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Transform Your Geometry Education with HTML5 and Dynamic Geometry: Learn in a Fun, Visual, and Interactive Way
 HTML5 is a programming language that allows for the
creation of dynamic and interactive websites. Dynamic
Geometry, on the other hand, refers to the use of computer
software to create and manipulate geometric figures in real
time. By using HTML5, developers can create web-based
interactive geometry software that can be accessed from any
device with a web browser, including desktop computers,
laptops, tablets, and smartphones.
With HTML5, it is
possible to create interactive geometry applications that
allow users to manipulate geometric objects, change their
size and shape, and explore mathematical concepts in a
dynamic and engaging way. These applications can also
include visualization tools such as graphs and charts,
allowing users to see and understand mathematical
relationships and patterns.
Overall, HTML5 provides a
powerful platform for creating dynamic geometry applications
that can be used for educational purposes, as well as for
research and exploration in the field of mathematics.
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Table of content. |
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Langley's Problem: HTML5 animation'
Adventitious angles. 20° isosceles triangle with animation. |
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HTML5 and Dynamic Geometry. |
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Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1478.
Cyclocevian, Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1477.
Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1476.
Droz-Farny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1475.
Clifford Intersecting Circles Theorem, Step-by-step Illustration, GeoGebra, iPad. |
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Dynamic Geometry 1474.
Butterfly Theorem, Circle, Chords, Midpoints, Step-by-step Illustration. |
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Dynamic Geometry 1473.
Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration. |
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Dynamic Geometry 1472.
Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration. |
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Dynamic Geometry 1471.
Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration. |
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Dynamic Geometry 1470.
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, Step-by-step Illustration. |
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Dynamic Geometry 1469.
Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances, Step-by-step Illustration. |
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Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration. |
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Geometry Problem 1466.
Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1464.
Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1463.
Parallelogram, Interior Point, Opposite Triangles with Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1462.
Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals,
Collinear Points. |
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Dynamic Geometry
1460.
Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals,
Collinear Points, Step-by-step Illustration using GeoGebra. |
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Geometry
Problem 1459.
Two Triangles, Orthocenter, Midpoint, Perpendicular, Step-by-step Illustration using GeoGebra. |
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Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra. |
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Geometry
Problem 1457.
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Step-by-step illustration using GeoGebra. |
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Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra. |
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Geometry
Problem 1455.
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. Step-by-step illustration using GeoGebra. |
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Geometry
Problem 1454.
Intersecting Circles, Perpendicular Lines, Cyclic Quadrilateral, Collinear
Points,
iPad. Step-by-step illustration using GeoGebra. |
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Dynamic Geometry 1452.
Japanese Theorem, Sangaku,
Cyclic Quadrilateral, Incenter, Rectangle, Inradius. Step-by-step
illustration using GeoGebra. |
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Dynamic Geometry 1451.
Orthopole of a Line. Step-by-step
illustration using GeoGebra. |
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Dynamic Geometry 1450.
Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters. Step-by-step
illustration using GeoGebra. |
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Dynamic Geometry 1449.
Salmon Line. Step-by-step
illustration using GeoGebra. |
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Dynamic Geometry 1448.
Simson Line. Step-by-step
illustration using GeoGebra. |
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Dynamic Geometry Problem 1447.
Outer Vecten Point. Step-by-step
illustration using GeoGebra. |
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Dynamic Geometry Problem 1446.
Lemoine Line, triangle, circumcircle, tangent, collinear points. Step-by-step animation using GeoGebra. |
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Dynamic Geometry Problem 1445.
Van Aubel's theorem, Quadrilateral and Four Squares, Centers. Step-by-step animation using GeoGebra. |
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Dynamic Geometry Problem 1444.
The Asymmetric Propeller Theorem, Equilateral Triangles, Midpoints. Using GeoGebra. |
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First Ajima-Malfatti Point: HTML5 animation.
Step-by-step animation. |
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Second Ajima-Malfatti Point: HTML5 animation.
Interactive illustration. |
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Apollonius' Problem for Three Circles: HTML5 animation.
Interactive illustration. |
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Equal Incircles Theorem: HTML5 animation.
Step-by-Step Illustration.
Geometric Art using iPad Apps |
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Eyeball Theorem: HTML5 version.
Animated Angle to Geometry Study. |
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Lemoine Theorem: HTML5 animation |
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Butterfly Theorem: HTML5 animation.
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Miquel's Pentagram Theorem: HTML5 version.
Interactive proof with animation and key theorems. |
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Morley's Trisector Theorem: HTML5 animation. |
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Nine-Point Center, Nine-Point Circle, Euler Line: HTML5 Animation for iPad.
Circumcenter, Centroid, Orthocenter.
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Euler and his beautiful and
extraordinary formula that links the 5 fundamental constants in
Mathematics, namely, e, i, Pi , 1 and 0, together!
HTML5 Animation for iPad and Nexus
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Nagel Point
Theorem. Proof.
Triangle and excircles. Animation.
Adobe Flash. |
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Seven Circles Theorem. Animation.
Adobe Flash. |
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Semiperimeter and incircle |
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Semiperimeter and excircles of a triangle |
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Semiperimeter, incircle and excircles of a triangle |
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Gergonne Point Theorem |
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Ceva's Theorem.
Concurrency.
Interactive proof with animation. Key concept:
Menelaus Theorem. |
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Menelaus' Theorem.
Interactive proof with animation and key concepts..
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Johnson's Theorem |
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Simson Line.
Animation, Proof.
Adobe Flash. |
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Angle between two
Simson Lines |
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Sangaku Problem |
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The
Bevan Point |
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Clifford's Circle Chain
Theorems |
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Kurschak's Tile and Theorem |
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