translate a proposition in your own understanding

Below is a proposition from Book 7 of Thomas Heath’s translation of Euclid’s Elements. I would
like you to write a 3-page essay reviewing this proposition for your classmates. Your essay should
follow the outline below.
• State which of the propositions from Book 7 you are writing about.
• Explain the proposition statement. Note any differences between Euclid’s conception and
• Provide an example application of the theorem.
• Explain Euclid’s proof of the proposition.
• Discuss any points of confusion or opacity in Euclid’s proof that may lead to doubt about its
• Complete your essay by contrasting the differences between our modern style and Euclid’s
style. The proposition is attached. The essay will be checked through