ASSIGNMENT-1(ENGINEERING CURVES I)

SWN | ASSIGNMENT-1

Indus University

CSE Section

ASSIGNMENT-1

1).Define : (i) Ellipse (ii) parabola (iii)Hyperbola

Ans:

  • Ellipse :

    An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve. The fixed line is directrix and the constant ratio is eccentricity of ellipse.

  • Parabola :

    A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus. The hyperbola can be defined as the difference of distances between a set of points, which are present in a plane to two fixed points, is a positive constant. A parabola has single focus and directrix.

  • Hyperbola :

    A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone.




2).Construct Ellipse to be inscribed in a parallelogram of dimension 100 mm and 70 mm. 75° inclined with horizontal.


3).Draw an Ellipse having major axis 120 mm and minor axis 80 mm. Use Oblong method.


4).If Base is 130 mm and axis length 85 mm, draw parabola by rectangle method.


5).Draw the parabola by Tangent method with base = 120 mm and Axis length =85 mm.







6).Draw the parabola by Tangent method with base = 120 mm and Axis length =85 mm.