 |
|
|
|
|
Angle Bisector, Theorems and Problems - Table of Content 1
|
|
 |
|
|
 |
Euclid's Elements
Book I, 23 Definitions. One-page visual illustration. Angles and more.
Euclid's Elements Book.
Index. |
|
 |
Book I, Proposition 9: Bisect a given angle.
Construction of angle bisector
|
|
 |
Incenter. Index.
Angle bisectors
|
|
 |
Euclid's Elements Book VI, Proposition 3: Angle Bisector Theorem |
|
 |
Isogonal Lines.
Theorems and Problems. |
|
 |
GeoGebra, Dynamic Geometry: Incenter and Incircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
|
 |
Animated
illustration of the celebrated Morley's angle trisector theorem |
|
 |
Morley's Triangle & Center: Trisection of angles. |
|
 |
Blanchet Theorem.
Altitude, Angle Bisector.
|
|
 |
Isogonic-Jacobi
Theorem: Using TracenPoche Dynamic
Geometry Software.
Isogonal conjugate line,
reflecting line on the angle bisector |
|
 |
Triangle: Incircle, Perpendicular, Angle Bisector.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
|
 |
Heron's Formula.
Key facts and
a purely geometric
step-by-step proof.
Geometry help: Key Facts: Angle bisector.
Preliminary propositions |
|
 |
Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors |
|
 |
Geometry Problem 1550: Solving for Segment BD: An Angle Puzzle in Right Triangle ABC: A High School Level Investigation |
|
 |
Geometry Problem 1549: Unraveling the Geometric Mystery: Calculating Angle
BGE with the Incircle and Tangent in Triangle ABC |
|
 |
Geometry Problem 1547: Tangents' Dance: Exploring B-to-AC Distance in a
Circle's Grasp |
|
 |
Geometry Problem 1542: Unraveling a Geometric Puzzle with a Circumscribed
Right Triangle and Square to the Same Circle for School and College. |
|
 |
Geometry
Problem 1526: Mastering Geometry Problem-Solving: Discover the Distance Between Two Sides in a Parallelogram Using Bisectors and Distance Measures.
. |
|
 |
Geometry
Problem 1524 and a Thematic Poem.
Unlock the Mystery of Parallelograms: Discover the Length of Segment between the Intersecting Angle Bisectors. |
|
 |
Geometry
Problem 1518 and a Thematic Poem.
Boost Your Geometry Skills: Solve for the Number of Sides in an Equiangular Polygon with an Interior Point and Bisected Angle. |
|
 |
Geometry
Problem 1505.
Parallel Rays, Angles, and Bisector, Corresponding, Alternate, Conjugate. |
|
 |
Geometry
Problem 1502.
Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. |
|
 |
Geometry
Problem 1491.
Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement. |
|
 |
Geometry
Problem 1490.
Triangle, Cevian, Incircle, Tangent, Measurement. |
|
 |
Geometry
Problem 1489.
Right Triangle, Angle Bisectors, Perpendicular, Measurement. |
|
 |
Geometry
Problem 1488.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
|
 |
Geometry
Problem 1487.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
|
 |
Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra,
iPad. |
|
 |
Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra,
iPad. |
|
 |
Geometry Problem 1419.
Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint. |
|
 |
Geometry Problem 1418.
Triangle, Circumcircle, Incenter, Side, Sum of Segments, Tangent, Parallel, Angle. |
|
 |
Geometry Problem 1417.
Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. |
|
 |
Geometry Problem 1385.
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points. |
|
 |
Geometry Problem 1384.
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, 90 Degree. |
|
 |
Geometry Problem 1366.
Square, Angle Bisector, Perpendicular, Concyclic Points, Circle, Sketch, iPad Apps. |
|
 |
Geometry Problem 1364.
Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps. |
|
 |
Geometry Problem 1363.
