A Course of Pure Geometry: Properties of the Conic Sections
by E.H. Askwith
Publisher: Cambridge University Press 1917
ISBN/ASIN: 111234893X
Number of pages: 314
Description:
The book does not assume any previous knowledge of the Conic Sections, which are here treated ab initio, on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections which can only be established with great labour from their focus and directrix property are proved quite simply when the curves are derived directly from the circle.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
Advanced Geometry for High Schools: Synthetic and Analyticalby A.H. McDougall - Copp, Clark
Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.
(11790 views)
Euclid and His Twentieth Century Rivalsby Nathaniel Miller
Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system.
(5118 views)
Geometry and Billiardsby Serge Tabachnikov
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods are tested.
(18943 views)
The Modern Geometry of the Triangleby William Gallatly - F. Hodgson
The author expresses his expectation, that these novel and interesting theorems some British, but the greater part derived from French and German sources will widen the outlook of our mathematical instructors and lend new vigour to their teaching.
(7377 views)