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Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.

The course presents a rigorous treatment of the foundations of Euclidean and non-Euclidean geometries. The discovery of non-Euclidean geometry in the first half of the 19th century shattered the ...

(1) CHRISTIAN VON STAUDT'S “Beiträge zur Geometrie der Lage” was published so long ago as 1857; about the year 1871 Felix Klein wrote a series of papers emphasising the fact that it is possible to ...