Very often the term "perpendicular and horizontal" period is applied to the fourth century B.C. That is, Ts'u's object was to weld together a chain of north and south alliances, so as to bring the power of Ts'i and Tsin to bear together with her own upon Ts'in; and Ts'in's great object was, on the other hand, to make a similar string of east and west alliances, so as to bring the same two powers to bear upon Ts'u. The object of both Ts'in and Ts'u was to dictate terms to each unit of; and ultimately to possess, the whole Empire, merely utilizing the other powers as catspaws to hook the chestnuts out of the furnace. No other state had any rival pretensions, for, by this time, Ts'in and Ts'u each really did possess one-third part of China as we now understand it, whilst the other third was divided between Ts'i and the three Tsin. In 343 B.C. the Chou Emperor declared Ts'in Protector, and from 292 to 288 B.C., Tsin and Ts'i took for a few years the ancient title of _Ti_ or "Emperor" of the West and East respectively: in the year 240 the Chou Emperor even proceeded to Ts'in to do homage there. Tsin might have been in the running for universal empire had she held together instead of dividing herself into three. Yen was altogether too far away north,--though, curiously enough, Yen (Peking) has been the political centre of North China for 900 years past,--and Ts'i was too far away east. Moreover, Ts'i was discredited for having cut off the sacrifices of the legitimate house. Ts'u was now master of not only her old vassals, Wu and Yiieh, but also of most of the totally unknown territory down to the south sea, of which no one except the Ts'u people at that time knew so much as the bare local names; it bore the same relation to Ts'u that the Scandinavian tribes did to the Romanized Germans. Ts'in had become not only owner of Sz Ch'wan-- at first as suzerain protector, not as direct administrator--but had extended her power down to the south-west towards Yiin Nan and Tibet, and also far away to the north-west in Tartarland, but not farther than to where the Great Wall now extends. It is in the year 318 B.C. that we first hear the name Hiung-nu (ancestors of the Huns and Turks), a body of whom allied themselves in that year with the five other Chinese powers then in arms against the menacing attitude of Ts'in; something remarkable must have taken place in Tartarland to account for this sudden change of name, The only remains of old federal China consisted of about ten petty states such as Sung, Lu, etc., all situated between the Rivers Sz and Hwai, and all waiting, hands folded, to be swallowed up at leisure by this or that universal conqueror.