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  2. Jade Mirror of the Four Unknowns - Wikipedia

    en.wikipedia.org/wiki/Jade_Mirror_of_the_Four...

    Jade Mirror of the Four Unknowns, [1] Siyuan yujian (simplified Chinese: 四元玉鉴; traditional Chinese: 四元玉鑒), also referred to as Jade Mirror of the Four Origins, [2] is a 1303 mathematical monograph by Yuan dynasty mathematician Zhu Shijie. [3] Zhu advanced Chinese algebra with this Magnum opus.

  3. Science and technology of the Yuan dynasty - Wikipedia

    en.wikipedia.org/wiki/Science_and_technology_of...

    A diagram of Pascal's triangle in Zhu Shijie's Jade Mirror of the Four Unknowns, written in 1303 Advances in polynomial algebra were made by mathematicians during the Yuan Dynasty. The mathematician Zhu Shijie (1249–1314) solved simultaneous equations with up to four unknowns using a rectangular array of coefficients, equivalent to modern ...

  4. Yuan dynasty - Wikipedia

    en.wikipedia.org/wiki/Yuan_dynasty

    This is an accepted version of this page This is the latest accepted revision, reviewed on 12 December 2024. Mongol-led dynasty of China (1271–1368) Great Yuan 大元 Dà Yuán (Chinese) ᠳᠠᠢ ᠦᠨ ᠤᠯᠤᠰ Dai Ön ulus (Mongolian) 1271–1368 Yuan dynasty (c. 1290) Status Khagan -ruled division of the Mongol Empire Conquest dynasty of Imperial China Capital Khanbaliq (now Beijing ...

  5. House of Zhu - Wikipedia

    en.wikipedia.org/wiki/House_of_Zhu

    Its association with brightness and glow evoked the elements of fire, the color red, and the south, all of which symbolized opposition to the ruling Yuan dynasty. [6] This was because in the Chinese system of five elements, the similarity between the words yuan and xuan (dark) linked it to water, the color black, and the north. [6]

  6. Mandate of Heaven - Wikipedia

    en.wikipedia.org/wiki/Mandate_of_Heaven

    The brutal behavior of Zhu Wen and his Later Liang was a source of considerable embarrassment, and thus there was pressure to exclude them from the Mandate. The following three dynasties, the Later Tang , Later Jin , and Later Han were all non-Han Chinese dynasties with rulers from the Shatuo ethnic minority.

  7. Zhu Shijie - Wikipedia

    en.wikipedia.org/wiki/Zhu_Shijie

    Zhu Shijie (simplified Chinese: 朱世杰; traditional Chinese: 朱世傑; pinyin: Zhū Shìjié; Wade–Giles: Chu Shih-chieh, 1249–1314), courtesy name Hanqing (漢卿), pseudonym Songting (松庭), was a Chinese mathematician and writer during the Yuan Dynasty. [1] Zhu was born close to today's Beijing.

  8. Red Turban Rebellions - Wikipedia

    en.wikipedia.org/wiki/Red_Turban_Rebellions

    The Yuan army retaliated by sending raiders to sack Buddhist monasteries, turning Zhu's home into a battlefield. His temple was burned down in the same month. On 15 April, Zhu joined the Red Turban rebellion under Guo Zixing's command. Zhu married an adopted daughter of Guo who would later become empress. In 1353, two other rebels on the run ...

  9. Eight Banners - Wikipedia

    en.wikipedia.org/wiki/Eight_Banners

    In war, the Eight Banners functioned as armies, but the banner system was also the basic organizational framework of all of Manchu society. Created in the early 17th century by Nurhaci , the banner armies played an instrumental role in his unification of the fragmented Jurchen people (who would later be renamed the "Manchu" under Nurhaci's son ...