Translated into many languages, this book was in continuous use as the standard university-level text for a quarter century, until it was revised and enlarged by the author in 1952.
The first part of the text stresses construction problems, proceeding to surveys of similitude and homothecy, properties of the triangle and the quadrilateral, and harmonic division. Subsequent chapters explore the geometry of the circle including inverse points, orthogonals, coaxals, and the problem of Apollonius - and triangle geometry, focusing on Lemoine and Brocard geometry, isogonal lines, Tucker circles, and the orthopole. Numerous exercises of varying degrees of difficulty appear throughout the text.