English
The booklet describes various theories to which a deep study of the problem of dividing a line segment in a given ratio leads. Considering this elementary and those related to it, the reader will make a short travel over some branches of mathematics come into contact with affine and projective geometry and the theory of groups, though in most cases without mentioning those names. The book is intended for pupils of the senior forms; in its main parts it can be easily grasped by pupils of the seventh and eighth forms.
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mathematics · geometry · ratio · geometrical constructions · ceva's theorem · cross ratio · geometry · harmonic tetrads · menelaos's theorem · simple ratio