Commentary on Proposition III.24

Back to Proposition III.24.

[Folio 0060 | p. 54]

Compare the note on the last proposition. I have put a semicolon instead of the comma which the Greek text has after “outside it,” in order the better to indicate that the inference “and a circle cuts a circle in more points than two” only refers to the third hypothesis that the applied segment is “otherwise placed ($\text{παραλλάξει}$) as CGD.” The first two hypotheses are disposed of by a tacit reference to the preceding proposition III. 23.