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PROBLEMS

DEDUCIBLE

FROM THE FIRST SIX BOOKS OF EUCLID,

ARRANGED AND SOLVED:

TO WHICH IS ADDED

AN APPENDIX

CONTAINING THE ELEMENTS OF

Plane Trigonometry.

FOR THE USE OF THE YOUNGER STUDENTS.

By MILES BLAND, B.D.

FELLOW OF ST. JOHN'S COLLEGE, CAMBRIDGE.

CAMBRID

Printed by J. Smith, Printer to the University;
AND SOLD BY NICHOLSON & sox, DEIGHTON & SONS, THORPE,
AND NEWBY, CAMBRIDGE ; AND J, MAWMAN, AND

F. C. & J. RIVINGTON, LONDON.

1819

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ADVERTISEMENT.

The following pages contain a collection of Problems, which are for the most part an easy application of the Elements of Euclid. They are arranged in what seemed to be the most natural order : The 1st section comprises such as contain the properties of straight lines and angles; the 2nd straight lines and circles : the 3rd straight lines and triangles ; and the 4th parallelograms, squares and polygons. The 5th section contains those which require lines to be drawn in certain directions, but which involve properties of rectangles or squares, or such others as were excluded from the three first. The 6th comprises those by which figures are described, and also inscribed in or circumscribed about each other. The 7th comprehends such as contain the properties of triangles described in or about circles; the 8th those which contain the squares or rectangles of lines connected with circles ; and the oth the construction of triangles. To these is added an Appendix, intended to contain so much of the Elements of Plane Trigonometry, as is necessary, for understanding those parts of Natural Philosophy which are the common subjects of Lectures in the Uni

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