Construction of First Binomial Straight Line/Mistake

Source Work

1926: Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements: Volume 3 (2nd ed.)

In the words of Euclid:

To find the first binomial straight line.

(The Elements: Book $\text{X}$: Proposition $48$)

The mistake can be seen in the edition as published by Dover: ISBN 0-486-60089-0.

Mistake

Therefore $EF$ is a first binomial straight line.

See the construction:

$EG$ is the binomial which the rest of the proof is to demonstrate is a first binomial.

This line therefore should read:

Therefore $EG$ is a first binomial straight line.