Ellipse is defined as a curve traced out by a point moving in a plane such that its distance from the fixed point (called focus) is always less than its distance from a fixed line (called directrix).
ELLIPSE Ellipse is defined as a curve traced out by a point moving in a plane such that its distance from the fixed point (called focus) is always less than its distance from a fixed line (called directrix). An ellipse can also be defined as a curve traced out by a point moving in a plane such that the sum of its distances from two fixed points is a constant. (It is to be noted that an ellipse has two foci and two directrices) Referring the Fig. 6.4, = a constant (a1 + b1) = (a2 + b2) = (a3 + b3) = (a4 + b4) = a The important terms related to an ellipse are explained below. 1. Major axis: It is the line which passes through the foci. 2. Minor axis: It is the line which passes through the geometrical centre of the ellipse and perpendicular to the major axis. 3. Major diameter: It is the diameter of the circle described on the major axis of the ellipse. 4. Minor diameter: It is the diameter of the circle described on the minor axis of the ellipse. 5. Tangent to ellipse: It is a line which passes through a point on the ellipse. 6. Normal to an ellipse: Normal to an ellipse at any point is the perpendicular to the tangent at that point.
Engineering Graphics: Unit I (c): Conic Sections : Tag: : Engineering Graphics (EG) - Ellipse
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