Proposition 25
Construction
Given an arc, to describe the complete circle.
Construction Steps
1. Let the circlular arc through the points A, B, and C be given.
2. JoinAB , BC .
3. BisectAB and BC at D and E, respectively.
4. From D, draw a line perpendicular toAB , and from E, draw a line perpendicular to BC . These two lines intersect at F.
5. JoinFB . The circle centered at F with radius ￜFBￜ is the complete circle of which arc ABC is a part.
2. Join
3. Bisect
4. From D, draw a line perpendicular to
5. Join
Original statement
κύκλου τμήματος δοθέντος προσαναγράψαι τὸν κύκλον, οὗπέρ ἐστι τμῆμα.
English translation
Given a segment of a circle, to describe the complete circle of which it is a segment.
