Schlomlich Witzschel (1 results)

Paperback. Condition: New. Print on Demand. This book pioneers an innovative way of understanding conic sections: they are perspective projections of a circle, viewed through a special type of lens. This geometric definition has many advantages over traditional, algebraic definitions. First, it provides a unified treatment of all conic sections: ellipses, parabolas, and hyperbolas. This makes it easier to see their similarities and differences. This definition can generate new theorems and properties with relative ease. The author demonstrates the power of this method by applying it to a variety of problems, including finding the foci and directrices of conic sections, determining the equations of their tangents and asymptotes, and finding the areas of surfaces generated by rotating conic sections around an axis. This book is written with great clarity and rigor, making the material accessible to a wide range of students, from high school students to undergraduates. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…