The Original Drawings:
Mercury Venus Earth Mars

OA=1.000000...mean radial orbital distance, Mercury

 OB=1.596570733...Venus^.75 (or (sqrt Venus)^1.5)

OC=1.6077266534...Earth^.5

OD=1.866025404...Venus mean radial orbital distance

OD'=1.931851653...sqrt, Diameter of Venus' orbit

OE=2.037660624...Earth^.75

OF=2.583305712...Earth mean radial distance

OG=3.963458043...Mars mean radial distance
(can be expressed as OE times 2 cosine15 degrees)

Distance ^1.5 is time of orbit, and distance ^.75 is sqrt time of orbit, which in this case is the geometric average of the times of orbit of Mercury and the Earth.

The formula relating the Earth and Mars is distance Earth^.75 (times) .5(sqrt 6 + sqrt 2), or 1.931851653. This number is also 2 cosine 15. It is also the square root of the diameter of orbit of Venus. (Diameter Venus = 2 times 1.866025404, or 3.732050808.)