Geometry of Continued Fractions

Abstract

The representation in the 16th century. of the solar system; of real numbers In the 17th century intrinsic, by continued Huygens he had to approximate of numbers of teeth on corresponding being completely since they revealing the great defect for even the simplest of continued algebraic to the arbitrary fractions fractions used them the ratios reasonable bounds. The nice thing about the continued it brings out very strongly computation of periods individual number a. The digits in the decimal expansion relate is that it is virtually involving in constructing of planets fraction the personality dates back to Bombelli a model by ratios gear wheels, keeping the latter within process is that, of each choice of 10 as basis. On the other impossible of a are much less hand, two or more numbers. to use them