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Manual to collect and arrange all those Elementary Q-eometrical Propositions not given in Euclid which aS tudent will require in his Mathematical Course. The necessity for such a Work will be obvious to every person engaged in Mathematical Tuition. I have been frequently obliged, when teaching the Higher Mathematics, to interrupt my demonstrations, in order to prove some elementary Propositions on which they depended, but which were not given in any book to which I could refer. The object of the present little Treatise is to supply that want. The following is the plan of theW ork. It is divided into five Chapters, corresponding to Books I., II., III., IV., YI. of Euclid. The Supplements to Books I.-IV. consist of twoS ections each, namely, Section I., Additional Propositions; Section II., Exercises.
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