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Angles Theorems and Problems- Table of Content
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Euclid's
Elements Book I, 23 Definitions. One-page visual illustration. Angles
and more.
Euclid's
Elements Book. Index. |
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Points, Theorems and Problems - Index.
Vertex. |
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Angles: 30, 60, 120 degrees. |
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Angles:
45, 135 degrees. |
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Angle Bisector. |
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Book I,
Proposition 9: Bisect a given angle
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Incenter.
Index.
Angle bisectors.
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Excenter.
Index.
Interior and Exterior
Angle bisectors.
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PRK and Laser Eye Surgery.
The light rays, upon being transmitted through the lens, are refracted to an angle causing them to converge directly at the fovea, which is the area of the retina with the highest concentration of light sensitive cells.
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Inca Stone
of Twelve Angles, Cuzco.
Tunnel effect. |
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Euclid's Elements Book VI, Proposition 3: Angle Bisector Theorem |
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Animated illustration of the celebrated Morley's
angle trisector theorem |
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Morley's Triangle & Center: Trisection of angles. |
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Blanchet Theorem.
Altitude, Angle Bisector.
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Isogonic-Jacobi Theorem: Using TracenPoche Dynamic
Geometry Software |
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Mascheroni Construction with
compass alone. Midpoint of a segment.
Equal angles. |
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Interactive
Simson Line.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Vertical angles. |
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Triangle: Incircle, Perpendicular, Angle Bisector.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Proposed Problem
274.
Isosceles Triangle, 80-80-20, Angles. |
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Proposed Problem
216. Quadrilateral, Angle Bisectors, and Concurrency.
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Proposed Problem
215.
Quadrilateral, Angle Bisectors, and Cyclic
Quadrilateral.
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Proposed Problem
208. Triangle, Excircles, Angles, 360 degrees. |
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Proposed Problem 199. Triangle, Quadrilateral, Angles.
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Proposed Problem
198. Triangle, Quadrilateral, Angles.
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Proposed Problem
187. Right Triangle, Altitude, Incenters, Circles,
Angles. |
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Proposed Problem
185. Trapezoid, Triangles and Angles.
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Proposed Problem
184. Triangle and Angles.
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Proposed Problem
182. Overlapping Circles, Find an angle.
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Proposed Problem
181. Circular Sector of 90 degrees, find an angle.
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Proposed Problem
179. Rhombus, Square, Diagonal, Angle.
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Proposed Problem
134. Orthic Triangle, Altitudes, Angle Bisectors, Orthocenter, Incenter. |
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Proposed Problem
133. Triangle, Angle Bisectors,
Collinear Points.
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Triangle with the bisectors of the
exterior angles. Collinearity. Key concept:
Menelaus Theorem.
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Proposed Problem
128. Incenter of a Triangle, Angle Bisectors, Sum of Ratios.
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Proposed Problem
127. Centroid and Incenter of a Triangle,
Parallel, Proportions.
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Proposed Problem
126. Incenter of Triangle, Angle Bisector, Proportions.
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Proposed Problem
111. Orthogonal Circles (two
circles that are perpendicular at their intersection). |
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Proposed Problem
109. Angles, Right Triangle, Cevian.
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Proposed Problem
108. Angles, Triangle, Median. |
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Proposed Problem
107. Angles, Triangle. Cevian. |
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Proposed Problem
106. Angles, Triangle. Cevian. |
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Proposed Problem
105.Angles, Triangle. Interior
Point. |
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Proposed Problem
104. Angles, Triangle. |
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Proposed Problem
101.Equilateral Triangle,
Pythagorean Theorem, Angles. |
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Proposed Problem
1: Angles of a Triangle.
Midpoint, Congruence. Hints are provided. |
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Proposed Problem
13: Angles of a Triangle. Hints
are provided. |
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Proposed Problem
77: Angles of a Circle. Parallel
lines, Cyclic quadrilateral.
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Proposed Problem 74: Three Intersecting Circles.
Cyclic quadrilateral, Angles.
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Proposed Problem 73: Three Intersecting Circles.
Cyclic quadrilateral.
Angles.
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Proposed
Problem 72: Intersecting Circles.
Cyclic quadrilateral, Chords, Parallel.
Angles.
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Proposed
Problem 71: Cyclic Quadrilateral.
Angles
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Proposed Problem 67: Triangle, Circumcircle, Angles, Cyclic
Quadrilateral.
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Proposed Problem 60: Isosceles
triangle and angles. |
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Proposed Problem
57: Angle bisector, circles Cyclic
Quadrilateral. |
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Proposed Problem
56: Angle bisector, circles Parallel
Lines. |
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Proposed Problem
55: Angle bisector, circles Cyclic
Quadrilateral. |
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Proposed Problem
54: Angle bisector, circles Midpoint of
arc. |
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Proposed Problem
53: Angle bisector, circles |
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Proposed Problem 52:
Triangle, angles, incircle.
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Proposed Problem
50.
Triangle with Equilateral triangles.
Seventeen conclusions. Angles
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Proposed Problem 49.
Angles and right triangle.
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Proposed Problem 48.
Angles and triangles.
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Proposed Problem 47.
Angles and triangles.
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Proposed Problem 46.
Angles and triangles.
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Proposed Problem 45.
Angles and triangles.
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Proposed Problem 44.
Angles and triangles.
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Proposed Problem 43.
Angles and triangles. |
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Proposed Problem 42.
Angles and triangles. |
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Proposed Problem
40.
Triangle, Incenter, Excenter, Angles 80, 40, Distances. |
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Proposed
Problem 39.
Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles. |
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Proposed Problem 38.
Right
Triangle, altitude, incircles, incenters, and angles. |
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Proposed Problem 37.
Right
Triangle, altitude, incircles, incenters, orthocenter, and angles. |
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Proposed Problem 33.
Triangle and quadrilateral. Angles. |
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Geometry
Test: Angles K-12 |
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Geometry Online
Glossary . Angles and more.
Geometry Glossary based on the new New York State
mathematics standards initiative. |
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