The Attic Greek earth was cut into 60th (Strabo), 60th of 60th (Herodotus Schoene), 60th of 60th of 60th (Herodotus Stade).
The Stade was 600 feet or 2 minutes march and 10,000 fingers as per its numerical value.
with 12 inch to the foot the earth became
60x60x60x60x60x2 inches
60x60x60x60x2 seconds
60x60x60x2 minutes
60x60x2 hours
300 days travel with 1 second as 60 inches.
60 inches is the basis of the passus or double pace per second of 5 feet.
The Ionic/cycladic Greek earth however had 25 inches to 24 Attic Greek.
This made the earth 312.5 days travel or 100 Pi days.
The relationship between 57.6 and 60 inches occurs due to the radian.
360 / 3.125 (Pi) = 57.6 major inch or 1 passus of 60 minor inch.
The system as a whole interlinks all the major units of measure at the foot level when "squaring the circle" with a 1 foot radius:
8.64 major inch = 9 minor inch = 3 palms = 12 fingers (SPAN)
11.52 major inch = 12 minor inch = 4 palms = 16 fingers (MINOR FOOT)
14.4 major inch = 15 minor inch = 5 palms = 20 fingers (REMEN/PALMIPES)
18.0 major inch = 18.75 minor inch = 6 MAJOR palms = 25 fingers (PYGON/COMMON CUBIT)
20.16 major inch = 21 minor inch = 7 palms = 28 fingers (ROYAL CUBIT)
20.365 major inch = 21.213 minor inch = v2 remen = vPI feet (REMEN ROYAL CUBIT)
The circle has circumfernce 11.52 x 2 x 3.125 = 72 inch fathom
The circle has area 11.52 x 11.52 x 3.125 = 414.72 sq. inch
The square of equivalent area has sides v414.72 = 1 REMEN ROYAL CUBIT
The square of equivalent perimeter has sides 72 / 4 = 1 COMMON CUBIT
The orientation of the area square that squares the circle is dictated by a
3:4:5 triangle using palms. The dimensions in British inch using the polar circle is thus:
Minor measures
18.522mm finger
24.696mm inch
74.088mm palm
222.266mm span/ 3 palm foot - PD SRI
259.310mm major span / 3.5 palm foot - PD AA
296.354mm 4 palm foot - DSR
370.443mm remen/palmipes - RMN
444.532mm 6 palm cubit
518.620mm 7 palm cubit (Herodotus 28 finger cubit)
523.886mm v2 remen or vPI feet royal cubit
592.709mm 8 palm
Major measures
19.294mm finger
25.725mm inch
77.175mm palm
231.527mm span
308.703mm foot (Herodotus 600th stade)
385.878mm pygon
463.054mm common cubit (Herodotus 25 finger common cubit)
540.229mm black cubit
617.405mm 8 palm
Edited 1 time(s). Last edit at 04/04/2006 10:48AM by Mick.