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Proposition: Prop. 11.27: Construction of Parallelepiped Similar to Given Parallelepiped

Euclid's Formulation

To describe a parallelepipedal solid similar, and similarly laid out, to a given parallelepipedal solid on a given straight line.

• Let the given straight line be $AB$, and the given parallelepipedal solid $CD$.
• So, it is necessary to describe a parallelepipedal solid similar, and similarly laid out, to the given parallelepipedal solid $CD$ on the given straight line $AB$.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

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References

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016