 Parabola : “… is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface.”

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Presentation transcript:

 Parabola : “… is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface.” y(x) = x 2

 Suspension Bridges  Parabolic Antenna  Optical Lenses  Projectile Motion

 Hanging Chain = Catenary, y = Cosh(x) - 1 Hanging Chain & Weight = Parabola, y = x 2 Hangin’ with Mr. Cooper = Awesome show from the 90s

 Arch  Cantilever  Suspension  Cable- stayed  Truss Truss Suspension Beam

 Main parts: › Towers › Deck › Anchorage › Cables › Stringers Tibetan architect and engineer Thangtong Gyalpo was the first to use the “suspension bridge” idea circa 1430

 y = Ax 2 + Bx + C  (y-k) 2 = 4p(x-h) › (h, k) : Vertex of the Parabola › p| : Distance from the Vertex › p : Direction Parabola Opens › (h+p, k) when p is positive or (h, k+p) when p is negative = Focus