Showing posts with label Pythagoras. Show all posts
Showing posts with label Pythagoras. Show all posts

Tuesday, October 7, 2025

Geometry Problem 1607: Circle, Chords, Tangents, 60 Degree Angle

Challenging Geometry Problem 1607. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1607

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Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Friday, April 18, 2025

Geometry Problem 1598: Inradius Ratio with Median BM in a Right-Angled Triangle

Challenging Geometry Puzzle: Problem 1598. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

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Illustration of Geometry Problem 1598

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Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Monday, August 19, 2024

Geometry Problem 1579: Involving perpendicular diameters, tangents, and triangle areas.

Challenging Geometry Puzzle: Problem 1579. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

Gain comprehensive insights! Click below to reveal the complete details.

Illustration of Geometry Problem 1579

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Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Friday, March 31, 2023

Geometry Problem 1531: Discover How to Calculate the Length of a Chord in a Circle with Diameter Intersection and an Angle between the Diameter and Chord

Geometry Problem 1531. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1531: Discover How to Calculate the Length of a Chord in a Circle with Diameter Intersection and an Angle between the Diameter and Chord.

More Details

To post a solution to this problem click Comment underneath the post, or click into the line that says, “Enter Comment.” Type what you want to say and press Publish to post your solution.

Saturday, September 22, 2018

Word Cloud and Geometric Art of the Pythagorean theorem

Word cloud or tag cloud is a graphical representation of word frequency.
Click the figure below to open the word cloud.

Word Cloud and Geometric Art of the Pythagorean theorem

Friday, September 14, 2018

Geometry Problem 1386: Thabit ibn Qurra Theorem, generalized Pythagorean Theorem

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 1386: Thabit ibn Qurra (826 -901) Theorem and more conclusions, generalized Pythagorean Theorem to any triangle.

Friday, December 16, 2016

Typography of Pythagorean Spiral or Square Root Spiral or Theodorus Spiral, iPad Apps

Geometric Art

Details: Click on the figure below.

Typography of Geometry: Pythagorean Spiral or Square Root Spiral or Theodorus Spiral, iPad apps.

Wednesday, March 30, 2016

Pythagorean Spiral

Right Triangle.

Click the figure below to enlarge it.

Pythagorean Spiral

Thursday, January 21, 2016

Stonehenge builders had geometry skills to rival Pythagoras. Golden Rectangle

Golden Rectangles
Click the figure below to see the interactive illustration.

 Stonehenge builders had geometry skills to rival Pythagoras. Golden Rectangle.

Thursday, November 13, 2014

Word Cloud: Pythagoras Quote

Word Cloud
Click the figure below to enlarge it.

 Word Cloud: Pythagoras.

Sunday, December 15, 2013

Geometry Quote Word Cloud: Pythagoras

Click the figure below to enlarge.

Geometry Quote, Word Cloud: Pythagoras.

Saturday, October 20, 2012

Pythagoras Delaunay Triangulation Art, iPad Apps: Poly

Geometric Art
Polygonal geometric array of colours..

Click the figure below to see the illustration.

Pythagoras and Delaunay Triangulation Art, iPad Apps: Poly.

Wednesday, September 12, 2012

iPad Apps: Geoboard, Pythagorean Theorem Proof, Squares, Congruence, Area (Problem 540)

Theorem Proof
This virtual version of Geoboard is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPod Touches, iPhones, or iPads.

Click the figure below to see the illustration.

iPad Apps: Geoboard, by The Math Learning Center: Pythagorean Theorem Proof, Squares, Congruence, Area, (Problem 540).

Sunday, September 9, 2012

iPad Apps: Geoboard, by The Math Learning Center: Pythagorean Theorem, Leonardo da Vinci Proof, Squares, Congruence, Area

Theorem Proof by Leonardo da Vinci
This virtual version of Geoboard is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPod Touches, iPhones, or iPads.

Click the figure below to see the illustration.

iPad Apps: Geoboard, by The Math Learning Center: Pythagorean Theorem, Leonardo da Vinci Proof, Squares, Congruence, Area.

Sunday, August 26, 2012

Problem 800: Gua's Theorem, Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area

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

Click the figure below to see the complete problem 800.

Online Geometry Problem 800: de Gua's Theorem, Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area.

Monday, July 2, 2012

Problem 778: Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square

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

Click the figure below to see the complete problem 778.

Online Geometry Problem 778: Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Sunday, December 18, 2011

Word Cloud: Kepler about Geometry, Theorem of Pythagoras

Click the figure below to view the word cloud.

 Word Cloud: Kepler about Geometry, Theorem of Pythagoras.

Friday, February 4, 2011

Monday, December 6, 2010

Geometry Problems 361 - 370

Ten Geometry Problems
Click the figure below to see problems 361-370 about Right triangle, Incircle, Incenter, Tangency points, Angle, Circle, Chord, Perpendicular, Congruence, Pythagoras, Obtuse, Diameter, Area, Circular sector.

Geometry Problems 361 - 370Read more

Level: High School, SAT Prep, College geometry

Tuesday, November 9, 2010

Problem 540: Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras

Geometry Problem
Click the figure below to see the complete problem 540 about Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Problem 540: Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras
Go to Complete Problem 540