Léon Anne's Theorem

Pick a point in the interior of a Quadrilateral which is not a Parallelogram. Join this point to each ofthe four Vertices, then the Locus of points for which the sum of opposite Triangleareas is half the Quadrilateral Area is the line joining the Midpoints and ofthe Diagonals.

References

Honsberger, R. More Mathematical Morsels. Washington, DC: Math. Assoc. Amer., pp. 174-175, 1991.

• Nephroid Evolute
• Nephroid Involute
• Nerve
• Nested Hypothesis
• Nested Radical
• Net
• Net (Polyhedron)
• Netto's Conjecture
• Network
• Neuberg Circles
• Neumann Algebra
• Neumann Boundary Conditions
• Neumann Function
• Neumann Polynomial
• Neumann Series (Bessel Function)
• Neumann Series (Integral Equation)
• Neusis Construction
• Neville's Algorithm
• Neville Theta Function
• Newcomb's Paradox
• Newman-Conway Sequence
• Newton-Cotes Formulas
• Newtonian Form
• Newton Number
• Newton-Raphson Fractal