**Euclid and His Twentieth Century Rivals**

by Nathaniel Miller

2007**Number of pages**: 124

**Description**:

Nathaniel Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system.

Download or read it online for free here:

**Download link**

(950KB, PDF)

## Similar books

**A Course of Pure Geometry: Properties of the Conic Sections**

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.

(

**9139**views)

**A. N. Whitehead's Geometric Algebra**

by

**Stephen Blake**

This is a text on 3-d Euclidean computational geometry intended to be used in engineering applications. On the other hand, the methods of Whitehead's algebra enable us to readily deal with Euclidean and non-Euclidean spaces of any dimension.

(

**12529**views)

**Advanced Geometry for High Schools: Synthetic and Analytical**

by

**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.

(

**7086**views)

**Mathematical Illustrations: A Manual of Geometry and PostScript**

by

**Bill Casselman**-

**Cambridge University Press**

The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.

(

**17537**views)