Euclid, Elements [B1, D1] Book 1, Definition 1

by Corry Shores
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Euclid

The Elements
Στοιχεῖα 

Book 1
Βιβλίον I

Definitions
Ὅροι

Definition 1

Definition 1:
D1. A point is that which has no parts.

(Byrne, p.xviii)

[In the introduction Byrne describes a point using a colored circle]

(Byrne p.xiii)

Let three colours meet and cover a portion of the paper, where they meet is not blue, nor is it yellow, nor is it red, as it occupies no portion of the plane, for if it did, it would belong to the blue, the red, or the yellow part; yet it exists, and has position without magnitude, so that with a little reflection, this junc-|-tion of three colours on a plane, gives a good idea of a mathematical point.

(Byrne, p.xiii-xiv)

Sources:

Euclid; Oliver Byrne. The First Six Books of The Elements of Euclid, in which Coloured Diagrams and Symbols are Used Instead of Letters for the Greater Ease of Learners. London: William Pikering, 1847.

Available at:

https://archive.org/details/firstsixbooksofe00byrn

https://archive.org/details/firstsixbooksofe00eucl

 

Euclid; J.L. Heiberg; Richard Fitzpatrick. Euclid’s Elements of Geometry. Ed. Richard Fitzpatrick. Online edition. 2007. Available at:

http://farside.ph.utexas.edu/euclid/elements.pdf

 

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 1. Books I-II. 2nd Edition. Ed. and Trans. Thomas L. Heath. Cambridge: Cambridge UP, 1968.

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 1. Books I-II. 2nd Edition. Ed. and Trans. Thomas L. Heath. New York: Dover, 1956.

Available at:

https://archive.org/details/euclid_heath_2nd_ed

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 1. Books I-II. 1st Edition. Ed. and Trans. Thomas L. Heath. Cambridge: Cambridge UP, 1908.

Available at:

https://archive.org/details/thirteenbookseu02heibgoog

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 2. Books III-IX. 2nd Edition. Ed. and Trans. Thomas L. Heath. New York: Dover, 1956.

Available at:

https://archive.org/details/euclid_heath_2nd_ed

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 2. Books III-IX. 1st Edition. Ed. and Trans. Thomas L. Heath. Cambridge: Cambridge UP, 1908.

Available at:

https://archive.org/details/thirteenbookseu00heibgoog

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 3. Books X-XIII. 2nd Edition. Ed. and Trans. Thomas L. Heath. New York: Dover, 1956.

Available at:

https://archive.org/details/euclid_heath_2nd_ed

Euclid; Heath.  The Thirteen Books of the Elements. Vol. 3. Books X-XIII. 1st Edition. Ed. and Trans. Thomas L. Heath. Cambridge: Cambridge UP, 1908.

Available at:

https://archive.org/details/thirteenbookseu03heibgoog

 

Mendell, Henry. Euclid. In Vignettes of Ancient Mathematics:

http://web.calstatela.edu/faculty/hmendel/Ancient%20Mathematics/VignettesAncientMath.html

Joyce, David E. Euclid Elements. With diagrams, java applets.
http://aleph0.clarku.edu/~djoyce/java/elements/toc.html

Online Greek. Dimitrios E. Mourmouras:

http://www.physics.ntua.gr/~mourmouras/euclid/index.html