OF GEOMETRY, GEOMETRICAL ANALYSIS, AND PLANE TRIGONOMETRY. WITH AN APPENDIX, NOTES AND ILLUSTRATIONS. BY JOHN LESLIE, PROFESSOR OF MATHEMATICS IN THE UNIVERSITY CF EDINBURGH, EDINBURGH: Printed by James Ballantyne and for J. MURRAY, R. SCHOLEY, AND J. MAWMAN, LON- DON; AND J. DEIGHTON, CAMBRIDGE. 1809. PRE FACE. THE HE volume now laid before the public, is the first of a projected Course of Mathematical Science. Many compendiums or elementary treatises have appeared-at different times, and of various merit; but there was still wanting in our language, a work that should embrace the subject in its full extent, that should unite theory with practice, and connect the ancient with the modern discoveries. The magnitude and difficulty of such a faski might deter an individual from the attempt, if he were not deeply impressed with the importance of the undertaking, and felt his exertions to accomplish it animated by zeal and supported by active perseverance. The study of Mathematics holds forth two capital objects :- While it traces the beautiful rela 13 |