parabola : “… is a conic section, the intersection of a right circular conical surface and a...
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Parabolic ParanoiaWhat are they good for?
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What exactly is it? 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) = x2
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Where are all the parabolas?
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Where are all the parabolas?
Suspension Bridges Parabolic Antenna Optical Lenses Projectile Motion
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Not Just A Hanging Chain
Hanging Chain= Catenary,
y = Cosh(x) - 1
• Hanging Chain & Weight
= Parabola, y = x2
• Hangin’ with Mr. Cooper= Awesome show from the 90s
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Types of Bridges
Arch Cantilever Suspension Cable-
stayed Truss
• Truss• Suspension• Beam
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Suspension Bridges
Main parts:› Towers› Deck› Anchorage› Cables› Stringers
• Tibetan architect and engineer Thangtong Gyalpo was the first to use the “suspension bridge” idea circa 1430
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Equation of a parabola
y = Ax2 + 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
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