Welcome guest
You're not logged in.
281 users online, thereof 0 logged in

## Axiom: 1.2: Circle Determined by its Center and its Radius

### (Postulate 3 from Book 1 of Euclid’s “Elements”)

And to draw a circle with any center and radius.

### Modern Formulation

A point $$A$$ and a given segment $$\overline{AB}$$ always completely determine a circle $$c$$. Instead of saying “determine”, we also say that $$c$$ “is the circle with the center” $$A$$ “of the radius” $$\overline{AB}$$.

| | | | | created: 2014-06-14 21:01:23 | modified: 2019-03-23 08:20:23 | by: bookofproofs | references: [626], [628], [6419]

### CC BY-SA 4.0

[626] Callahan, Daniel: “Euclid’s ‘Elements’ Redux”, http://starrhorse.com/euclid/, 2014