This book deals with analytical solutions and the basic theoretical cutting parameters used in cutting mechanisms studies. These parameters are applicable in the machine tools whose tasks include shearing the working material. The most general theories in cutting mechanism were collected in an extensive review on papers related or nearly related to analytical researches in single blade cutter used for metal and rock cutting. These analytical solutions can also be applied for the validation of numerical simulations and force balance estimation problems and base of different machining models. The theories are presenting with their mathematical formulas and geometrically proof in separate sections in a chronologically order. The cutting mechanism parameters applied in the theories collected from different reference books and published papers. However, they were unified in the nomenclature of the book for convenience of the reader. This is a handbook in cutting mechanism of material useful for undergraduate and graduate students, researchers working in cutting mechanism topic as well as academic engineering courses especially in civil, industrial and mechanical engineering disciplines.