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Late of the Royal Laboratory Department, Woolwich,

Professor of Mathematical Drawing to the principal establishments for preparing Cadets for the Royal Military Colleges of Sandhurst, Woolwich, and Addiscombe; and Lecturer on Geometry and Natural Philosophy to the London Institutions, and on Gunnery, Projectiles, and Mechanics to the Royal Artillery.

DEDICATED BY EXPRESS PERMISSION TO

H. R. H. PRINCE ALBERT.

SECOND EDITION, REVISED AND CORRECTED.

LONDON:

SIMPKIN AND MARSHALL, STATIONERS' COURT;

RELFE & FLETCHER, CLOAK LANE; ROWNEY, DILLON, & ROWNEY, RATHBONE PLACE; AND SOLD BY ALL BOOKSELLERS.

1846/1312

James Black, Powis Street, Woolwich.

Entered at Stationers' Hall.

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THE first edition of the present work, consisting of fifteen hundred copies, having been disposed of before this went to press, and a second edition being loudly called for in many respectable quarters, it is presumed that the efforts of the Author to satisfy the public have been successful.

The work, originally, was designed as a class book for a very numerous, intelligent, and influential body of persons-the members of Mechanics' Institutions; and, to their honour be it spoken, that upon the manuscript being submitted to the notice of Prince Albert, His Royal Highness was graciously pleased to signify his permission that the work should be dedicated to himself.

The Author has had the pleasure and advantage of knowing that his little book has been introduced into the principal Mathematical Establishments of this country, including those specially designed for the in

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