The role of diagrams in geometry

Completed
Friday, January 16th, 2026
11:00AM  PT
12:00PM MT
1:00PM CT
2:00PM ET
PRESENTED BY: Nathaniel Miller


The role of diagrams in geometric proofs has often been misunderstood, with many authors saying that diagrams should properly have no role in correct proofs. However, diagrams can be correctly used in geometric proofs as long as the rules that govern their use are understood. In this talk, I will discuss my work creating a sound diagrammatic formal system for giving proofs in Euclidean geometry, and the implications of this system for what we say about diagrams and proof in our GeT courses. I will also discuss the computer implementation of this formal system, CDEG (“Computerized Diagramattic Euclidean Geometry”), which is a Digital Proof Tool for giving fully diagrammatic proofs in Euclidean geometry. This talk should be of significant interest to any members of the GeT community who are interested in teaching about how to use diagrams correctly in proofs, who are interested in the use of Digital Proof Tools, and/or are interested in the axiomatic foundations of geometry.


Registration:
Registration is closed
Duration:
60 minutes
Format:
Online seminar via Zoom web meeting software with questions and discussion. Detailed instructions for joining the seminar will be emailed to registered participants.

Presenter(s):
Nathaniel Miller
I am the leader of the working group that wrote the SLOs.

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