through history. At the start of the monograph, the author expresses a desire to fulfill the need for a retrospective on geometric advancements given the rapid progress in mathematics. Loria introduces his intention to provide a "chronicle" that acts as a precursor to a more extensive history of geometry in the current century. He notes the considerable challenge of writing such a historical account, emphasizing that a successful narrative would help both novices and experienced mathematicians grasp the solutions to pressing geometric problems. Although Loria acknowledges the difficulties in achieving a complete study, he outlines the foundational topics he plans to cover, including the history of geometry before the mid-19th century, theories of curves and surfaces, and the implications of differential geometry. (This is an automatically generated summary.)