Göttingen Collection of Mathematical Models and Instruments

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Algebraic Curves and Surfaces
Elliptic paraboloids

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Categories

A

Algebraic Curves and Surfaces

Ia

Ib

Hyperbolic paraboloids

Ic

One-sheet hyperboloids

Id

Two-sheet hyperboloids

Ie

Elliptic paraboloids

Elliptical paraboloid with planar cuts
Elliptical paraboloids
Elliptical paraboloid
Elliptical paraboloid
Plane slices of the elliptical paraboloid

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

VI

Other surfaces of fourth and higher order

VII

VIII

IX

Descriptive geometry

XX

B

Combinatorical Geometry

C

D

Kinematics and Mechanics

E

Differential Geometry

F

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

Models of rubric: Elliptic paraboloids

Model 9 Elliptical paraboloid with planar cuts
Model 19 Elliptical paraboloids
Model 20 Elliptical paraboloid
Model 21 Elliptical paraboloid
Model 38 Plane slices of the elliptical paraboloid

Elliptic paraboloids are often called paraboloids. They are solutions of the equation \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=z\) for positve real numbers \(a\) and \(b\). The sections with planes normal to the \)z\)-axis are ellipses.

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37073 Göttingen

Email: modelcollection@math.uni-goettingen.de