152 PROCEEDINGS OP THE AMERICAN ACADEMY 



Stated in minutes, the height of the column is GO' X 5.25 = 315'; 

 and it will be noticed that this is exactly three times the sum of the 

 upper and lower diameters, 45' -|- 60' = 105' X 3 = 315.' 



Having thus obtained a probable height for the column, we have, if 

 possible, to determine that of the whole building. Mr. Lloyd has 

 pointed out the fact, that, in the best architectural works of Greece 

 proper, it was the rule that the height of the column should exceed 

 one-half the height of the building, and that the excess should be 

 equal to one part on a scale by which the whole height of the building 

 was divided into a small uneven number of parts.* 



Thus, in the Theseium, the height of the column is 5-9ths of the 

 total height ; at Bassa3, the proportion is as 7 : 13 ; in the Parthenon, 

 as 10 : 19. 



Upon trial, it appears that, assuming the height of the columns to 

 be 3-5ths of the height of the building, we obtain a height for the 

 Temple whicii corresponds proportionately with its measured length and 

 breadth. t 



The following table shows the proportions, using the sum of the 

 diameters as a common measure: — 



12.8625 X 3 = 38.5875 height of column. 



„ X 5 = 64.3125 height of Temple. 



„ X 7 = 90.0375 breadth of Temple.^: 



X IG = 205.80 length of Temple. 



These hypothetical dimensions of breadth and length correspond, as 

 closely as can be required, with the measured dimensions : — 



Breadth, as measured by French exp., 90.0196; hypothetical, 90.0375 



„ „ „ German „ 89.40 



Length „ „ French „ 206.70449 



„ „ „ German „ 205.82863 ; hypothetical, 205.80 



* "Expressed more technically, the height of the column compares with the 

 complementary lieight of tlie front, as the larger term of a super-particuhir 

 ratio, — a ratio, that is, of which the terms differ by unity." — Lloyd, Memoir, 

 p. 66. 



t This is not far from tlie proportion of the Theseium ; | : | : : | ». : |7. 



J The breadtli of tlie abacus is often found to be a measure of the breadth 

 of the temple. In the Theseium, the abacus measures l-r2th of the front ; in the 

 Temple at ^Egina, it is 1-llth; in the Temple at Corinth, it seems to have 

 been 1-lOth ; and in the Temple at Olympia, we find it 1-10|. 

 8.575 X 10.5 = 90.0375. 



