Arc and Ellipse

Arc and Ellipse

1. To draw an arc of a circle of given radius tangent to a given straight line and passing through a given point outside

the line.

2. To draw an arc of a given radius touching two given straight lines inclined at any angle to each other.

ORTo draw an arc of given radius touching two straight lines at right 8rngles to each other

To draw an arc of a given radius, touching two given straight lines making an angle between them.

To draw an arc of a given radius touching a given straight line and a given circular arc.

To draw an arc of a circle of a given radius touching two given arcs.

To draw a tangent to a circle construction

(a)At any point P on the circle.(b) From any point outside the circle. Op as

a diam

Ellipse

An ellipse is constructed in several methods, few of which are1.Four-center method (an approximate method)2.Concentric circles method3.Parallelogram or conjugate diameter method.

Four-center method (an approximate method)

b. Constructing ellipse by concentric circles method

Constructing an ellipse by parallelogram method