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revised by his colleague. And with the same care has every Theorem in the Work been demonstrated.

With each of the more difficult questions a hint will be given, by the aid of which it is presumed the Student may complete the solution. This will be found especially of service to such Students as are without Tutors.

Those subjects which chiefly occupy the time of Mathematical Students in the Naval and Military Colleges have received especial attention from the Authors. The greatest care has been used in stating the questions so as to render them easily understood. Those problems which in their enunciation and solution bespeak a refined analytical generalization, have been simplified to render them more generally useful, or have been altogether excluded. The chief object has been to supply the greatest number of useful questions solvable by the greatest number of attentive Students.

May 17th, 1845.

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