Each of the other sides is the mean proportional between the hypotenuse and the segment of the hypotenuse adjacent to that side.
The perpendicular is the mean proportional between the segments of the hypotenuse.
Was his confounding two mean proportionals with one mean proportional found twice over a trick of the same intent?
We then find the mean proportional between the length HD and the height of the parallelogram.
Then x - 5 is a mean proportional between x - 9 and x, from which we find that x equals 25.
Lastly, as there is only one mean proportional between each relation, there is also only one good government possible for a State.
In the Pyramid Cheops, altitude is very nearly a mean proportional between apothem and half base.
To find a mean proportional between two given straight lines.
But as both Fire and Earth were solids and not planes, no one mean proportional could be found between them.
Any diameter is a mean proportional between the transverse axis and the focal chord parallel to the diameter.