Geometrical Problems Deducible from the First Six Books of Euclid, Arranged and Solved

BY MILES BLAND, B.D.

FELLOW OF ST. JOHN'S COLLEGE, CAMBRIDGE.

CAMBRIDGE,

Printed by J. Smith, Printer to the University;

AND SOLD BY NICHOLSON & SON, DEIGHTON & SONS, thorpe,

AND NEWBY, Cambridge; AND J. MAWMAN, AND

F. C. & J. RIVINGTON, LONDON.

1819

Library

Randi Seland State callage 3-7-1941

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 9th 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 University. The Reader who wishes for farther information,
is referred to Mr. Woodhouse's treatise, or that of
Cagnoli, to the latter of which are appended extensive
Tables of trigonometrical formulæ.

From this performance the only credit expected is
that of having endeavoured to place principles in a clear
light, and to render a service to the younger students by
setting before them a series of Problems, on the solution
of which they are recommended to exercise their own
ingenuity ; for which purpose a table of Contents has
been prefixed.

To the Syndics of the University Press, who from
the funds which are placed at their disposal, with great
readiness agreed to bear a considerable part of the ex-
pence of printing, most sincere thanks are due; and this
opportunity is taken of gratefully acknowledging the
obligation.