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HYPERBOLA |
Plane curve |
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ELLIPSE |
Plane curve |
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CIRCLE |
A plane figure, bounded by a single curve line called its
circumference, every part of which is equally distant from a point
within it, called the center. |
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NORMAL |
A straight line or plane drawn from any point of a curve or
surface so as to be perpendicular to the curve or surface at that
point. |
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CYCLOID |
A curve generated by a point in the plane of a circle when
the circle is rolled along a straight line, keeping always in the same
plane. |
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ROULETTE |
The curve traced by any point in the plane of a given
curve when the latter rolls, without sliding, over another fixed curve.
See Cycloid, and Epycycloid. |
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PLANE |
...r
containing, some designated astronomical line, circle, or other curve;
as, the plane of an orbit; the plane of the ecliptic, or of the
equa... |
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CONOID |
A surface which may be generated by a straight line moving
in such a manner as always to meet a given straight line and a given
curve, and continue parallel to a given plane. |
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CISSOID |
...olving
two celebrated problems of the higher geometry; viz., to trisect a
plane angle, and to construct two geometrical means between two given
... |
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SPIRAL |
A plane curve, not reentrant, described by a point, called
the generatrix, moving along a straight line according to a
mathematical law, while ... |
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HELIX |
A nonplane curve whose tangents are all equally inclined to
a given plane. The common helix is the curve formed by the thread of
the ordinary s... |
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PARABOLA |
... by the
intersection of the surface of a cone with a plane parallel to one of
its sides. It is a curve, any point of which is equally distant fr... |
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TROCHOID |
...econd fixed curve, the curves all being in
one plane. Cycloids, epicycloids, hypocycloids, cardioids, etc., are
all trochoids. ... |
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INDICATRIX |
A certain conic section supposed to be drawn in the
tangent plane to any surface, and used to determine the accidents of
curvature of the surfa... |