390 Royal Society :— 
est; of the two minima at intermediate epochs, that for the setting 
moon is the most marked. 
6. About aphelion. The law consists of two nearly equal minima 
near the upper and lower transits: of the two intermediate maxima, 
that near the moonset is the most marked. 
e. Thus the law about the winter solstice is inverted about the 
summer solstice, and the one law passes into the other at the epochs 
of the equinoxes, exactly as for the solar diurnal variation. 
6th. For the moon on the equator going south. 
a. About perihelion. The lunar diurnal law consists of two 
nearly equal maxima near the superior and inferior transits: of the 
two intermediate minima, the moonset minimum is by far the most 
marked. 
6. About aphelion. The law consists of two nearly equal minima 
near the superior and inferior transits: of the two intermediate 
maxima, that near moonrise is by far the most marked. 
e. In this case also the laws for the solstices are the opposite of 
each other, and the one law passes into the other near the epochs of 
the equinoxes. : 
7th. For the moon furthest south. 
a. About perihelion. The lunar diurnal law consists-of maxima 
near the upper and lower transits, that at the upper transit being by 
far the most marked: of the intermediate minima, that near moon- 
set is the greater. : 
6, About aphelion. The law consists of two minima, the most 
marked at the inferior transit, the other about three hours before the 
superior transit; and of two equal maxima, one near moonrise, the 
other near the superior transit, but varying little till 3 hours before 
the inferior passage. 
_ ¢. In this instance the inversion is not so complete as in the other 
cases ; this, it is believed, will be found to be due to the fact that the 
change from one law to the other takes place after the vernal and 
before the autumnal equinox ; so that in the means for six months, 
from which the above conclusions are drawn, the lunations following 
the law a are combined with those belonging to 0. 
8th. The moon on the equator going north. 
a, About perihelion. The lunar diurnal law consists of two nearly 
equal maxima when the moon is near the superior and inferior meri-. 
dians ; of the two intermediate minima, that near moonrise is by far 
the most marked. 
b. About aphelion. The law consists of two minima at the infe- 
rior and superior transits ; and of two maxima, the greatest at moon- 
set, the other between the meridians of 16" and 21"; between these 
points there is an inflexion constituting a slight minimum. . 
c. In this case also the opposition of the laws is sufficiently well 
marked ; the only divergence from opposition being that due to the 
minor miininreed about the meridian of 19", due, it is believed, as 
noted 7th c, to the partial combination of opposite laws in the 
aphelion half-year. 
9th. It will be observed that the variations of the law with refer- 
