1Diapositiva 12

Apuntes

[Diapositiva 1] Hyperbola Math iii: topic 8 [Diapositiva 2] Hyperbola Cuéllar (2019) defines hyperbola as "the geometric place of all points in the plane where the absolute value of the differences of their distances to two fixed points, called foci, is constant.” [Diapositiva 3] Components of a hyperbola Vertices : They are located on the transverse axis at a distance  a  from the center of the hyperbola. Foci : Fixed points that are located on the transverse axis at a distance  c  from the vertices. Focal length : Distance between vertex and focus. Transversal axis : line segment whose length is the distance between the vertices. Conjugate axis : Line segment perpendicular to the transverse axis passing through the center of the hyperbola. Latus rectum : Line segments perpendicular to the transverse axis that pass through the foci whose ends are two points of the hyperbola. [Diapositiva 4] Components of a hyperbola Center : Point where the transverse axis and the conjugate axis intersect. Fundamental rectangle : Imaginary rectangle that serves as support to trace the hyperbola, two of its sides are perpendicular to the transverse axis and pass through the vertices and the oth...