Exploring Advanced Euclidean Geometry with GeoGebra

Gerard A. Venema

doi:10.5948/9781614441113

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Exploring Advanced Euclidean Geometry with GeoGebra

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-vi

Preface
pp vii-xii

Contents
pp xiii-xvi

0 - A Quick Review of Elementary Euclidean Geometry
pp 1-12

1 - The Elements of GeoGebra
pp 13-22

2 - The Classical Triangle Centers
pp 23-30

3 - Advanced Techniques in GeoGebra
pp 31-38

4 - Circumscribed, Inscribed, and Escribed Circles
pp 39-46

5 - The Medial and Orthic Triangles
pp 47-52

6 - Quadrilaterals
pp 53-56

7 - The Nine-Point Circle
pp 57-62

8 - Ceva's Theorem
pp 63-76

9 - The Theorem of Menelaus
pp 77-80

10 - Circles and Lines
pp 81-84

11 - Applications of the Theorem of Menelaus
pp 85-98

12 - Additional Topics in Triangle Geometry
pp 99-104

13 - Inversions in Circles
pp 105-110

14 - The Poincaré Disk
pp 111-120

References
pp 121-122

Index
pp 123-127

About the Author
pp 128-129

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Exploring Advanced Euclidean Geometry with GeoGebra

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information