OF ARTS AND SCIENCES. 151 



diameters of the columns of the Temple at iEgina.* Assuming that 

 this is the true proportion, we correct both diameters, as follows : — 



5.5125 : 7.35 : : 3 : 4. 



The difference between this hypothetical lower diameter and the 

 measured is something less than l-104th part of the whole diameter; 

 a difference that, even if we exclude the probability of an original 

 deviation from the standard, may be naturally accounted for by the 

 weathering of 2,300 years. 



The French plates further give a measure of the breadth of the 

 abacus, 2.610 M. = 8.4667 ft. This, too, should bear a definite pro- 

 portion to the diameters ; and we find the following ratio : — 



5.5125 : 7.35 : 8.575 : : 4.5 : 6 : 7. 



The difference between the measured and the computed abacus is 

 considerable, amounting to 11-lOths of an inch, or about l-84th of the 

 breadth : but it is to be repeated that a single measure is never to be 

 relied upon as giving a standard dimension ; while the abacus, thrown 

 down from the capital, has been peculiarly exposed to injury ; and its 

 edges may well have been considerably worn. 



Dividing the lower diameter by 60, we have the minute or modulus 

 of .1225; of such minutes, the upper diameter contains 45, and the 

 abacus 70. 



Having obtained the diameters of the column, we proceed to use 

 them as data for its height. The relation between them is, as has been 

 seen, as 3:4, and corresponds with the proportions of the columns of 

 the Temple at -3^gina. The height of the latter columns, as measured, 

 is closely equal to five and one quarter times the lower diameter, or to 

 seven times the upper diameter.f Supposing the same proportion to 

 exist here, we have f6r the height of the column 



7.35 X 5.25 = 38.5875. 



* In Plate vii. of Cockerell's work, the diameters of a column of the iEginetan 

 Temple are given as respectively, 3 ft. 3 in. and 2 ft. 5^ in. ; or decimallj' as 3.25 

 and 2.438 : — 



2.4375 : 3.25 : : 3 : 4. 



t The height of the ^Eginetan column (Cookerell, p. 17) is given at 17.19 ft. 



Lower diameter 3.25 X 5.25 = 17.0625 

 Upper „ 2.4375 X 7 = 17.0625 



