AN EASY INTRODUCTION TO THE MATHEMATICS; IN WHICH THE THEORY AND PRACTICE ARE LAID DOWN AND FAMILIARLY EXPLAINED. To each subject are prefixed, A BRIEF POPULAR HISTORY OF ITS RISE AND PROGRESS, CONCISE MEMOIRS The whole forming A COMPLETE AND EASY SYSTEM OF ELEMENTARY INSTRUCTION IN THE LEADING BRANCHES OF THE MATHEMATICS; Adapted to the use of SCHOOLS, JUNIOR STUDENTS AT THE UNIVERSITIES, AND PRIVATE ESPECIALLY THOSE WHO STUDY WITHOUT A TUTOR. IN TWO VOLUMES. BY CHARLES BUTLER. Πάντ ̓ ἐσὶν ἐξευρεῖν, ἐὰν μὴ τὸν πόνον φεύγῃ τις, ὃς πρόσεςι τοῖς ζητεμένοις. ΦΙΛΗΜΩΝ. Shake off your ease, and send your name To immortality and fame, By ev'ry hour that flies. VOL. II. WATTS. OXFORD: AND SOLD BY LONGMAN, HURST, REES, ORME, AND BROWN, PATERNOSTER ROW, PRINTED BY BARTLETT AND NEWMAN; LONDON; PARKER, OXFORD; AND DEIGHTON, CAMBRIDGE. CONTENTS. PAGE SIMPLE INTEREST, its Rules investigated and applied THE DOCTRINE OF RATIOS. Continued Fractions PROPORTION, Direct. Problems in Geometrical Progression COMPOUND INTEREST, its Rules investigated and applied are most generally useful Of Geometry considered as the Science of Demon- An Appendix to the above six Books of Euclid . . 314 PRACTICAL GEOMETRY, exemplifying and applying Euclid's Theory; the Use of the Mathematical Instru- 359 The Mensuration of a great variety of plane and On the new (French) Division of the Quadrant (note) 367 Method of constructing Tables of Logarithmical The fundamental Theorems of Plane Trigonometry 400 |