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单词 projective geometry
释义

Definition of projective geometry in English:

projective geometry

noun
mass noun
  • The study of the projective properties of geometric figures.

    Example sentencesExamples
    • His work in geometry included a study of conics, quadrics and projective geometry.
    • In Catania he taught projective geometry and descriptive geometry.
    • He began a teaching career in 1870 in a secondary school in Milan, then two years later he went to the University of Rome to teach descriptive and projective geometry.
    • Under their direction he laid the basis for the important work he was later to achieve in the fields of foundations of geometry, projective geometry, topology, differential invariants and spinors.
    • He was promoted a number of times, to extraordinary professor in differential geometry, then extraordinary professor in projective geometry, then of analytic geometry.
    • He united projective geometry and metrical geometry which is dependent on sizes of angles and lengths of lines.
    • After graduating, he continued working for his doctorate at Trinity on projective geometry.
    • His time for research was now limited but he still made important contributions undertaking research on infinitesimal geometry, projective geometry and the differential geometry of curves and surfaces.
    • This latter book develops the subject of projective geometry without using the concept of distance and it bases projective geometry on a minimal set of axioms.
    • This impressive work extended apolarity theory as introduced by Reye to projective geometry in several dimensions using the theory of rational curves.
    • This treatise represented a major step forward in understanding the geometry of perspective and it was a major contribution towards the development of projective geometry.
    • It contained a number of projective geometry theorems, including Pascal's mystic hexagon.
    • His most important work was on differential projective geometry where he used the absolute differential calculus.
    • One could certainly consider this work as laying the foundations for the theory of descriptive and projective geometry.
    • Servois worked in projective geometry, functional equations and complex numbers.
    • He was one of the greatest contributors to projective geometry.
    • Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry.
    • He made substantial contributions to projective geometry and wrote an important book on the topic.
    • During his imprisonment he studied projective geometry.
    • Enriques was appointed to the University of Bologna where he taught projective geometry and descriptive geometry.
 
 

Definition of projective geometry in US English:

projective geometry

noun
  • The study of the projective properties of geometric figures.

    Example sentencesExamples
    • It contained a number of projective geometry theorems, including Pascal's mystic hexagon.
    • This impressive work extended apolarity theory as introduced by Reye to projective geometry in several dimensions using the theory of rational curves.
    • Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry.
    • After graduating, he continued working for his doctorate at Trinity on projective geometry.
    • His time for research was now limited but he still made important contributions undertaking research on infinitesimal geometry, projective geometry and the differential geometry of curves and surfaces.
    • Under their direction he laid the basis for the important work he was later to achieve in the fields of foundations of geometry, projective geometry, topology, differential invariants and spinors.
    • Enriques was appointed to the University of Bologna where he taught projective geometry and descriptive geometry.
    • One could certainly consider this work as laying the foundations for the theory of descriptive and projective geometry.
    • This latter book develops the subject of projective geometry without using the concept of distance and it bases projective geometry on a minimal set of axioms.
    • He was one of the greatest contributors to projective geometry.
    • He made substantial contributions to projective geometry and wrote an important book on the topic.
    • In Catania he taught projective geometry and descriptive geometry.
    • Servois worked in projective geometry, functional equations and complex numbers.
    • This treatise represented a major step forward in understanding the geometry of perspective and it was a major contribution towards the development of projective geometry.
    • He began a teaching career in 1870 in a secondary school in Milan, then two years later he went to the University of Rome to teach descriptive and projective geometry.
    • He was promoted a number of times, to extraordinary professor in differential geometry, then extraordinary professor in projective geometry, then of analytic geometry.
    • During his imprisonment he studied projective geometry.
    • His work in geometry included a study of conics, quadrics and projective geometry.
    • His most important work was on differential projective geometry where he used the absolute differential calculus.
    • He united projective geometry and metrical geometry which is dependent on sizes of angles and lengths of lines.
 
 
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更新时间:2025/1/27 7:24:48