Antiparallélogramme

The antiparallélogramme is a Quadrilatère of which the pairs on nonadjacent sides are equal length, but where two sides cross and who is thus not a Parallélogramme.

Properties

If the tops has, B, C and D are articulated, the figure varies but the product \ overline {constant AC} \ times \ overline {data base} reste.

  • this constant is equal to L^2 - l^2~
  • demonstration; it is done by considering the power of the point C compared to the circle of center B passing by has, to see Puissance of a point compared to a circle.

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