"Spectroscopic binary stars (SB2s) and in particular spectroscopic eclipsing binaries are one of the most useful objects in astrophysics. Their photometric and spectroscopic observations allow one to determine basic parameters of stars and carry out a wide range of tests of stellar structure, evolution and dynamics. Perhaps somewhat surprisingly, they can also contribute to our understanding of the formation and evolution of (extrasolar) planets. We will study eclipsing binary stars by combining the classic - stellar astronomy - and the modern - extrasolar planets - subjects into a cutting edge project.We propose to search for and subsequently characterize circumbinary planets around ~350 eclipsing SB2s using our own novel cutting edge radial velocity technique for binary stars and a modern version of the photometry based eclipse timing of eclipsing binary stars employing 0.5-m robotic telescopes. We will also derive basic parameters of up to ~700 stars (~350 binaries) with an unprecedented precision. In particular for about 50% of our sample we expect to deliver masses of the components with an accuracy ~10-100 times better than the current state of the art.Our project will provide unique constraints for the theories of planet formation and evolution and an unprecedented in quality set of the basic parameters of stars to test the theories of the stellar structure and evolution."