Exploring advanced Euclidean geometry with GeoGebra / Gerard A. Venema.

Format:

Book

Author/Creator:

Venema, Gerard, author.

Series:

Classroom Resource Materials.

Classroom Resource Materials

Language:

English

Subjects (All):

GeoGebra.

Geometry--Textbooks.

Geometry.

Physical Description:

1 online resource (xv, 129 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Washington : Mathematical Association of America, 2013.

Language Note:

English

Summary:

Exploring Advanced Euclidean Geometry with GeoGebra provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincaré disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a standalone introduction to advanced topics in Euclidean geometry.

Contents:

A quick review of elementary Euclidean geometry

The elements of geogebra

The classical triangle centers

Advanced techniques in geogebra

Circumscribed, inscribed, and escribed circles

The medial and orthic triangles

Quadrilaterals

The nine-point circle

Ceva's theorem

The theorem of Menelaus

Circles and lines

Applications of the theorem of Menelaus

Additional topics in triangle geometry

Inversions in circles

The Poincaré disk.

Notes:

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61444-111-1

OCLC:

939263609