Articles liés à An Elementary Course In Synthetic Projective Geometry
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Présentation de l'éditeur
The following course is intended to give, in as simple a way as possible, the essentials of synthetic protective geometry. While, in the main, the theory is developed along the well-beaten track laid out by the great masters of the subject, it is believed that there lias been a slight smoothing of the road in some places. Especially will this be observed in the chapter on I nvolution. The author lias never felt satisfied with the usjial treatment of that subject by means of circles and anharmonic ratios. A purely projective notion ought not to be based on metrical foundations. Metrical developments should be made there, as elsewhere in the theory, by the introduction of infinitely distant elements. The author has departed from the century-old custom of writing in parallel columns each theorem and its dual. He has not found that it conduces to sharpness of vision to try to focus his eyes on two things at once. Those who prefer the usual method of procedure can, of course, develop the two sets of theorems side by side; the author has not found this the better plan in actual teaching. As regards nomenclature, the author has followed the lead of the earlier writers in English, and has called the system of lines in a plane which all pass through a point a pencil of rays instead of a bundle of rays, as later writers seem inclined to do.
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- ÉditeurParlux
- Date d'édition2005
- ISBN 10 1406700096
- ISBN 13 9781406700091
- ReliureBroché
- Langueanglais
- Nombre de pages144
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