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Born in Liangcheng Hebei(Month and day of birth is unknown)
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There was a war between the Jurchuns(People from his colon), and Genghis's khan's colony, because Genghis Khan tried to take over his colony. So he moved to Yuan-shih district of Hopeh province, for his studies.
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This occured in Lo-yang, and he passed it.
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This piece of work is called Ce yuan hai jing (Sea mirror of circle measurements). Li Yu spent years of time and effort in his work.
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After he published his incredible work, his financial position got better, which allowed Li Zhi to move back to Hopeh province, and buy a house near the Feng Lung mountain, inside the Yuan district.
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Genghis khan knew that Li Zhi is good at science, and assumes that he knows how earthquakes occur. So he sends his grandson to meet Li Zhi to find out the reason for earthquakes to occur.
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Li Zhi kept on working on his math work, and was able to make another piece of work.
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Kublai Khan is Genghis Khan's grandson.
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Li Zhi denied the opportunity due to his old age and bad health.
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Kublai Khan convinced Li Zhi to join his academy, and still teach people at a old age.(Li Zhi left the academy shortly)
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Li Zhi died due to his old age, but did not live peacefully due to people still coming to learn from Li Zhi even though he was very ill, and old. He died in China, Hopeh province.