This text is designed for beginners as well as for advanced students of navigation and nautical astronomy. It includes practical exercises, the principal rules and corrections. Complete with practical problems and examples designed for all levels of students, this text will be of much value to those with an interest in astronomy, and makes for a great addition to collections of allied literature. The sections of this text include: Problems on Time, Problems for Determining the Latitude, Problems for Determining the Longitude, Problems for Determining the Variation of the Compass, Corrections in Nautical Astronomy, Proof of Rules in Plane Sailing, et cetera. This book was first published in 1859, and is being republished now complete with a new introduction on the history of astronomy