Engineering Curves

1. APPLICATIONS :
ELLIPSE :- The shape of the ellipse and its
properties make it useful in several areas.
For example, ellipses are used in
architecture to design buildings and
rooms, in carpentry to design tables and
shelf pieces. Ellipses even have their in the
Kepler orbits of planets and satellites.
PARABOLA :- The parabola has many
important applications, from a parabolic
antenna or parabolic microphone to
automobile headlight reflectors and the
design of ballistic missiles. It is frequently
used in physics, engineering, and many
other areas.
HYPERBOLS :- A guitar is an example of a
hyperbola since its sides form the two
branches of a hyperbola. Satellite systems
and radio systems use hyperbolic functions.
Lenses, monitors, and optical lenses are
shaped like a hyperbola.
MAKWANA KETAN K. 216200305021
ENGINEERING CURVES
ELLIPSE PARABOLA HYPERBOLA
1. CONCENTRIC CIRCLE 1. RECTANGE METHOD 1. RECANGULAR HYPERBOLA
METHOD (COORDINATES GIVEN)
2. RECTANGLE METHOD 2. METHOD OF TENGENTS 2.RECTANGULAR HYPERBOL
(TRIANGLE METHOD)
3. OBLONG METHOD 3. BASIC LOCUS METHOD 3.BASIC LOCUS METHO
(DIRECTRIX-FOCUS) (DIRECTRIX-FOCUS)
4. ARCES OF CIRCLE METHOD
5. RHOMBUS METHOD
ELLIPSE e < 1
PARABOLA e = 1
HYPERBOLA e > 1
6. BASIC LOCUS METHOD
(DIRECTRIX-FOCUS)