100 



Professor A. E. H. Love 



[March 6, 



semicircular caps of depression, in the antipodal hemisphere a central 

 band of depression bordered by semicircular caps of elevation. [Shown 

 by slide.] A map of one hemisphere with its centre in latitude 15° N. 

 and longitude 80° W., shows the Arctic and xitlantic oceans as a 

 somewhat irregular central band of depiession, with regions of eleva- 

 tion on either side of it. [Map shown by slide.] Australia would 



Fig. 2. 



be near the middle of the antipodal band of elevation. Our unsym- 

 metrical pear-shaped figure was obtained by one way of combining 

 the two types of spherical harmonics of the thkd degree. Many 

 other figures can be so obtained. The most important are these : 

 A division of the sphere into octants alternately depressed and ele- 

 vated, and a division of the sphere into six equal sectors alternately 

 depressed and elevated. [The mode of generation of these figures 

 was shown by slides.] Traces of both can be found on the earth. 

 A map of the world spread out on a rectangle, and divided into eight 

 equal parts by the equator and the meridians of longitude 5° E., 

 95° E., 175'^ W., 85° W., shows four northern octants roughly co- 

 inciding with North America, the Northern Atlantic, Asia, the Northern 

 Pacific, and the four corresponding southern octants roughly coincid- 

 ing with the Southern Pacific, South America, the Indian Ocean, 

 Australasia. [Map shown by slide.] A map of the southern hemi- 

 sphere shows three separate continental masses, South America, 

 Africa, Australasia, running out towards the equator, arranged with 



