Rules of Euclidean Constructions
In Euclidean constructions, five operations are allowed:
- Draw a line through two points
- Draw a circle through a point with a given center
- Find the intersection point of two lines
- Find the intersection points of two circles
- Find the intersection points of a line and a circle
The initial elements in a geometric construction are called the "givens", such as a given point, a given line or a given circle.
Read more about this topic: Special Cases Of Apollonius' Problem
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