Parts of the Cubit, and related lengths

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Charlotte Goodman
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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.

1 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 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 + = 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 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 to.3703, I think th ral lngth is 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.

2 Basd on M 1 Digit m M 16 φ 4 Palm m M 4 φ 5 Hand m M 9 φ M Fist m M 6 φ m M 2 φ 2M 9 φ 12 Small span m M 3 φ 14 Grat span M φ m m m m m m m m m 16 Foot m M φ m 4M 9 φ m 5 M 4 φ 24 Cubit (standard) m 3 M 2φ 2M 3 φ Cubit (royal) 2 M φ 3 32 Pol m 2 M φ M 2 φ 36 Nby-Rod m 4 M 9 64 Doubl pol m 4 M φ m m m m m m m m m

3 Basd on φ 2 1 Digit m 1 64 φ m 4 Palm m 4 64 φ m 5 Hand m 5 64 φ m 6 Fist m 6 64 φ m m 8 64 φ m 12 Small span m φ m Grat span φ [Grat span m φ m] 16 Foot m φ m φ m φ m 24 Cubit (standard) m φ m Cubit (royal) φ 2 28 [Cubit (royal) m φ m] 32 Pol m φ m 36 Nby-Rod m φ m 64 Doubl pol m φ m

4 Basd on φ or φ 1 Digit m 3 φ 224 = 1 3φ m Palm m 3φ 56 = 4 3φ m 5 Hand m 15 φ 224 = 5 3 φ m 6 Fist m 18 φ 224 = 6 3φ m m 3φ 28 = 8 3φ m 12 Small span m 9φ 56 = 12 3 φ m Grat span 7 φ Grat span m 3φ 3φ m = Foot m 3 φ 3φ m = m 15 φ 3φ m = Cubit (standard) m 9φ 3φ m = Cubit (royal) 7 φ [Cubit (royal) φ 3φ m] = Pol m 3 φ 3φ m = Nby-Rod m 27 φ 3φ m = Doubl pol m 6 φ 7 = 64 3φ m

5 Basd on ( 2 +φ 2 1) 1 Digit m 1 16 ( 2 +φ 2 1) m 4 Palm m 4 16 ( 2 +φ 2 1) m 5 Hand m 5 16 ( 2 +φ 2 1) m 6 Fist m 6 16 ( 2 +φ 2 1) m m 8 16 ( 2 +φ 2 1) m 12 Small span m ( 2 +φ 2 1) m 14 Grat span 1φ 2 3 ( 2 +φ Foot m ( 2 +φ 2 1) m m ( 2 +φ 2 1) m 24 Cubit (standard) m ( 2 +φ 2 1) m Cubit (royal) 2φ 2 3 ( 2 +φ 2 28 [Cubit (royal) m ( 2 +φ m] 1) 32 Pol m ( 2 +φ 2 1) m 36 Nby-Rod m ( 2 +φ 2 1) m 64 Doubl pol m ( 2 +φ 2 1) m

6 Basd on 2 1 Digit m Palm m Hand m Fist m m Small span m Grat span 2 2φ m Foot m m Cubit (standard) m Cubit (royal) 4 2 φ m Pol m Nby-Rod m Doubl pol m m m m m m m m m m m m m m m m m

7 Basd on or Digits Lngth Valu Formula Formula Valu 1 Digit m 168 = m Palm m 7 x 6 = 42 5 Hand m Fist m = m 7 x 3 = Small span m = Grat span = Foot m = m = Cubit (standard) m = 7 28 Cubit (royal) = 6 32 Pol m = Nby-Rod m = Doubl pol m = m m m m m m m m m m m m

8 Basd on 2 1 Digit m m 4 Palm m m 5 Hand m m 6 Fist m m m m 12 Small span m m Grat span = 2 36 = Foot m m 24 Cubit (standard) m Cubit (royal) 32 Pol m Nby-Rod m Doubl pol m = 36 = m m m m m

9 Basd on Digit m Palm m Hand m Fist m m Small span m 12 Grat span m Foot m m Cubit (standard) m 24 Cubit (royal) m m m m m m m m m m m Pol m Nby-Rod m Doubl pol m m m m m

10 Assortd Lngth Valu Formula Valu Grat span = half Royal Cubit Foot m φ m Cubit (royal) 7φ m 1 5 ( 7 5 ) 2 φ 8.4 ( 1+ 1 ) φ 2 5 Pol m = 2 Foot φ m m Nby-Rod m Foot x φ m Cubit x Grand mtr M m φ m m (1+) m

11 Lngth Valu Formula Valu 1 mtr m 5φ 7 = 10φ 7 4 Ft m φ 2? m 2 +φ 2 7 Wroft m φ English inch m digit x /2 English foot m M (6 x28) m m m m m m m Fiv English ft 60 = m 1 + =M m 6 Prsian foot m M ( + φ) Doric ordr foot ±0.324 m 6 φ = φ 2φ 4 Luwian foot ±0.323 m 6 ϕ = ϕ Attic foot m M 16 Minoan foot m M 5 Athnian foot ±0.315 m 10 Phonician foot m 4φ 2 =? 3φ m m m m m? m m m Mgalithic yard m rmn x root(5) m Nautical mil 1852 m (currntly) 100 φ ( 1 ) m 100 φ ( ) m 3600 φ 5040 = 7! m m

Parts of the Cubit, and related lengths

Parts of the Cubit, and related lengths 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...