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Engineering Drawing Slides
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CE101Engineering Drawing
Lec2: Conics and Curves
Indian Institute of Technology
Guwahati
,Wednesda CE101 Lec2: Conics and Curves 2
y, October
27, 2021 Conic Sections
Sections of a right circular cone obtained by cutting in different ways
Depending on the position of the cutting plane relative to the axis of cone,
three conic sections can be obtained
Ellipse
Parabola
Hyperbola
,Wednesda CE101 Lec2: Conics and Curves 3
y, October O A
Conic Sections
27, 2021 B
An ellipse is obtained when a section C
A
plane A–A, inclined to the axis cuts
all the generators of the cone.
A parabola is obtained when a
D
section plane B–B, parallel to one of
the generators cuts the cone. The
section plane will definitely cut the O
base of the cone. B
A hyperbola is obtained when a C D
section plane C–C, inclined to the
axis cuts the cone on one side of the
axis.
A rectangular hyperbola is obtained
when a section plane D–D, parallel to
the axis cuts the cone.
, Wednesda CE101 Lec2: Conics and Curves 4
y, October
27, 2021 Few Applications of Ellipse
Elliptical Arch
Elliptical gear
Bullet nose
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