Geometry of Four Dimensions
by Parker Manning Henry
Publisher: The MacMillan Company 1914
Number of pages: 378
Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; Perpendicularity And Simple Angles; Angles Of Two Planes And Angles Of Higher Order; Symmetry, Order, And Motion; Euclidian Geometry; Figures With Parallel Elements; Measurement Of Volume And Hypervolume In Hyperspace; The Regular Polyhedroids; The Polyhedroid Formula;
Home page url
Download or read it online for free here:
by E.H. Askwith - Cambridge University Press
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
by David Ramsay Hay - W. Blackwood and sons
From the table of contents: Nature of the science of aesthetics explained; Plane figures the bases of all forms; The isosceles triangle; Universal application of the composite ellipse in the arts of ornamental design; and more.
by Paul Yiu - Florida Atlantic University
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
by 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.