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Geometría Plana: Punto Medio, Teoremas y Problemas
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Teoremas y Problemas. |
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Puntos, Teoremas y Problemas
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Mediatriz de un Segmento.
Punto medio,
Teoremas y Problemas |
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Teorema de la Mariposa
Demostración animada.
Punto medio de una cuerda. |
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Mediana del Trapecio, Teoremas y Problemas
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Teorema de Newton:
Recta de Newton. Cuadrilátero circunscrito, Puntos medios de las
diagonales, Centro de la circunferencia inscrita.
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Cuadrilátero Equílico.
60,
120 grados. Puntos medios. |
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Teorema de Kurschak.
Jozsef Kurschak (Hungría, 1864-1933) Elegante forma de encontrar el área
de un dodecágono regular a partir de los puntos medios de los lados de
un cuadrado. |
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Paralelogramos de Varignon y Wittenbauer. Cuadrilátero: Puntos medios y
trisección de los lados.
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Longitud de la Mediana, Teorema de Apolonio
Puntos medios. |
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Teorema de van Aubel.
Cuadrilátero con cuadrados sobre sus lados. Demostración animada.
Puntos medios. |
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Punto Simediano (Lemoine)
Puntos notables del triangulo |
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Archimedes' Book of Lemmas:
Proposition 7
Square and inscribed and circumscribed Circles Puntos medios.
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Archimedes' Book of Lemmas:
Proposition 2
Semicircle, diameter, tangents, secant line.
Puntos medio. |
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Archimedes' Book of Lemmas:
Proposition 3
Semicircle, perpendicular to diameter, chords.
Puntos medio. |
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Archimedes' Book of Lemmas:
Proposition 10
Tangents to a circle, secant line and chords, Parallel.
Puntos medio. |
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Archimedes' Book of Lemmas:
Proposition 15
Circle, Diameter, Inscribed Regular Pentagon, Arc, Puntos medio,
Perpendicular, Radius. |
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Bottema's Theorem:
Triangle and Squares with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.
Puntos medios. |
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Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation.
Perpendiculars from the Puntos medios. |
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Marion
Walter's Theorem: Triangle and Hexagon areas:
Using TracenPoche Dynamic Geometry Software.
Puntos medios. |
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Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.
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Mascheroni
Construction with compass alone. Puntos medio of a segment.
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Heron's Formula with medians.
Puntos medios. |
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Mittenpunkt Point
Puntos medios. |
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Geometry Problem
802
Scalene Triangle, Median, Perpendicular, Angle, Measurement. |
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Geometry Problem
801
Equilateral Triangles, Cevian, Puntos medio, Distance, Measurement, Metric Relations. |
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Geometry Problem 795
Intersecting Circles, Common Chord, Puntos medio, Tangent, Secant Line, Perpendicular, 90 Degrees. |
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Geometry Problem 791
Regular Hexagon, Puntos medios of Side and Diagonal, Equilateral Triangle, Area. |
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Geometry Problem 788
Intersecting Circles, Secant Line, Puntos medio, Cyclic Quadrilateral. |
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Geometry Problem 784
Triangle, Orthocenter, Puntos medio of a side, Perpendicular. |
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Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude,
Puntos medio. |
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Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Puntos medio, Perpendicular. |
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Geometry Problem 779
Triangle, Altitude, Orthocenter, Puntos medio, Angle, 90 Degrees. |
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Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center,
Puntos medio. |
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Geometry Problem 773
Intersecting Circles, Puntos medio, Secant line, Bisection. |
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Geometry Problem 772
Similar triangles with a Common Vertex, Equal Angles, Puntos
medios, Metric relations. |
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Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Puntos medio of arc, Parallel to chord, Congruence. |
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Geometry Problem 762
Parallelogram, Puntos medio, Perpendicular, Congruence, Isosceles triangle. |
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Geometry Problem 755.
Equilateral Triangle, Circumcircle, Chord, Arc, Puntos
medios, Perpendicular. |
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Geometry Problem
742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter, Circumradius,
Puntos medio, Distance, Square, Metric Relations. |
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Geometry Problem
741.
Scalene Triangle, Incenter, Circumcircle, Puntos medio, Arc, Congruence. |
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Geometry Problem
734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence,
Puntos medio. |
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Geometry Problem
729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular,
Puntos medio. |
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Geometry Problem
726.
Isosceles Triangle, Perpendicular, Puntos medio, 90 Degrees. |
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Geometry Problem
725.
Kurschak's Dodecagon, Square, Equilateral Triangle, Puntos
medios, 30, 60 Degrees. |
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Geometry Problem
714.
Triangle, Parallel, Cevians, Puntos medios, Median, Ceva Theorem. |
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Geometry Problem
711.
Rectangle, Puntos medio, Angle, Concyclic Points, Cyclic Quadrilateral. |
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Geometry Problem
710.
Parallelogram, Puntos medio, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence. |
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Geometry Problem
709.
Parallelogram, Puntos medio, Diagonal, Metric Relations, Triangle. |
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Geometry Problem
704.
Triangle, Orthocenter, Altitude, Puntos medio, Perpendicular. |
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Geometry Problem 679.
Triangle, Circle, Median, Proportion. |
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Geometry Problem 677.
Parallelogram, Puntos medio, Diagonal, Metric Relations. |
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Geometry Problem 669.
Triangle, Circumcircle, Incenter, Puntos medio, Collinear points, Mind Map. |
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Geometry Problem 632.
Triangle, Interior and Exterior Angle Bisectors, Puntos medios, Collinear Points. |
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Geometry Problem
594.
Triangle, Incenter, Incircle, Inradius, Tangency Point, Puntos medio, Altitude, Angle, Half the Difference. |
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Geometry Problem
592.
Triangle, Incenter, Incircle, Tangency Point, Puntos medios, Concurrent Lines, Congruence. |
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Geometry Problem
591.
Triangle, Incenter, Incircle, Inradius, Tangency Point, Puntos medio, Altitude. |
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