
 Table of contents for Library of Congress control number 95077405 
  The ninepoint circle, inversion, Feuerbach's theorem, extension of Ptolemy's theorem, Fermat's problem, the centres of similitude of two circles, coaxal systems of circles, canonical form for coaxal system, further properties, problem of Apollonius, compass geometry 2. 
  Representation of a circle, Euclidean threespace, first properties of the representation, coaxal systems, deductions from the representation 0, conjugacy relations, circles cutting at a given angle, representation of inversion, the envelope of a system, some further applications, some anallagmatic curves 3. 
  Complex numbers, the Argand diagram, modulus and argument, circles as level curves, the crossratio of four complex numbers, Moebius transformations of the splane, a Moebius transformation dissected, the group property, special transformations, the fundamental theorem, the Poincare model, the parallel axiom, nonEuclidean distance 4. 
 www.loc.gov /catdir/toc/cam027/95077405.html (210 words) 
