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Practical Astronomy and Geodesy, Volume 5, by John Narrien, is a comprehensive treatise intended for use at the Royal Military College. Originally published in 1845, this enduring work provides a detailed exposition of practical astronomy and geodesy, incorporating projections of the sphere and spherical trigonometry. The book serves as an invaluable resource for students and practitioners in fields such as military science, surveying, and mathematical geography. Narrien’s methodical approach covers essential principles and practical applications, making it suitable both as an educational text and a reference work. The inclusion of spherical trigonometry emphasizes its relevance to geodetic calculations and astronomical observations, offering readers a robust foundation in these interconnected scientific domains.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.