Category
page 1Theorems in projective geometry
Pascal's theorem
theorem
Desargues' theorem
theorem that two triangles are in perspective axially if and only if they are in perspective centrally
Pappus's hexagon theorem
theorem that, if the vertices of a hexagon lie alternately on two lines, then the three pairs of opposite sides meet in three collinear points
Brianchon's theorem
theorem that the three long diagonals of a hexagon that is tangent to a conic section meet in a single point
Cayley–Bacharach theorem
statement about cubic curves in the projective plane
Pohlke's theorem
theorem in descriptive geometry
De Bruijn–Erdős theorem
incidence geometry theorem
Steiner's theorem
Birkhoff–Grothendieck theorem
classifies holomorphic vector bundles over the complex projective line
Bruck–Ryser–Chowla theorem
a result on the combinatorics of block designs