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Germinal Pierre Dandelin (/ʒɛʁminˈal pjˈɛʁ dɑ̃dlˈɛ̃/, 12
April 1794 – 15
February 1847) was a
French mathematician, soldier, and
professor of engineering...
- In geometry, the
Dandelin spheres are one or two
spheres that are
tangent both to a
plane and to a cone that
intersects the plane. The
intersection of...
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curves of
exactly the same shape. An
alternative proof can be done
using Dandelin spheres. It
works without calculation and uses
elementary geometric considerations...
- In mathematics, Graeffe's
method or
Dandelin–Lobachesky–Graeffe
method is an
algorithm for
finding all of the
roots of a polynomial. It was
developed independently...
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sense of the term "directrix" and the
directrix of a
conic section, see
Dandelin spheres.) The "base radius" of a
circular cone is the
radius of its base;...
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Michel Chasles (1793–1880) –
projective geometry Germinal Dandelin (1794–1847) –
Dandelin spheres in
conic sections Jakob Steiner (1796–1863) – champion...
- a
circle uses Menelaus'
theorem repeatedly.
Dandelin, the
geometer who
discovered the
celebrated Dandelin spheres, came up with a
beautiful proof using...
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approximation of the
roots of
algebraic equations. This
method is now
known as the
Dandelin–Gräffe method,
named after two
other mathematicians who
discovered it independently...
- to
prove the
defining property of a
hyperbola (see above) one uses two
Dandelin spheres d 1 , d 2 {\displaystyle d_{1},d_{2}} ,
which are
spheres that...
- Semi-major axis
Hyperbola Parabola Matrix representation of
conic sections Dandelin spheres Curve of
constant width Reuleaux triangle Frieze group Golden angle...
