ,
f. ,
f. .)
The first wide column shows all the propositions, postulates, definitions, and axioms used in each proposition in Book IV, in the order in which they occur, including repetitions.
The second wide column shows the earlier propositions used in each proposition in Book IV, in numerical order without repetitions.
Proposition 1, for example, relies on Proposition 3 from Book I, and Proposition 15 from Book ]
The first wide column shows all the propositions, postulates, definitions, and axioms used in each proposition in Book IV, in the order in which they occur, including repetitions.
The second wide column shows the earlier propositions used in each proposition in Book IV, in numerical order without repetitions.
Proposition 1, for example, relies on Proposition 3 from Book I, and Proposition 15 from Book ]
In lib. 4o
[Translation: In the fourth ]
Definitiones
[Translation: Definitions ]
propositiones
[Translation: propositions ]
[Translation: In the fourth ]
Definitiones
[Translation: Definitions ]
propositiones
[Translation: propositions ]
[Translation: ]
[Translation: ]
pro-
[Translation: ]