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词汇 conics
释义

Definition of conics in English:

conics

plural nounˈkɒnɪksˈkäniks
  • treated as singular The branch of mathematics concerned with conic sections.

    圆锥曲线论,锥线论

    Example sentencesExamples
    • It is said that from that result Pascal derived all of Apollonius' theorems on conics and more, no fewer than 400 propositions in all.
    • There were also applications made by Apollonius, using his knowledge of conics, to practical problems.
    • Secondly, I am working on the history of dioptrics, the geometry of the projections, as well as on the theory of conics.
    • He wrote articles on such diverse topics as twisted cubics, developable surfaces, the theory of conics, the theory of plane curves, third- and fourth-degree surfaces, statics and projective geometry.
    • The work of both Aristaeus and Euclid on conics was, almost 200 years later, further developed by Apollonius.
    • This was meant to be the first part of a treatise on conics which Pascal never completed.
    • In the same work Pappus writes about how the problem of trisecting an angle was solved by Apollonius using conics.
    • It is thought that three of the propositions are later additions to the text, while the remaining ones give a remarkable insight into the theory of conics in the early second century BC.
    • It could only do some partial unifications, such as the geometry of conics and the theory of equations.
    • He gave a formula for the number of conics in a 1-dimensional system which properly satisfy a codimension 1 condition, and also a proof of his formula for the number of conics which properly satisfy five independent conditions.
    • His work in geometry included a study of conics, quadrics and projective geometry.
    • Apollonius did for conics what Euclid had done for elementary geometry: both his terminology and his methods became canonical and eliminated the work of his predecessors.

Definition of conics in US English:

conics

plural nounˈkäniks
  • treated as singular The branch of mathematics concerned with conic sections.

    圆锥曲线论,锥线论

    Example sentencesExamples
    • In the same work Pappus writes about how the problem of trisecting an angle was solved by Apollonius using conics.
    • The work of both Aristaeus and Euclid on conics was, almost 200 years later, further developed by Apollonius.
    • It is thought that three of the propositions are later additions to the text, while the remaining ones give a remarkable insight into the theory of conics in the early second century BC.
    • He gave a formula for the number of conics in a 1-dimensional system which properly satisfy a codimension 1 condition, and also a proof of his formula for the number of conics which properly satisfy five independent conditions.
    • This was meant to be the first part of a treatise on conics which Pascal never completed.
    • It is said that from that result Pascal derived all of Apollonius' theorems on conics and more, no fewer than 400 propositions in all.
    • His work in geometry included a study of conics, quadrics and projective geometry.
    • He wrote articles on such diverse topics as twisted cubics, developable surfaces, the theory of conics, the theory of plane curves, third- and fourth-degree surfaces, statics and projective geometry.
    • There were also applications made by Apollonius, using his knowledge of conics, to practical problems.
    • Apollonius did for conics what Euclid had done for elementary geometry: both his terminology and his methods became canonical and eliminated the work of his predecessors.
    • It could only do some partial unifications, such as the geometry of conics and the theory of equations.
    • Secondly, I am working on the history of dioptrics, the geometry of the projections, as well as on the theory of conics.
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