These results were obtained by Perrey after analysing his catalogues by three different and independent methods, and they were confirmed by the report of a committee appointed by the Academy of Sciences. It must, however, be remarked that in several instances anomalies occur, and also that the difference between the number of earthquakes at any two periods is not a very large one. Thus, for instance, the annual catalogues compiled by Perrey from 1844 to 1847, the earthquakes in perigee are to those in apogee as 47 : 39. Between the years 1843 and 1872 Perrey finds that 3,290 shocks occurred at the moon’s perigee, and 3,015 at the apogee.[99] Between 1761 and 1800 earthquakes occurred as follows:— In Perigee 526 Apogee 465 The following table shows the results which enabled Perrey to deduce his first law. Dividing the period of lunation into quarters, with the time of syzygies and quadratures as the centres of these quarters, he found that the earthquakes were distributed as follows. +-----------+--------+----------+-------------+---------------+ | | | | | Difference in | | | Totals | Syzygies | Quadratures | favour of the | | | | | | Syzygies | +-----------+--------+----------+-------------+---------------+ | 1843–1847 | 1,604 | 850·48 | 753·52 | 69·96 | | 1848–1852 | 2,049 | 1,053·53 | 995·47 | 58·06 | | 1853–1857 | 3,018 | 1,534·13 | 1,483·87 | 50·26 | | 1858–1862 | 3,140 | 1,602·99 | 1,537·41 | 65·98 | | 1863–1867 | 2,845 | 1,463·42 | 1,381·58 | 81·84 | | 1868–1872 | 4,593 | 2,333·48 | 2,259·52 | 73·96 | | 1843–1872 | 17,249 | 8,838·03 | 8,410·97 | 427·06 | +-----------+--------+----------+-------------+---------------+ The reported earthquakes between 1751 and 1843 are shown to conform with the same rule.[100] Julius Schmidt, astronomer at Athens, found for the earthquakes of Eastern Europe and adjacent countries for the years 1776 to 1873 that there were more earthquakes when the moon was in perigee. Other maxima were at new moon, and two days after the first quarter. There was a diminution at full moon, and a minimum on the day of the last quarter. As one example of results which are antagonistic to the general results obtained by Perrey may be quoted the results of an examination by Professor W. S. Chaplin of the earthquake recorded at the meteorological observatory in Tokio. The list of earthquakes, 143 in number, extending over a period of three years, was recorded by one of Palmieri’s instruments. The results were as follows:— 1. There have been maxima of earthquakes when the moon was two and nine hours east and seven hours west. At the upper transit there is a minimum.