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M A NU AL

OF

GEOMETRY

AND

CONIC SECTIONS,

WITH APPLICATIONS TO

TRIGONOMETRY AND MENSURATION.

BY

WILLIAM G. PECK, LL.D.,

PROFESSOR OF MATHEMATICS AND ASTRONOMY IN COLUMBIA COLLEGE, AND OF

MECHANICS IN THE SCHOOL OF MINES.

A. S. BARNES & COMPANY,
NEW YORK, CHICAGO AND NEW ORLEANS.

1876.

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1.–First Lesson in Numbers.
II.-Manual of Practical Arithmetic.
III.-Complete Arithmetic.
IV.-Manual of Algebra.
V.-Manual of Geometry and Conic Sections.
VI.-Treatise on Analytical Geometry.
VII.-Differential and Integral Calculus.
VIII.-Elementary Mechanics (without the Calculus).

IX.-Elements of Mechanics (with the Calculus).

NOTE.Teachers and others discovering errors in any of the above works will confer a favor by communicating them to us.

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PREFACE.

IN completing the last volume of the condensed course

of Mathematics, the author deems it proper to say a few words in explanation of the general plan of the series.

There is a growing belief among educators that our textbooks contain a great deal of matter which is not essential, either to continuity or to completeness, and that they are to this extent overcrowded and unnecessarily voluminous. The desire for condensed, but not emasculated, books is well expressed by an eminent authority in educational matters who says: “Small text-books, containing only the essentials of the subjects treated of-only those parts that have life in them, parts that cannot be eliminated without leaving the subjects imperfect-are rare.

Such books we must have, if we use text-books at all.” The demand for small and complete books comes from every department of instruction, but from none more emphatically, than from that of Mathematics. The present series is designed to meet this demand by furnishing a set of books, embracing within moderate limits every mathematical principle necessary to the fullest academic, or technical

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