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DISTRICT OF PENNSYLVANIA, TO WIT:

BE IT REMEMPERED, That on the fourth day of December, LS.

in the thirty-fifth year of the Independence of the United States of America, A.D. 1810,

KIMBER AND CONRAD, of thy said district, have deposited in this office the title of a book, the riglit whereof they claim as proprietors, in the words fullowing, to wit :

Trigononetry, Plane and Spherical; with the Construction and Applica

tion of Logarithms. By Thomas Simpson, F. R. S. With an Appen

dis on Spherical Projections. In conformity to the act of the congress of the United States, entitled, “ An act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned.” And also to the act, entitled, “ An act supplementary to an act, entitled, “ An act for the encouragement of learning, hy securing the copies of maps, charts, and hook to the authors and proprietors of such copies during the vimes therein mentioned,” and extending the benefits thereof to the arts of designing, engraving, and etching luistorical and other prints."

D. CALDIVELL,
Clerk of the District of Pennsylvanica.

PREFACE.

THE work, of which an American edition is now offered to public acceptance, needs no laboured encomium, as it is the production of an author whose peculiar facility in combining the clegance of the profound geometer with the perspicuity of the practical teacher, has justly established his character with the mathematical world.

The tract having been originally designed as an appendix to a treatise on geometry published by the same writer, it was thought expedient to adapt the references to a different work, more generally studied in our schools. They are accordingly suited to Playfair's Geometry, but they will mostly apply to Simson's translation of Euclid's Elements. Some cases, which were omitted by T. Simpson, have been supplied; particularly the use and demonstration of Napier's circular parts.

The appendix, now subjoined, it is hoped, will prove acceptable, and render the work more extensively useful. The propositions are principally ex. tracted from the writings of Emerson ;. but many of the demonstrations are either partly or entirely new.

E. L. Vewgarden, 11 mo. 24, 1810.

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