Engineering Graphics: Unit I (c): Conic Sections
Hyperbola
Engineering Graphics (EG)
Hyperbola is a curve traced out by a point moving in a plane such that the difference between its distances from two fixed points (called the foci), is a constant.
HYPERBOLA Hyperbola is a curve traced out by a point moving in a plane such that the difference between its distances from two fixed points (called the foci), is a constant. A hyperbola has two branches, two foci and two directrices as shown in Fig. 6.20. Sum of the distances of the point measured from two Foci ie., (F1P+ PF2) is known as length of Thread. It is also to be noted that (PF1 - PF2) = a constant, which is equal to the distance V1 - V2 ie., the distance between the vertices. A single branch of hyperbola is defined as the locus of a point P moving in a plane such that the ratio of its distance from a fixed point, called focus to the fixed straight AAA RO MOTOUR line, called Directrix is a constant and is always greater than unity. Eccentricity, e = Distance of the point from Focus / Distance of the point from Directrix = a constant > 1 Refering the Fig. 6.21, e = FP/PM For a single branch of hyperbola, definitions like Fig. 6.21 Focus, Directrix, Abscissa, Ordinate, Double ordinate, Latus to elsoa Rectum etc., are defined as explained for a parabola.
Engineering Graphics: Unit I (c): Conic Sections : Tag: : Engineering Graphics (EG) - Hyperbola
Engineering Graphics: Unit I (c): Conic Sections
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Engineering Graphics
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