Posts tagged 'solid-number'

G.318 similar plane and solid numbers

Similar plane and solid numbers are those which have their sides:term:proportional <G.180>.

G.320 square and cube numbers

And, when three:term:numbers <G.248> having:term:multiplied <G.269> one another make some number, the number so produced is:term:**solid** <solid-number>, and its:term:**sides** <side-of-number> are the numbers which have multiplied one another.

G.321 similar solid numbers

Between two similar solid numbers there fall two mean proportional numbers; and the solid number has to the similar solid number the ratio triplicate of that which the corresponding side has to the corresponding side.

G.323 mean proportional numbers

If two mean proportional numbers fall between two numbers, the numbers are similar solid numbers.

G.329 similar solid numbers

Similar solid numbers have to one another the ratio which a cube number has to a cube number.