Parts of th Cubit, and rlatd lngths Parts of th cubit, using, φ,, Royal Cubit, Grand MtrM, and roots/squars/cubs All basd on a circl with diamtr 1 mtr In formulas blow, s as bing a lngth of 3.14159... mtrs, not just th numbr pi. Similarly with φ and. Unlss othrwis spcifid, all subdivisions ar in Egyptian units, so on Foot is on Egyptian Foot, tc. M = 1 + = 1 + 6 m Th tabls ar arrangd by mthod to mor clarly show th pattrns involvd in gtting th diffrnt lngths, using basic arithmtic and wll-known irrational constants. I took th masurmnts from Wikipdia's pag on ancint Egyptian masurmnts but think thir masurmnt for th royal cubit is wrong. Thir masurmnts ar similar to this, which is from Th cadastral survy of Egypt 1892-1907 which only gos to thr dcimal placs, and again, I don t lik thir royal cubit masurmnt. Ths masurmnts ar litrally masurmnt basd on various cubit rods, which ar subjct to copying rrors ovr tim as wll as thicknss of pn, brush or chisl usd. Thr is also an altrnativ lngth for th rmn, givn variously as 0.3701 to.3703, I think th ral lngth is 0.3702. Th problm with masuring things is daling with th 4 th dcimal plac (0.0001m which is 1/10th of a millimtr)... a distanc which is lss than th diamtr of a grain of sand.
Basd on M Digit 0.01875 m M 16 φ Palm 0.0750 m M 4 φ Hand 0.0938 m M 9 φ M 100 3 Fist 0.1125 m M 6 φ Doubl Handbradth 0.1500 m M 2 φ 2M 9 φ Small span 0.2250 m M 3 φ Grat span M φ 3 0.01873 m 0.0749 m 0.0751 m 0.0938 m 0.1126 m 0.1499 m 0.1502 m 0.2253 m 0.2616 m Foot 0.3000 m M φ 0.2997 m 4M 9 φ 0.3750 m 5 M 4 φ Cubit (standard) 0.4500 m 3 M 2φ 2M 3 φ Cubit (royal) 2 M φ 3 Pol 0.6000 m 2 M φ M 2 φ Nby-Rod 0.67 0.68 m 4 M 9 0.3003 m 0.3747 m 0.4496 m 0.4505 m 0.5231 m 0.5995 m 0.5989 m 0.6772 m
Basd on φ 2 Digit Palm 0.01875 m 64 φ 2 0.01875 m 0.0750 m 16 φ 2 0.0750 m Hand 0.0938 m 5 64 φ 2 0.0938 m Fist 0.1125 m 9 96φ 2 Doubl Handbradth 0.1500 m 0.1125 m 8 φ 2 0.1500 m Small span 0.2250 m 3 16 φ 2 0.2250 m Grat span φ 2 2 Foot 0.3000 m 4 φ 2 0.3000 m 0.3750 m 5 16 φ 2 0.3750 m Cubit (standard) 0.4500 m 3 8φ 2 0.4500 m Cubit (royal) φ 2 Pol 0.6000 m 0.6000 m 2φ 2 Nby-Rod 0.67 0.68 m 9 16 φ 2 0.6750 m
Basd on φ or φ Digit 0.01875 m 3 φ 224 Palm 0.0750 m 3φ 56 Hand 0.0938 m 15 φ 224 Fist 0.1125 m 18 φ 224 Doubl Handbradth 0.1500 m 3φ 28 Small span 0.2250 m 9φ 56 Grat span 7 φ 50 Foot 0.3000 m 3φ 14 0.3750 m 15 φ 56 =(7+8)φ (7 8) Cubit (standard) 0.4500 m 9φ 28 Cubit (royal) 7 φ 25 Pol 0.6000 m 3φ 7 Nby-Rod 0.67 0.68 m 27 φ 56 0.01875 m 0.0750 m 0.0938 m 0.1125 m 0.1500 m 0.2250 m 0.3000 m 0.3750 m 0.4500 m 0.6000 m 0.6750 m 36 3φ 224 (.g.) 0.6750 m (36 digits)
