Proposition VIII.26 — Similar plane numbers have to one another the ratio which a …

Proof

By VIII.18 similar plane numbers admit a mean proportional, and the ratio (squares of corresponding sides) is a square-to-square ratio.

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Depends on (2)

VIII.18Proposition VIII.18Between two similar plane numbers there is one mean proportional number, and the plane number has to the plane number…
VII.21Definition VII.21Similar plane and solid numbers are those which have their sides proportional.

Required by (dependents) (1)

IX.1Proposition IX.1If two similar plane numbers by multiplying one another make some number, the product will be square.

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