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A GRADUATED COURSE

OF

PROBLEMS IN PRACTICAL PLANE

AND SOLID GEOMETRY,

TOGETHER WITH

MISCELLANEOUS EXERCISES IN PRACTICAL PLANE

AND SOLID GEOMETRY;

ETYMOLOGY OF GEOMETRICAL TERMS, &c. &c.

BY

JAMES MARTIN,

HEAD MASTER OF THE ENDOWED SCHOOL, WEDGWOOD INSTITUTE, BURSLEM.

Author of " Elements of Euclid,” &C.

TH?

LONDON:
GEORGE PHILIP & SON, 32 FLEET STREET;
LIVERPOOL: CAXTON BUILDINGS, SOUTH JOHN STREET,
AND 49 & 51 SOUTH CASTLE STREET.

183.9.58

PREFACE.

The present volume on Practical Geometry will be found to be suitable both for the Art-student and the Art-workman.

It falls into two distinct parts, viz., Plane and Solid.

It will be seen that though the problems in the Plane portion of the work are exceedingly numerous, they are classified in sections.

The definitions which precede the several sections, should be thoroughly mastered by the pupil before entering on the problems.

The diagrams are engraved with extreme care, and as is usual in works on Practical Geometry, three kinds of lines are used, viz., (1) thin lines, representing those which are given; (2) dotted lines, representing those used in the construction of the figure; and (3) thick lines, representing the solution of the problem.

Moreover, the two cardinal ideas, viz., what is given, and what is to be done, are by a typographical expedient shown also in the enunciation.

Respecting the solid portion of the work, it will be found that the problems are carefully graduated, and are also arranged in sections.

In conformity with the usual practice, the base-line is always represented by the letters xy, and the style of lettering uniformly indicates whether a point, line, &c., is in space, in the vertical plane, or in the horizontal.

In order to make the geometrical terms used more instructive, a section on their derivation has been incorporated in the work.

Finally, in order to make the volume complete, it closes with an index of all the problems given in both parts.

JAMES MARTIN.

WEDGWOOD INSTITUTE,

BURSLEM.

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