Categories

A
Algebraic Curves and Surfaces
Ia
Ellipsoids
Ib
Hyperbolic paraboloids
Ic
One-sheet hyperboloids
Id
Two-sheet hyperboloids
Ie
Elliptic paraboloids
If
Cones and cylinders
Ig
Confocal systems, conics
II
Generation of conics and surfaces of second order
III
Curves of third and fourth order
IV
Surfaces of third order
V
Cyclides
VI
Other surfaces of fourth and higher order
VII
Line geometry
VIII
Singularities
IX
Descriptive geometry
XX
Others
B
Combinatorical Geometry
C
Topology
D
Kinematics and Mechanics
E
Differential Geometry
F
Algebra
G
Analysis, Probability Theory
H
Theory of Functions of Complex Variables
J
Differential Equations, Wave Theory
K
Geometrical Optics
L
Instruments and Devices.
M
History of Mathematis and Astronomy
Z
Other

Algebraic surfaces are determined by polynomial equations. The order of a surface is given by the maximal sum of exponents. The order has an geometric interpretation in \(\mathbb{R}^3\): The intersection of a surface of order \(n\) and a line has a maximal number of /(n/) points.

Models of rubric: Other surfaces of fourth and higher order