Course: Classical Geometry

This course is still in development. We apologize for the inconvenience. Please find an alternate course from ADA or from another source. Thank you!

Course description:

Would you like your child to really, really be able to think clearly?   Please read on - this course may be for you.

This course consiss of two sub-courses which cover what is perhaps the greatest mathematical and logic work ever written, Euclid's Elements of Geometry.  While modern geometry books come and go, Euclid's Elements of Geometry, written over 2,500 years ago, has remained an astounding classic ever since.

We believe there is no course in our curriculum more powerful and effective in forming the student's thinking skills than Euclid's Elements (also known as Euclidean geometry).  In fact, Euclid's presentation of geometry as a science is the clearest and most perfect example of a science we have ever seen.  He begins with only a small set of simple tools like basic definitions and postulates and from these builds a beautiful structure of proofs.  It is hard to know what to enjoy more - the truths he proves, or the methods of his science. 

Euclidean geometry was the standard text in high school geometry until about 1900, when education became much more modern and inferior.    We strongly encourage you to consider having your child take this course instead of our modern geometry course.   We way this not because our modern geometry course is poorly written or presented, but simply because no geometry presentation can compete with the beauty or match the benefits to the student's mind that Euclidean geometry provides.   WARNING:  This course is not for every student.  If your child likes a challenge, loves to learn, and is not afraid of hard work, this course is probably for him.  If however, any of those qualities lack, we recommend instead our modern geometry course.   If you are not sure which way to go, you could enroll him in Part One of this course.  If he enjoys it, move on to Part Two for the second semester.  If it does not work out, you can cancel this course and we will refund your course fees if done within the two months of enrollment - that is how much we try to get students to take this course.   The student could then switch to modern geometry.

Our modern geometry course is in keeping with modern education in general - problem solving and applications of formulas to real world situations.  This is a fine thing, but such skills are far inferior to what Euclid does here: to form the mind by careful science, theory, thinking, and knowledge itself.

Course fee:

$ 100

Course Length (in weeks):


Book(s) used:

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Textbook: Euclid’s Elements


Author: Euclid; edited by Dana Densmore; translation


Publisher's Description:

Green Lion Press has prepared a new one-volume edition of T.L. Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.

Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature.

Green Lion Press has excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

7 x 10", 527 pages, including a new index and glossary of Euclid's Greek terms. Publication date, August 2002.

ISBN: 9781637940891

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Exercise Manual: Exercises Manual for Euclid’s Elements


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