Showing posts with label arbelos. Show all posts
Showing posts with label arbelos. Show all posts

Tuesday, January 29, 2019

Geometry Problem 100. Circle Area, Archimedes' Book of Lemmas, Arbelos, Areas

Geometric Art: Typography, iPad
Oumuamua, the first known interstellar object


Details: Click on the figure below.

Geometric Art Typography of Geometry: Ptolemy's Theorem: Cyclic Quadrilateral: Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity, iPad Apps.

Sunday, November 26, 2017

Saturday, December 31, 2016

Geometry Problem 1301: Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1301: Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency.

Friday, December 30, 2016

Geometry Problem 1300: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1300 Elements: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines.

Mosaic of Geometry Problem 1298 Arbelos, Semicircles, Diameters, Circle

Geometric Art: Mosaic, iPad Apps

Details: Click on the figure below.

Mosaic of Geometry Problem 1298 Arbelos, Semicircles, Diameters, Circle.

Saturday, December 24, 2016

Geometry Problem 1298 Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1298 Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint.

Friday, December 23, 2016

Geometry Problem 1297 Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1297 Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector.

Monday, November 30, 2015

Geometry Problem 1168: Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view more details of problem 1168.

Online Math: Geometry Problem 1168: Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent.

Sunday, December 28, 2014

Geometry Problem 1071: Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, Midpoint, 90 Degrees

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1071: Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, Midpoint, 90 Degrees.

Wednesday, March 5, 2014

Geometry Problem 989: Arbelos, Semicircles, Diameter, Perpendicular, 90 Degree, Common External Tangent, Rectangle, Midpoint of Arc

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view the complete problem 989

Online Geometry Problem 989: Arbelos, Semicircles, Diameter, Perpendicular, 90 Degree, Common External Tangent, Rectangle, Midpoint of Arc

Wednesday, October 17, 2012

Problem 815: Triangle, Incircle, Semicircles, Arbelos, Area

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 815.

Online Geometry Problem 815: Triangle, Incircle, Semicircles, Arbelos, Area

Wednesday, August 3, 2011

Geometry Problems 641-650: Circle, Tangent, Semicircle, Perpendicular, Arbelos, Diameter

Ten Geometry Problems
Click the figure below to view the ten problems.

Geometry Problems 641-650: Circle, Tangent, Semicircle, Perpendicular, Arbelos, Diameter


Level: High School, College geometry

Geometry Problems 631-640: Triangle, Collinearity, Incenter, Circle, Arbelos

Ten Geometry Problems
Click the figure below to view the ten problems.

Geometry Problems 631 - 640


Level: High School, College geometry

Wednesday, July 27, 2011

Arbelos Definition by Archimedes

Archimedes' Book of Lemmas
Click the figure below to see the index.

Arbelos Definition by Archimedes.

Saturday, July 23, 2011

Problem 639: Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 639.

Online Geometry Problem 639: Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence.

Wednesday, July 20, 2011

Problem 638: Arbelos and Inscribed Circle, Concyclic Points

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 638.

Geometry Problem 638: Arbelos and Inscribed Circle,  Concyclic Points.

Tuesday, July 19, 2011

Arbelos, Theorems and Problems

Click the figure below to see the Index.

 Arbelos, Theorems and Problems.

Go to the Index

Problem 637: Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 637.

Online Geometry Problem 637: Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos.