820 
MR. F. C. PENROSE ON THE RESULTS OF AN EXAMINATION 
to other temples of the same deity) it becomes necessary to find for it exact places 
for several epochs by the formulse proper for processional movement, and then it 
sufiices to draw upon paper curves passing through the places so found ; from which 
curves those due to intermediate dates may be taken with sufficient accuracy. This 
has been done on the following figure which represents the processional movements of 
a Arietis. 
In this diagram, years B.c. are measured horizontally from left to right. The R.A. 
and declination measure vertically. 
Let now the hour angle of the star be taken with the approximate dechnation as 
stated above, + 7° 40', and let also that of the Sun be computed, combining its 
declination of + 6° 52' 22" with an assumed depression below the horizon which on 
trial may be reasonably taken at 12°, as the star, though a bright one, is not of the 
first magnitude, and the horizon is comparatively low. When the difference between 
the two hour angles has been deducted from the Sun’s R.A, to give that of the star, 
let the latter be compared with the places on the diagram and it will be found that 
the correspondences are close, though not exact—and further, that a few trials of 
small variations of declination point out that a very near approach can be made by 
making the star’s declination + 8° 40' which implies an amplitude of + 8° 38' (not 
much more than 1° from the axis) and therefore well within the allowable distance. 
Nothing more is now required than a small addition to the Sun’s depression, and a 
complete correspondence will be the result between the star’s R.A. and its declination. 
790 B.c. is the date due to that particular place on the diagram, and this has to be 
taken as the approximate date of the first foundation of the temple, and this 
coincides extremely well with the chronology of the development of Olympia. The 
