Produced by Juliet Sutherland, Anna Hall and the Online Distributed Proofreading Team at http://www.pgdp.net A book upon the teaching of geometry may be planned in divers ways. It may be written to exploit a new theory of geometry, or a new method of presenting the science as we already have it. On the other hand, it may be ultraconservative, making a plea for the ancient teaching and the ancient geometry. It may be prepared for the purpose of setting forth the work as it now is, or with the tempting but dangerous idea of prophecy. It may appeal to the iconoclast by its spirit of destruction, or to the disciples of _laissez faire_ by its spirit of conserving what the past has bequeathed. It…
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