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The Principles of the Differential and Integral Calculus: And Their Application to Geometry is a mathematical textbook written by Washington McCartney and first published in 1847. The book covers the fundamental concepts and principles of differential and integral calculus, including limits, derivatives, integrals, and their applications to geometry. The author provides clear explanations of the mathematical concepts and presents numerous examples and exercises to help readers understand the material. The book is intended for students of mathematics and science who have a basic understanding of algebra and geometry. It is a valuable resource for anyone seeking to deepen their knowledge of calculus and its applications to geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.