Wikipedia only mentions that it follows from the Cartesian equation for a circle: $\left(x - a \right)^2 + \left( y - b \right)^2=r^2$
https://en.wikipedia.org/wiki/Circumscribed_circle#cite_note-1
but I'm interested to know how far back this dates.
Wikipedia only mentions that it follows from the Cartesian equation for a circle: $\left(x - a \right)^2 + \left( y - b \right)^2=r^2$
https://en.wikipedia.org/wiki/Circumscribed_circle#cite_note-1
but I'm interested to know how far back this dates.
It is Proposition $5$ in Book IV of Euclid's Elements.
Undoubtedly the result predates Euclid by many years, indeed centuries. But little pre-Euclidean material has survived.