Göttingen Collection of Mathematical Models and Instruments
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Algebraic Curves and Surfaces
Confocal systems, conics
Categories
A
Algebraic Curves and Surfaces
Ia
Ellipsoids
Ib
Hyperbolic paraboloids
Ic
Onesheet hyperboloids
Id
Twosheet hyperboloids
Ie
Elliptic paraboloids
If
Cones and cylinders
Ig
Confocal systems, conics
Singleleaf hyperboloid and confocal ellipsoid
Singleleaf hyperboloid and confocal doubleleaf ellipsoid
Ellipsoid and confocal doubleleaf hyperboloid
Ellipsoid, confocal single and doubleleaf hyperboloid
Slide: Bending circles and evolute of the ellipse
Slide: The bending circle as geometric limes
Slide: Focus of the ellipse
Slide: Theorem of Dandelin
Slide: Kinematic generation of an ellipse
Slide: Kinematic generation of an ellipse
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
A confocal system describes conic sections with the same foci respectively their body of rotation.
Models of rubric: Confocal systems, conics
Model 27
Singleleaf hyperboloid and confocal ellipsoid
Model 28
Singleleaf hyperboloid and confocal doubleleaf ellipsoid
Model 29
Ellipsoid and confocal doubleleaf hyperboloid
Model 30
Ellipsoid, confocal single and doubleleaf hyperboloid
Model 1160
Slide: Bending circles and evolute of the ellipse
Model 1161
Slide: The bending circle as geometric limes
Model 1169
Slide: Focus of the ellipse
Model 1225
Slide: Theorem of Dandelin
Model 1420
Slide: Kinematic generation of an ellipse
Model 1421
Slide: Kinematic generation of an ellipse