Instruction: Construct a point on the given ray to get a segment with length equal to the harmonic mean of the two adjacent segments.
Goal: 4L 4E
- Perpendicular Bisector
- Angle Bisector
- Non-collapsing Compass
Previous Level: 9.7
Next Level: 9.9
4L 4E Solution
Given line AB, let C be the intersection of AB and the other line.
- Construct circle C with radius AC, intersecting line C at D and AB at E.
- Construct circle D with radius DE.
- Construct line DE, intersecting circle D at F.
- Construct line BF, intersecting CD at G.
- Point at G.