Basd on ( 2 +φ 2 Digit 0.01875 m 1 16 ( 2 +φ 2 Palm 0.0750 m 1 4 ( 2 +φ 2 Hand 0.0938 m 5 16 ( 2 +φ 2 Fist 0.1125 m 3 8( 2 +φ 2 Doubl Handbradth 0.1500 m 1 2 ( 2 +φ 2 Small span 0.2250 m 3 4 ( 2 +φ 2 Grat span 1φ 2 3 ( 2 +φ 2 Foot 0.3000 m 2 +φ 2 1 0.3750 m 5 4 ( 2 +φ 2 Cubit (standard) 0.4500 m 3 Cubit (royal) 2φ 2 Pol 0.6000 m 2( 2 +φ 2 3 ( 2 +φ 2 2( 2 +φ 2 Nby-Rod 0.67 0.68 m 9 4 ( 2 +φ 2 0.01875 m 0.0750 m 0.09375 m 0.1125 m 0.1500 m 0.2250 m 0.3000 m 0.3750 m 0.4500 m 0.6000 m 0.3750 m
Basd on 2 Digit 0.01875 m 2 24 Palm 0.0750 m 2 6 Hand 0.0938 m 5 2 24 Fist 0.1125 m 2 4 Doubl Handbradth 0.1500 m 2 3 Small span 0.2250 m 2 2 Grat span 2 2φ 2 Foot 0.3000 m 2 2 3 0.3750 m 5 2 6 9 Cubit (standard) 0.4500 m 2 Cubit (royal) 4 2 φ 2 Pol 0.6000 m 4 2 3 Nby-Rod 0.67 0.68 m 3 2 2 9 0.01876 m 0.0750 m 0.0938 m 0.1125 m 0.1501 m 0.2251 m 0.2619 m 0.3001 m 0.3751 m 0.4502 m 0.5238 m 0.6002 m 0.6752 m
Basd on Digits 1 Digit 0.01875 m 7 x 24 = 168 0.0187 m 4 Palm 0.0750 m 7 x 6 = 42 0.0748 m 5 Hand 0.0938 m 5 7 x 24 = 5 168 6 Fist 0.1125 m 8 Doubl Handbradth 0.1500 m 12 Small span 0.2250 m 14 Grat span 7 x 4 = 28 7 x 3 = 21 7 x 2 = 14 6 x 2 = 12 16 Foot 0.3000 m 2 7 x 3 = 2 21 6 2 20 0.3750 m 5 7 x 6 = 5 42 24 Cubit (standard) 0.4500 m 7 28 Cubit (royal) 6 0.0935 m 0.1122 m 0.1496 m 0.2244 m 0.2992 m 0.3702 m 0.3740 m 0.4488 m 32 Pol 0.6000 m 4 7 x 3 = 4 21 36 Nby-Rod 0.67 0.68 m 3 7 x 2 = 3 14 0.5984 m 0.6732 m
Basd on 2 Digit 0.01875 m 120 2 0. 0185 m Palm 0.0750 m 30 2 0.7405 m Hand 0.0938 m 24 2 0.0926 m Fist 0.1125 m 20 2 0.1111 m Doubl Handbradth 0.1500 m 15 2 0.1481 m Small span 0.2250 m 10 2 0.2221 m Grat span 2 18 2 = 2 36 = 12 Foot 0.3000 m 2 15 2 6 2 0.2962 m 0.3702 m 0.3750 m 0. m Cubit (standard) 0.4500 m 5 2 0.4443 m Cubit (royal) 18 2 = 36 = 6 Pol 0.6000 m 4 15 2 Nby-Rod 0.67 0.68 m 3 10 2 0.5924 m 0.6664 m
Assortd Grat span = half Royal Cubit 2 12 5 Foot 0.3000 m 3 3 3 5 6 φ 2 0.2999 m 12 3 3 0.3703 2 6 2 Cubit (royal) 7φ 25 2 6 0.3000 m 0.3702 m 0.3702 m 0.3702 m 1 5 ( 7 5 ) 2 φ 8.4 ( 1+ 1 ) φ 2 5 Pol 0.6000 m = 2 Foot 2 3 3 3 5 6 φ 2 0.5997 m 6 3 3 0.5999 m Nby-Rod 0.67 0.68 m Foot x φ 0.6764 m Cubit x Grand mtr M 1.5326 m 1+ 6 2 φ 3 0.6764 m 1.5236 m (1+) 1.5236 m
1 mtr 1.0000 m 5φ 7 4 Ft 1.2000 m φ 2? 1.3000 m 2 +φ 2 7 Wroft 1.4000 m φ English foot 0.3048 m M 5 1.524 5 1.000 m 1.2000 m 1.3000 m 1.4000 m 03047 m 0.3048 m Fiv English ft 60 = 1.5240 m 1 + =M 1.5236 m 6 Prsian foot 0.32004 m M ( + φ) Doric ordr foot ±0.324 m 6 φ = φ 2 φ 4 Luwian foot ±0.323 m 6 ϕ = ϕ Attic foot 0.3084 m M 16 Minoan foot +-0.304 m M 5 Athnian foot ±0.315 m 10 Phonician foot 0.3000 m 4 φ 2 =? 3φ 14 Mgalithic yard 0.8275 m rmn x root(5) 0.32011 m 0.3236 m 0.3241 m 0.3236 m 0.3086m? 0.3047 m 0.3142 m 0.3000 m Nautical mil 1852 m (currntly) 100 φ ( 1 ) 2 1854.1 m 100 φ ( 1 0.524 ) 2 1851.3 m 3600φ 5040 = 7! 1854.1 m 1854.1 m