Diophantine geometric figures

The work due its content has voluminous character. Its separate parts be met with approval on various international conferences and as the presented there five Chapters (Chapter I. Planar Bidiophantine geometric figures; Chapter 2 Diophantine geometric figures (triangle, rectangle, n-gon); Chapter III. On a fundamental task of Diophantine geometric figures; Chapter IV. On a fundamental task of Bidiophantine geometric figures; Chapter V. Pseudodiophantine andPseudobidiophantine geometric figures. Following one of Hugo Steinhaus problematic tasks) represents the parts of one integrated work, it is advisable to publish it as one integrated work. Each Chapter includes the abstract, keywords, introduction and basic part. In the work is studied such figures that are called as Giophantine figures, due that for determination of properties of each of themis necessary the solution of certain number of Diophantine eqs. Are stated lot of tasks necessary for studying of these figures, most of then are solved and certain of them are rather problematic. The complexity of these quiet interesting issues will be clear for reader from this work.