Mathematical Experiment 12


  1. Construct the osculating circle of the nephroid.

  2. Construct the osculating circle of the cardioid.

  3. Construct the osculating circle of the deltoid.

  4. Construct the osculating circle of the astroid.

  5. Construct the osculating circle of the inversion of the astroid.

  6. Construct the osculating circle of the inversion of the deltoid.

  7. Construct the osculating circle of the inversion of the nephroid.

  8. Construct the osculating circle of the inversion of the cardioid.

  9. Construct the degenerate case of Steiner's porism: one circle becomes a straight line.

  10. Investigate various properties of Steiner's porism:





exp12.tex