Bonola Roberto. Non-Euclidean Geometry

Dover Publications Inc., 1958. — 265 p. + supplement.Bonola’s Non-Euclidean Geometry is an elementary historical and critical study of the development of that subject. Based upon his article in Enriques’ collection of Monographs on Questions of Elementary Geometry', in its final form it still retains its elementary character, and only in the last chapter is a knowledge of more advanced mathematics required.Recent changes in the teaching of Elementary Geometry in England and America have made it more then ever necessary that those who are engaged in the training of the teachers should be able to tell them something of the growth of that science; of the hypothesis on which it is built; more especially of that hypotheses on which rests Euclid’s theory of parallels; of the long discussion to which that theory was subjected; and of the final discovery of the logical possibility of the different Non-Euclidean Geometries.These questions, and others associated with them, are treated in an elementary way in the pages of this book.