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Proposition·Untested·2605.00009

Proposition XI.38

If the sides of the opposite planes of a cube be bisected, and planes be carried through the points of section, the common section of the planes and the diameter of the cube bisect one another.

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Proof

By symmetry of the cube under the half-turns about the centre; the diagonal and the median plane both pass through the centre.

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Full neighborhood

Depends on (3)

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Proposition XI.38 — If the sides of the opposite planes of a cube be bisected, a… — rrxiv