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The mathematician Darboux claimed he was un intuitif (an intuitive), arguing that this is demonstrated by the fact that he worked so often by visual representation. He did not care about being rigorous and disliked logic. (Despite this opinion, Jacques Hadamard wrote that Poincaré's research demonstrated marvelous clarity and Poincaré himself wrote that he <!-- TODO: Add Poincaré's opinion on rigorousness, see http://www.forgottenbooks.org/readbook/American_Journal_of_Mathematics_1890_v12_1000084889#233 — Each time I can I'm absolute rigour --> believed that logic was not a way to invent but a way to structure ideas and that logic limits ideas.)

The mathematician Darboux claimed he was un intuitif (an intuitive), arguing that this is demonstrated by the fact that he worked so often by visual representation. He did not care about being rigorous and disliked logic. (Despite this opinion, Jacques Hadamard wrote that Poincaré's research demonstrated marvelous clarity and Poincaré himself wrote that he <!-- TODO: Add Poincaré's opinion on rigorousness, see http://www.forgottenbooks.org/readbook/American_Journal_of_Mathematics_1890_v12_1000084889#233 — Each time I can I'm absolute rigour --> believed that logic was not a way to invent but a way to structure ideas and that logic limits ideas.)

数学家 Darboux 声称他是非直觉的(一种直觉) ，认为这是由事实证明，他工作如此频繁的视觉表示。他不在乎严谨和不喜欢逻辑。(尽管有这样的观点，但雅克·阿达马写道，庞加莱的研究证明了非凡的清晰度，庞加莱本人写道，他 < ! -- todo: 添加庞加莱关于严格性的观点，见 http://www.forgottenbooks. org/readbook/american journal of mathematics 1890 v121000084889 # 233ー每一次我可以绝对严格 -- 相信逻辑不是一种发明方式，而是一种构造思想的方式，逻辑限制了思想。)

数学家 Darboux 声称他是反直觉的(一种直觉) ，认为这由他工作如此频繁的视觉表示的事实可以证明。他不在乎严谨和不喜欢逻辑。(尽管有这样的观点，但雅克·阿达马写道，庞加莱的研究证明了非凡的清晰度，庞加莱本人写道，他 < ! -- todo: 添加庞加莱关于严格性的观点，见 http://www.forgottenbooks. org/readbook/american journal of mathematics 1890 v121000084889 # 233ー每一次我可以绝对严格地 -- 相信逻辑不是一种发明方式，而是一种构造思想的方式，逻辑限制了思想。)

Poincaré authored important works on astronomy for the equilibrium figures of a gravitating rotating fluid. He introduced the important concept of bifurcation points and proved the existence of equilibrium figures such as the non-ellipsoids, including ring-shaped and pear-shaped figures, and their stability. For this discovery, Poincaré received the Gold Medal of the Royal Astronomical Society (1900).<ref>A. Kozenko, The theory of planetary figures, pages = 25–26{{full citation needed|date=September 2019}}</ref>

Poincaré authored important works on astronomy for the equilibrium figures of a gravitating rotating fluid. He introduced the important concept of bifurcation points and proved the existence of equilibrium figures such as the non-ellipsoids, including ring-shaped and pear-shaped figures, and their stability. For this discovery, Poincaré received the Gold Medal of the Royal Astronomical Society (1900).<ref>A. Kozenko, The theory of planetary figures, pages = 25–26{{full citation needed|date=September 2019}}</ref>

庞加莱为引力旋转流体的平衡图写了重要的天文学著作。他引入了分支点的重要概念，证明了非椭球体（包括环形和梨形）等平衡图形的存在性及其稳定性。这枚天文发现奖（1900年）被英国皇家天文学会授予。<ref>A. Kozenko, The theory of planetary figures, pages = 25–26{{full citation needed|date=September 2019}}</ref>

庞加莱为引力旋转流体的平衡图写了重要的天文学著作。他引入了<font color="#ff8000"> 分支点</font>的重要概念，证明了非椭球体（包括环形和梨形）等平衡图形的存在性及其稳定性。这项天文发现奖（1900年）被英国皇家天文学会授予。<ref>A. Kozenko, The theory of planetary figures, pages = 25–26{{full citation needed|date=September 2019}}</ref>

===Differential equations and mathematical physics===

===Differential equations and mathematical physics===