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THE PUPIL-TEACHER'S COURSE

OF

MATHEMATICS.

PART 1.

LONDON : PRINTED BY SPOTTISWOODE AND co., NEW-STREET SQUARE

AND PARLIAMENT STREET

THE PUPIL-TEACHER'S COURSE

OF

MATHEMATICS.

PART 1

EUCLID, Books I. & II.

WITH

Rotes, Examples, and Explanations.

BY

A LATE FELLOW AND SENIOR MATHEMATICAL LECTURER,
EXAMINER FOR THE OXFORD AND CAMBRIDGE BOARD,

FOR THE CAMBRIDGE SYNDICATE, &c.

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• PREFACE.

I HAVE long thought that a course of Mathematics for Pupil-teachers, covering the ground they are required to traverse, with hints and notes on points at which beginners find a difficulty, is urgently needed. Their course includes the first two books of Euclid, Algebra to the end of quadratic equations, and the mensuration of plane surfaces, and this, the first part of the course, contains two books of Euclid. No doubt there are good editions of Euclid, but in the first place they comprehend several Books and are therefore unnecessarily bulky and expensive for pupil-teachers ; in the second place, the notes and explanations are for the most part adapted to a more advanced class of students (for instance, in Pott's excellent edition), and not full enough for pupil-teachers, who have many other subjects to learn at the close of days devoted to teaching; and again, many of the examples (deductions) are too hard for them and are not graduated sufficiently. I

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