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  2. Acute and obtuse triangles - Wikipedia

    en.wikipedia.org/wiki/Acute_and_obtuse_triangles

    Likewise, a triangle's circumcenter—the intersection of the three sides' perpendicular bisectors, which is the center of the circle that passes through all three vertices—falls inside an acute triangle but outside an obtuse triangle. The right triangle is the in-between case: both its circumcenter and its orthocenter lie on its boundary.

  3. Circumcircle - Wikipedia

    en.wikipedia.org/wiki/Circumcircle

    The circumcenter is the point of intersection between the three perpendicular bisectors of the triangle's sides, and is a triangle center. More generally, an n -sided polygon with all its vertices on the same circle, also called the circumscribed circle, is called a cyclic polygon , or in the special case n = 4 , a cyclic quadrilateral .

  4. Delaunay triangulation - Wikipedia

    en.wikipedia.org/wiki/Delaunay_triangulation

    A circle circumscribing any Delaunay triangle does not contain any other input points in its interior. If a circle passing through two of the input points doesn't contain any other input points in its interior, then the segment connecting the two points is an edge of a Delaunay triangulation of the given points.

  5. Bisection - Wikipedia

    en.wikipedia.org/wiki/Bisection

    The interior perpendicular bisector of a side of a triangle is the segment, falling entirely on and inside the triangle, of the line that perpendicularly bisects that side. The three perpendicular bisectors of a triangle's three sides intersect at the circumcenter (the center of the circle through the three vertices). Thus any line through a ...

  6. Thales's theorem - Wikipedia

    en.wikipedia.org/wiki/Thales's_theorem

    Thales’ theorem: if AC is a diameter and B is a point on the diameter's circle, the angle ∠ ABC is a right angle.. In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle.

  7. The 7 Rules That Made Me a Better Interior Designer - AOL

    www.aol.com/entertainment/7-rules-made-better...

    Here, interior design experts share some of the hard-won lessons they’ve learned along the way.RELATED: A Home Stager’s Secrets to Make Your House Look... The 7 Rules That Made Me a Better ...

  8. Triangle center - Wikipedia

    en.wikipedia.org/wiki/Triangle_center

    In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example, the centroid, circumcenter, incenter and orthocenter were familiar to the ancient Greeks, and can be obtained by simple constructions.

  9. The top interior designers and architects to look out for in ...

    www.aol.com/news/top-interior-designers...

    Architectural Digest has revealed 2024’s most influential interior designers and architects, with the latest edition of their annual AD100 list.