He worked on conic sections and produced important theorems in projective geometry.
他工作的圆锥部分和制作重要定理在射影几何。
Sturm's theoretical work in mathematical physics involved the study of caustic curves, and poles and polars of conic sections.
斯特姆的理论工作在数学物理的研究涉及苛性曲线,并两极和两极的圆锥部分。
These four treatises on conic sections, higher plane curves, modern higher algebra, and the geometry of three dimensions not only gave a comprehensive treatment of their respective fields but also were written with a clarity of expression and an elegance of style that made them models of what a textbook should be.
Perhaps even more remarkable is the fact that Khayyam states that the solution of this cubic requires the use of conic sections and that it cannot be solved by ruler and compass methods, a result which would not be proved for another 750 years.
At Halle, Scherk taught a wide range of courses such as: analytic geometry of lines and the conic sections; analytic geometry of lines and surfaces of the first and second degree; algebra and algebraic geometry; plane and spherical trigonometry; integral calculus; and differential calculus and its application to algebra, analysis and geometry.
One was a paper on giving geometrical results on conic sections, the other was on light, in particular on double refraction in which he gave a clear construction of the Fresnel wave surface.
The first volume looks at topics such as: arithmetic including discussion of square and cube roots, arithmetical and geometrical progressions, compound interest, double position and permutations and combinations; logarithms; algebra including the study of quadratic equations and the Cardan - Tartaglia method for cubic equations; geometry which follows the approach in Euclid's Elements; surveying; and conic sections.
His most important writings were written in that language, however, his edition of Euclid, after its first publication in Latin, appeared in English, as did a treatise on conic sections that he wrote for the benefit of his students.
The book he read at this stage of his education which he found most attractive was a Japanese translation of Salmon's A treatise on conic sections.
这本书他读在这一阶段的教育,他认为最有吸引力的是日本人翻译的鲑鱼之论圆锥部分。
During periods when construction work had to stop due to floods, he studied mathematics from some textbooks he had with him, such as Jordan's Cours d'Analyse and Salmon's text on the analytic geometry of conic sections.
The first students of conic sections, and possibly Theaetetus, the creator of solid geometry, were members of the Academy.
第一个学生的圆锥部分, 并可能 泰特托斯,创作者的立体几何,成员的学院。
In a major work in 1885 he looked in detail at the work of Apollonius on conic sections and showed that Apollonius used oblique coordinates.
在一个主要工作, 1885年他期待详细的工作阿波罗纽斯的圆锥部分和显示,阿波罗纽斯用斜坐标。
For example the paper describes three letters he exchanged with Zeuthen dealing with questions in the Greek theory of conic sections and the significance of certain constructions by means of "neusis."
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