Explore how geometry meets limits in this classic text.
This book uses the idea of limits to define irrational numbers and to relate measurements like areas and volumes to geometric shapes. It blends theory with practical problems, showing how sequences can pin down exact values through geometry.
In its pages you’ll find a structured path from the basics of limits to the shapes you can build and measure. The book treats the areas and volumes of cylinders, cones, and spheres, and it develops principles that connect plane and solid geometry. It also introduces regular and related polyhedra with construction ideas and their volumes and surfaces.
- How limits define irrational numbers and two ways to view a ratio.
- The Cavalieri principle and its use in proving area and volume results for solids.
- Guided problems on pyramids, cones, cylinders, and spheres, with step‑by‑step solutions.
Ideal for readers of geometry, this edition suits students seeking a clear, applied treatment of theory and problems in solids and their measurements.