Proposition VIII.27 — Similar solid numbers have to one another the ratio which a …

Proof

By VIII.19 similar solid numbers admit two mean proportionals, and the ratio is in the triplicate (cube-to-cube) ratio of corresponding sides.

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Depends on (2)

VIII.19Proposition VIII.19Between two similar solid numbers there fall two mean proportional numbers, and the solid number has to the solid…
VII.21Definition VII.21Similar plane and solid numbers are those which have their sides proportional.

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