Hyperbola:

The hyperbola can be described like a curve generated via a point moving hence at any position the variation of its distances from two fixed points or Foci is a constant and is equal to the transverse axis of the hyperbola. This definition of hyperbola is the basis for the construction displayed in diagram.

For construct a hyperbola sketch foci F₁ and F₂ and the transverse axis AB as per the specified data. By using F₁ and F₂ as centers and any radius R1 greater than F1B, strike arcs. Along with these similar centers and a radius equal to R₁ - AB, strike arcs intersecting the first arcs at point P. here point P is on the desired hyperbola. Repeat this procedure and situate like many additional points like P₁, P₂ and so forth, as are desired to form the hyperbola. Connect these points via smooth curve or along with a French curve to draw the hyperbola.