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How to Read Book 1 of Euclid's Elements

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Grade Levels
Not Grade Specific
Standards
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  • Word Document File
Pages
2 pages
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Description

If you are a Geometry teacher, a parent who is homeschooling your child and using a classical curriculum, or an educator who is using a Great Books curriculum, this will be a useful handout to your student(s). It is a guide on how to read the first book of Euclid's "Elements". It explains the section on definitions, postulates, common notions, and also explains the general structure of the propositions.

P.S. The geometry standards listed to this document are not directly covered in the document. They are covered in Euclid's Elements however.

Total Pages
2 pages
Answer Key
N/A
Teaching Duration
30 minutes
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Standards

to see state-specific standards (only available in the US).
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Prove theorems about lines and angles.
Prove theorems about triangles.

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