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Τρίτη 14 Μαΐου 2024
Newton's and Léon Anne's Theorems
Newton Theorem
The center of the circle inscribed into a quadrilateral lies on the line joining the midpoints of the latter's diagonals.
Léon Anne Theorem
In any quadrilateral
A
B
C
D
that is not a parallelogram, the locus of points
O
such that
[
A
O
B
]
+
[
C
O
D
]
=
[
B
O
C
]
+
[
A
O
D
]
is
Newton's line
of the quadrilateral.
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