Square, Angle Bisector, Perpendicular, 45 Degrees, Angle, Sketch, iPad Apps. |
|
 |
Geometry Problem 1347.
Triangle, Angle Bisector, Congruence, Circumcircle, Tangent, Equilateral Triangle. |
|
 |
Problem 1341.
Geometry Problem 1341: Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector.
|
|
 |
Geometry Problem 1326.
Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees. |
|
 |
Geometry Problem 1324.
Quadrilateral, Diagonal, 45 Degrees, Angle Bisector, Isosceles Triangle, Congruence. |
|
 |
Geometry Problem 1322.
Triangle, Angle Bisector, Circumcircle, Chord, Secant, Sum of two Angles. |
|
 |
Geometry Problem 1307.
Triangle, Incenter, Parallel line, Sides, Measurement. |
|
 |
Geometry Problem 1305.
Triangle, Circumcircle, Angle Bisector, Arc, Perpendicular, Area. |
|
 |
Geometry Problem 1304.
Triangle, 120 Degrees, Angle Bisector, Measurement. |
|
 |
Geometry Problem 1303.
Triangle, 60 Degrees, Angle Bisector, Measurement. |
|
 |
Geometry Problem 1298.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint. |
|
 |
Geometry Problem 1297.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector. |
|
 |
Geometry Problem 1290.
Triangle, Internal Angle Bisector, Median, Parallel, Measurement, Metric Relations. |
|
 |
Geometry Problem 1274.
Isosceles Triangle, 80-20-80 Degrees, Area, Inradius, Circumradius, Angle Bisector, Metric Relations, Measurement. |
|
 |
Geometry Problem 1271.
Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points. |
|
 |
Geometry Problem 1270.
Triangle, Excircle, Excenter, Escribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
|
 |
Geometry Problem 1269.
Triangle, Incircle, Incenter, Inscribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
|
 |
Geometry Problem 1268.
Triangle, Exterior Angle Bisector, Circumcircle, Circle, Chord, Parallel, Concyclic Points, Cyclic Quadrilateral. |
|
 |
Geometry Problem 1266.
Triangle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
|
 |
Geometry Problem 1265.
Triangle, Incircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
|
 |
Geometry Problem 1264.
Triangle, Exterior Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines. |
|
 |
Geometry Problem 1260.
Triangle, Internal Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines. |
|
 |
Geometry Problem 1256.
Parallelogram, Angle Bisector, Measurement. |
|
 |
Geometry Problem 1249.
Cyclic Quadrilateral, Circle, Triangle, Circumcircle, Angle Bisector, Parallel Lines, Area. |
|
 |
Geometry Problem 1243.
Quadrilateral, Four Exterior Angle Bisectors, Semi-sum, Angles. Mobile Apps. |
|
 |
Geometry Problem 1242.
Quadrilateral, Four Interior and Exterior Angle Bisectors, Collinearity, Concurrent Lines. Mobile Apps. |
|
 |
Geometry Problem 1241.
Quadrilateral, Four Exterior Angle Bisectors, Cyclic Quadrilateral, Circle. Mobile Apps. |
|
 |
Geometry Problem 1231
Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle. |
|
 |
Geometry Problem 1227
Triangle, Circumcircle, Angle Bisector, Concyclic Points, Cyclic Quadrilateral. |
|
 |
Geometry Problem 1225
Equilateral Triangle, Circumcircle, Angle Bisector, Congruence. |
|
 |
Geometry Problem 1217
Triangle, Circle, Excenter, Incenter, Angle Bisector, Cyclic Quadrilateral, Circumcircle, Tangent Line. |
|
 |
Geometry Problem 1214
Triangle, Three Angle Bisectors, Proportions. |
|
 |
Geometry Problem 1211
Right Triangle, Altitude, Angle Bisector, 45 Degrees. |
|
Go to Page:
Previous |
1 |
2 |
3 |
4 |
5 |
Next
|
|
|
|
|
|
 |
|