Certain Questions in Modern Geometry of Curves and SurfacesUniversity of Wisconsin--Madison, 1918 - 116 pages |
Common terms and phrases
At+B called the polar cartesian coordinates circumscribing quadric collinear conic coor coordinate planes corresponding cross ratio cubic curve cubic equation cubic space curve D₂ defined denoted dihedral angles dinates double ratio edge equa equal Equation 21 equation 39 four planes four points Geometry given line harmonic polar Hence homogeneous coordinates ideal plane ideal points identity involution linear complex linear functions matrix osculating planes P₁ P₂ pass plane coordinates plane x=0 point with parameter points of osculation points P1 polar plane Projective Geometry quadric cone quadric surface ratic ratio of four resulting equation roots satisfy the equation space coordinates space locus t₁ tangent complex tangent plane tetrahedral complex tetrahedral coordinates tetrahedron of reference tion triangle Twisted Cubic unique chord unit point values vanishes vertex X₁ X₂ zero
Popular passages
Page 29 - Then the double ratio of the four planes through the line and the vertices of...
Page 27 - A system of lines which satisfy a single relation between the six coordinates is called a complex...
Page 24 - The other quadrics, the ellipsoid, the hyperboloids of one and two sheets, and the cone are not tangent to the ideal plane.