the Legations in 1900. Punitive expeditions against Galdan and Arabtan carried the frontiers of the empire to the borders of Khokand and Badakshan, and to the confines of Tibet.
Galdan was a khan of the Kalmucks, who succeeded in establishing his rule through nearly the whole of Turkestan, after attaining his position by the murder of a brother. He attacked the Khalkas, and thus incurred the resentment of Kʽang Hsi, whose subjects they were; and in order to strengthen his power, he applied to the Dalai Lama for ordination, but was refused. He then feigned conversion to Mahometanism, though without attracting Mahometan sympathies. In 1689 the Emperor in person led an army against him, crossing the deadly desert of Gobi for this purpose. Finally, after a further expedition and a decisive defeat in 1693, Galdan became a fugitive, and died three years afterwards. He was succeeded as khan by his nephew, Arabtan, who soon took up the offensive against China. He invaded Tibet, and pillaged the monasteries as far as Lhasa; but was ultimately driven back by a Manchu army to Sungaria, where he was murdered in 1727.
The question of the calendar early attracted attention under the reign of Kʽang Hsi. After the capture of Peking in 1644, the Manchus had employed the Jesuit Father, Schaal, upon the Astro-
