Explore the basics of cyclometry and the links between curves and straight-line figures.
This early 19th‑century work presents a clear, elementary look at how circular shapes relate to linear geometry, with practical notes for navigation and measurement.
Written by John Luccock and designed as a beginner’s guide, the volume introduces key definitions and a sequence of propositions that connect the arc, sector, chord, and segment of a circle. It situates these ideas in real uses, such as determining longitude at sea and calculating latitude through celestial observations, while guiding readers through geometric reasoning with diagrams and step-by-step constructions.
- Definitions of sectors, quadrants, arcoids, and circle segments to build a solid vocabulary.
- Geometric relationships that express areas and lengths in clear, visual terms, including how quadrants and lunate segments relate to radius and chords.
- A progression of propositions and corollaries showing how different circle parts combine to form larger areas.
- Notes on practical applications in navigation and measurement, emphasizing the link between theory and life at sea.
Ideal for readers new to geometry, this edition offers a structured path through the basics of circular geometry and its applications in surveying, astronomy, and navigation.