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adapt it to meet the wants of academies and high schools, without in any way impairing its value as a college book.

The original design of the work was to bring the methods of Bourdon within the reach of those who had not the time, perhaps not the inclination, to study the more extended and complete work of that eminent algebraist. In the present edition no attempt has been made to modify that plan; on the contrary it is believed that every change made has been in the direction of a closer resemblance to the great work whose spirit it would aspire to imitate.

NEW YORK, June 17, 1875.

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