Sentence Examples

  • Mobius must be regarded as one of the leaders in the introduction of the powerful methods of modern projective geometry.
  • In projective geometry it may be defined as the conic which intersects the line at infinity in two real points, or to which it is possible to draw two real tangents from the centre.
  • It was during his imprisonment here that, "prive de toute espece de livres et de secours, surtout distrait par les malheurs de ma patrie et les miens propres," as he himself puts it, he began his researches on projective geometry which led to his great treatise on that subject.
  • Taking the variables to be x, y and effecting the linear transformation x = X1X+1.11Y, y = X2X+It2Y, X 2 +Y2X Y Xl - X2 y = _ x X I + AI R X 122 so that - �l b it is seen that the two lines, on which lie (x, y), (X, Y), have a definite projective correspondence.
  • The general relations between the parabola, ellipse and hyperbola are treated in the articles Geometry, Analytical, and Conic Sections; and various projective properties are demonstrated in the article Geometry, Projective.

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