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Simson Lines
Simson LinesAbella | Caresosa | pasigaySimson linethe line joining the feet of the perpendiculars let fall from any point on the circumcircle of a triangle upon the sides of the triangle
Prove"The simson line of diametrically opposite points on the circumcircle are perpendicular to each other and meet on the nine-point circle."
Darker Version
Darker VersionWhat can we notice about
is cyclic
Darker Version
Because they are subtended by the same arc
(subtended by the same arc)
Conclusion:
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