Having already given the correct method of finding the local sunrise by reference to ascensional differences, a process which involves nothing more complex than adding two logarithms together, (tang. of Sun’s declination, × tang. of the latitude of place), from which we derive the ascensional difference (sine log.), and comparing the result with that due to the latitude of Greenwich. I need not waste space on the matter in these pages. But it may be pointed out for the benefit of those who wish to base their calculations of the planetary periods and sub-periods on the correct value of apparent sunrise, that the equation of time at the rate of four minutes for every degree applies only to meridian transit in Right Ascension, and has no connection with the equation by ascensional difference due to the latitude of the place. In fact, to find local sunrise it is absolutely necessary to take notice of “seasons and latitudes of places,” and so long as these are ignored so long will the mysteries of sound and number which depend on calculations made from time of sunrise remain “hidden mysteries” in fact as well as name. By way of illustrating the inaccuracy and futility of the “simple method” of finding sunrise, I may take an illustration that is actually given by its inventor. “For instance, the sun rises at Greenwich at 4.50 on the 23rd April, 1912, and we want to know the local sunrise at Epsom. All we have to do is to add the equivalent of 0° 17´ (which is nearly one fourth of a degree), 1 minute to that amount. The local sunrise at Epsom is, therefore, 4.51,” which for all practical purposes it is, since Epsom is on the same, or approximate, latitude as Greenwich. But when it is further said that the local time of sunrise is 4.48 at Newmarket on the same day, in the name of holy Science we must demur. The sun’s declination at 4.50 on April 23rd is 12° 24´, which, referred to the latitude of Greenwich, gives an ascensional difference of 1 hr. 4 min. 12 sec., and to the latitude of Newmarket 1 hr. 6 min. 0 sec., the difference of these being 1 min. 48 sec., so that if the two places were on the same meridian the sun would rise on Newmarket at this time of the year nearly two minutes before it rises on Greenwich. But Newmarket is 0° 24´ east of Greenwich, and therefore it would further advance the time by 1 min. 36 sec., and taking the two factors into account we have for latitude and longitude combined 3 min. 24 sec. by which the sun rises on April 23rd sooner than at Greenwich, the mean time being some seconds before 4.47 a.m. Had a more northerly place been taken it could be shown that the discrepancy is proportionately greater, and in fact at the summer solstice the sun rises on Liverpool only 1 minute after it rises on Greenwich, although the former place is 11 min. 52 sec. west longitude, or 2° 58´, while at York it actually rises before it does at Greenwich.