Conics in the Real World
Circles
The set of all points ina plane that are equidistance from a given point in the plane called the center
Equation:(x-h)2+(y-k)2=r2
- Here is fancy coaster that represents a circle
- The clock face in this antique represent a circle
This is supposed to be a table covered with a cloth and the end effect is supposed to be a circle
This 32-AAAA 2nd place Doubles DISTRICT medal thus represents one more circle
This CD is actually round but my bed is tilted so therefore it may pertain an optical illusion so dont be fooled!
Ellipses
Set of all points in a point such that the sum of the distances from the foci is constant.
Equation:(x2/a2)+(y2/b2)=1 ; (x2/b2)+(y2/a2)=1
This wedding plate was manufactured in the shape of an ellipse
In this trophy from a Brownsville tournament the racquet frame is an ellipse
Before converted to euros, the francs portrayed ellipses in the middle of their bills
This floral painting's frame is an ellipse
The crop circles and the shadow are ellipses
Parabolas
Set of points in a plane that are the same distance from a given point called the "focus" and given point called "directrix"
y=a(x-h)2+k ; x=a(y-k)2+h
This yearbook contains two parabolas.(The red and blue one)
This "fire lamp" is a parabola, the bottom curve and the chains
The handles are a parabola
Here a parabola and a foci are present
The first arch right above the circle is a parabola
Hyperbolas
Set of all points in a plane such that the absolute value of the difference of distance from any point on the hyberbola to two given points called the "foci" is constant(x2/a2)-(y2/a2)=1 ; (y2/a2)-(x2/b2)=1
The two 'arches' form a hyperbola
Two sliced pieces of papaya
Two sets of hyperbolas
Dedicated to 2nd period and Mr. T
Ricardo Rodriguez I
Pre-AP Algebra II
May 14, 2003
