Page:Arrian's Voyage Round the Euxine Sea Translated.djvu/197

TABLE I.

Table of the proportion which Greek Studia bear to Greek Miles, to Englſh Miles, and to Englgiſh Feet.

Greek Stadia.		Greek Mileſand decimal parts.	Engliſh Miles and decimal parts.	Engliſh Feet and decimal parts.
1	equal to	0.125	0.114465	604.374[1]
2		0.250	0.228930	1208.748
3		0.375	0.343395	1813.122
4		0.500	0.457860	2417.496
5		0.625	0.572325	3021.870
6		0.750	0.686790	3626.244
7		0.875	0.801255	4230.618
8		1.000	915720	4834.992
9		1.125	1.030185	5439.366
10		1.250	1.144650	6043.747
11		1.375	1.259115	6648.114
12		1.500	1.373570	7252.488
13		1.625	1.488025	7856.862
14		1.750	11.602490	3461.236
15		1.375	11.716955	9065.510
16		2.000	11.831410	9669.984
17		2.125	1.945875	10274.358
18		2.250	2.06034	10878.732
19		2.375	2.174805	11483.106
20		2.500	2.289300	12087.480
21		2.625	2.40376	12691.854
22		2.750	2.518230	13296.228
23		2.875	2.632695	13900.602
24		3.000	2.747150	14504.976
25		3.125	2.861615	15109.250
26		3.258	2.976070	15713.724
27		3.375	3.090535	16318.098
28		3.500	3.205000	16922.472
29		3.625	3.319465	17526.846
30		3.750	3.43395	18131.220
31		3.375	3.543415	18735.594
32		4.000	3.66288	19339.968

1. The length of the Greek ſtadium, expreſſed as here laid down in Engliſh feet, is correct according to the numbers given by Mr. Greaves, who has employed only two places of decimal figures. If we extend theſe to ſix figures, (and it may be done indefinitely,) the proportion will be as below ſtated.

   34: 25:: 967: 1007.291666
   Again, 1007.491666 x 12 ÷ 1000 =12.087509992
   Again, 12087509992 x 600 = 72525059952
   Again, 7252.25059952 ÷ 12 = 604.3754933

   which differs from the calculation uſed in the Tables leſſ than .018 decimals of an inch, or conſiderably leſſ than 1/50 part of an inch in the extent of a ſtadium.