Machu Picchu, Geometry Theorems, Problems, Online Education

Online Geometry: Angles Theorems and Problems- Table of Content, Page 1

Angle Index

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration. Angles and more.
Euclid's Elements Book. Index.

Point, Theorems and Problems, Index

Points, Theorems and Problems - Index.
Vertex.

Acute Angle, Slideshow

Acute Angle in the Real World - Slideshow.

Wordflex Point

Meanings and syntactic of 'ANGLE'.
Created using Wordflex Touch Dictionary for iPad in association with Oxford University Press.

Obtuse Angle Index

Obtuse Angle. Theorems and Problems.

Angles 30, 60, 120 Index

Angles: 30, 60, 120 degrees.

Angle 45, 90, 135, Theorems and Problems

Angles: 45, 135 degrees.

Angle Bisector Index

Angle Bisector.

Isogonal Lines

Isogonal Lines.
Theorems and Problems.

Billiards and Geometry Index

Billiards and Geometry - Index
Angles of Incidence and Reflection.

Bisect an angle

Book I, Proposition 9: Bisect a given angle

Incenter, Incircle, Index

Incenter. Index.
Angle bisectors.

Excenter, Excircle, Index

Excenter. Index.
Interior and Exterior Angle bisectors.

Laser Eye Surgery PRK

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.

Stone of twelve angles, Cuzco

Inca Stone of Twelve Angles, Cuzco. Tunnel effect.

Angle Bisector Theorem

Euclid's Elements Book VI, Proposition 3: Angle Bisector Theorem

Morley's Theorem

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

Mascheroni Construction with compass alone. Midpoint of a segment. Equal angles.

Interactive Simson Line

Interactive Simson Line. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Vertical angles.

Interactive Geometry

Triangle: Incircle, Perpendicular, Angle Bisector. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.

Geometry Problem 873: Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence

Geometry Problem 873
Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence.

Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees

Geometry Problem 872
Quadrilateral, Triangle, Angle, 30, 90 degrees.

Geometry problem 867, Isosceles Triangle, Median, Perpendicular, Angle, Congruence

Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence.

Geometry Problem 875

Geometry Problem 875
Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle.

Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector.

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines.

Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines.

Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 850: Triangle, Double side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 851
Triangle, Triple side, Angles, 90 Degrees, Special Right triangle, Sides ratio 1:3.

Problem 850: Triangle, Double side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 850
Triangle, Double side, Angles, 90 Degrees. Special Right triangle.

Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle

Geometry Problem 849
Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle.

Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines

Geometry Problem 835
Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines.

Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence

Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence.

Triangle, Angles, 30 Degrees

Geometry Problem 820.
Triangle, Cevian, Angles, 30 Degrees.

Quadrilateral, Triangle, Angles

Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees.

Square, Triangle, Angle

Geometry Problem 818.
Square, Triangle, Angle.

Equilateral triangles, a common vertex

Geometry Problem 814.
Two Equilateral Triangles with a common Vertex, Angle.

Triangle, Altitude, Angle

Geometry Problem 796
Triangle, Altitude, Measurement of Angles.

Triangle, Isogonal lines, Congruent angles, Perpendicular

Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint.

Why Study Geometry

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