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Results tagged with mg.metric-geometry
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user 265714
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
5
votes
1
answer
526
views
Twin circles in a quadrilateral
The circumcenters of the four triangles of a complete quadrilateral along with the two points of completion form two congruent circles (in black).
Surely this must've been done before - what's the fo …
- 1,109
3
votes
1
answer
248
views
Nagel line of a tetrahedron?
It's well known that there is an analogy for the Euler line in a tetrahedron, but is there also an analogy for the nagel line of a tetrahedron? I can't seem to find any decent literature talking about …
- 1,109
3
votes
1
answer
278
views
Name this kimberling center
The lines which connect the vertices of a triangle with the tangent points between the Spieker circle and the medial triangle are concurrent. Which kimberling center does this point correspond to?
- 1,109
2
votes
0
answers
137
views
Name of this geometric point? [closed]
Draw a triangle. At one of the vertices, draw a line through it that bisects the angle. At each of the other two vertices, draw a line through it which is perpendicular to the line that bisects its an …
- 1,109
1
vote
0
answers
65
views
Name of the perspector of the orthic triangle and excentral triangle
The orthic triangle and tangential triangles of a given triangle are in perspective. What's the official kimberling center associated with this perspector?
- 1,109
1
vote
0
answers
158
views
A certain circle formed by perpendiculars
If six points are chosen, two points on each side of a triangle, such that they have the same ratio of distances to vertices, then the perpendicular lines through those points meet at six concyclic p …
- 1,109
0
votes
1
answer
131
views
Name this geometric point?
Is there a formal name for the point which is the reflection of the incenter about the circumcenter of a triangle?
- 1,109
0
votes
0
answers
77
views
Coordinates of the centers of the insphere and circumsphere
Suppose we are working in $\mathbb{R}^3$ space and we have four non-coplanar and non-collinear points, $(x_a, y_a, z_a)$, $(x_b, y_b, z_b)$, $(x_c,y_c, z_c)$, and $(x_d, y_d, z_d)$. How does one deter …
- 1,109