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How many lines bisect both perimeter and area of a 3-4-5 triangle?
geometry
euclidean-geometry
Prove that the incircle is the smallest circle which passes through the three sides of a triangle
geometry
euclidean-geometry
Gödel's (in)completeness theorems and the axiomatization of Euclidean geometry
euclidean-geometry
axioms
incompleteness
Mathematics and the art of linearizing the circle
modular-arithmetic
euclidean-geometry
projective-geometry
visualization
art
How many isosceles, right-angled, INSCRIBED triangles exist in an ellipse?
geometry
euclidean-geometry
triangles
Find a circle orthogonal to two other circles
geometry
euclidean-geometry
circles
Fit a equilateral triangle on three arbitrary parallel lines with an edge and compass
euclidean-geometry
Is this really an open problem? Maximizing angle between $n$ vectors
geometry
reference-request
euclidean-geometry
open-problem
Prove the sum of intern angles of a quadrilateral is equal to 360º
geometry
euclidean-geometry
Why Euclidean geometry cannot be proved incomplete by Gödel's incompleteness theorems?
logic
euclidean-geometry
incompleteness
Given $\triangle ABC$ isosceles with base AB, M and N the midpoints of the equal sides. Show the reflection of C is the midpoint of AB
geometry
proof-explanation
euclidean-geometry
triangles
Geometry Construction Problems
geometry
euclidean-geometry
geometric-construction
Why the surface of the sphere is not a Euclidean space?
manifolds
euclidean-geometry
Why the interest in locally Euclidean spaces?
geometry
differential-geometry
euclidean-geometry
What does Heron's formula naturally deform?
combinatorics
euclidean-geometry
symmetric-groups
symmetric-polynomials
symmetric-functions
:Find the area of the shaded region $ABC$ in the figure below
geometry
euclidean-geometry
plane-geometry
Prove the diagonals of rhumbus are perpendicular and angles bisector
geometry
solution-verification
proof-explanation
euclidean-geometry
triangles
Find the angles of given triangle ABC
geometry
euclidean-geometry
triangles
plane-geometry
angle
Find the area of the triangular region KHQ,
geometry
euclidean-geometry
triangles
alternative-proof
plane-geometry
Angles of triangle $\triangle XYZ$ do not depend on the position of point $P$ (proof needed)
geometry
euclidean-geometry
triangles
quadrilateral
geometric-transformation
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