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[Translation: ]
Graeco codice et apud Comandinum. 35
Secundum Flussatum et Clavium.
[Translation: In a Greek codex and in Commandino 35; and in Flussas and Clavius ]
[Translation: ]
In graecis quibusdum codicibus et
et [???] Gemini. 3
[Translation: In certain Greek codices and in [???] Gemini. 3 ]
In alijs graecis codicibus et apud
Comandinum.
[Translation: In other Greek codices and in Commandino. ]
Apud Clavium.
[Translation: In Clavius. ]
[Translation: ]
In Graecis quibusdum.
[Translation: In certain Greek authors ]
Apud Comandinum.
[Translation: In Commandino ]
Apud Clavium.
[Translation: In Clavius ]
[Translation: ]
[Translation: ]
[Translation: ]
[Commentary:
This page contains an analysis of the contents and structure of Euclid's Elements
Book . The list at the top of the page gives the number of definitions, postulates, axioms, and propositions given by various authors. The table in the lower half of the page lists the individual propositions, each classified as a Problem or a Theorem, with notes of the postulates, definitions, and axioms used in each.
The first wide column lists all the postulates, definitions, and axioms used in each proposition, in the order in which they occur, including repetitions.
The second wide column lists the postulates, definitions, and axioms in numerical order without repetitions.
The third wide column lists previous propositions used.
The final narrow column shows the total number of previous propositions used.
Proposition 2, for example uses Definition 15; Postulates 1, 2, 3; Axioms 1, 3; and Proposition 1.
The editions of Euclid referred to on this page are:
Federico Commandino, Euclidis Elementorum libri XV (Euclid
Christophor Clavius, Euclidis Elementorum libri XV (1574, 1589, 1591, 1603, 1607) (Euclid , to which was added a supposed sixteenth book, De solidorum regularium comparatione by Francis Flussas Candalla (François de Foix comte de (Flussas . ]
The first wide column lists all the postulates, definitions, and axioms used in each proposition, in the order in which they occur, including repetitions.
The second wide column lists the postulates, definitions, and axioms in numerical order without repetitions.
The third wide column lists previous propositions used.
The final narrow column shows the total number of previous propositions used.
Proposition 2, for example uses Definition 15; Postulates 1, 2, 3; Axioms 1, 3; and Proposition 1.
The editions of Euclid referred to on this page are:
Federico Commandino, Euclidis Elementorum libri XV (Euclid
Christophor Clavius, Euclidis Elementorum libri XV (1574, 1589, 1591, 1603, 1607) (Euclid , to which was added a supposed sixteenth book, De solidorum regularium comparatione by Francis Flussas Candalla (François de Foix comte de (Flussas . ]
In Libro primo Elementorum
[Translation: In Book I of Euclid's Elements
[Translation: In Book I of Euclid's Elements
[Translation: ]
Graeco codice et apud Comandinum. 35
Secundum Flussatum et Clavium.
[Translation: In a Greek codex and in Commandino 35; and in Flussas and Clavius ]
[Translation: ]
In graecis quibusdum codicibus et
et [???] Gemini. 3
[Translation: In certain Greek codices and in [???] Gemini. 3 ]
In alijs graecis codicibus et apud
Comandinum.
[Translation: In other Greek codices and in Commandino. ]
Apud Clavium.
[Translation: In Clavius. ]
[Translation: ]
In Graecis quibusdum.
[Translation: In certain Greek authors ]
Apud Comandinum.
[Translation: In Commandino ]
Apud Clavium.
[Translation: In Clavius ]
Problemata.
[Translation: Problems ]
Theoremata.
[Translation: Theorems ]
propositiones.
[Translation: Propositions ]
[Translation: Problems ]
Theoremata.
[Translation: Theorems ]
propositiones.
[Translation: Propositions ]
[Translation: ]
[Translation: ]
[Translation: ]
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digilib