upward may be laid down. It enables us to show just what rel- 
ative place is taken by each race of people and just how much 
and at what points each can contribute to the history of man; 
for human history as. writ t en is a composite made up of the 
separate histories of many peoples of all grades of develop- 
ment, set together as a mosaic. 
The fan- shaped figure, A, in the diagram, may be 
taken to express the history of the race, that is the whole 
of human progress from the slender beginnings of the savage 
stage up to its greatest expansion at the present day. the same 
figure may stand with equal propriety for the career of a single 
people cr nation that has reached the highest limit of culture. 
s 
As shown in the diagram, the beginning of cultural development 
is represented by a few slender threads of activity* in savagery 
these threads multiply slowly into a considerable number and 
with ever accelerated rapidity divide and subdivide in barbar- 
ism md civilisation, expanding with marvelous rapidity in the 
horizon of enlightenment. While this expanding figure may he 
