Showing posts with label Archimedes. Show all posts
Showing posts with label Archimedes. 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, June 3, 2018

Wednesday, April 25, 2018

Saturday, May 28, 2016

Adobe Spark Post: Archimedes' Book of Lemmas, Proposition 10

iPad Productivity Apps

Click the picture below to enlarge the illustration.

iPad Productivity Apps; Adobe Spark Post.

Friday, December 20, 2013

Geometry Quote Word Cloud: Archimedes

Click the figure below to enlarge.

Geometry Quote, Word Cloud: Archimedes.

Sunday, November 20, 2011

Geometry Problems 651-660: Archimedes Book of Lemmas, Circle, Triangle, Congruence, Parallelogram, Similarity

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

Geometry Problems 651-660: Archimedes Book of Lemmas, Circle, Triangle, Congruence, Parallelogram, Similarity


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.

Thursday, August 5, 2010

Geometry Problems 91 - 100

Geometry Problem
Click the figure below to see problems 91-100 about Similarity, Triangles, Altitude, Parallel, Circumcircle, Parallelogram, Incenter, Area, Centroid, Quadrilateral, Archimedes, Pythagoras.

Geometry Problems 91 - 100
See also:
Problems 91-100

Level: High School, SAT Prep, College geometry

Monday, December 22, 2008

Archimedes' Arbelos and Square 2

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that KLFM is a square.


Archimedes' Arbelos and Square 2.
Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square_2.htm

Sunday, December 21, 2008

Archimedes' Arbelos and Square

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that ELBK is a square.


Archimedes' Arbelos and Square.
Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square.htm

Tuesday, December 16, 2008

Archimedes' Book of Lemmas, Proposition #15

Problem 655: Inscribed Regular Pentagon, Arc, Midpoint, Perpendicular, Radius
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #15 (high school level) and lift up your geometry skills.

Click the figure below to see the complete problem 655

Archimedes' Book of Lemmas #15.
Continue reading at:
gogeometry.com/ArchBooLem15.htm

Archimedes' Book of Lemmas, Proposition #14

Problem 654: Salinon
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #14 (high school level) and lift up your geometry skills.

Click the figure below to see the complete problem 654

Archimedes' Book of Lemmas #14.
Continue reading at:
gogeometry.com/ArchBooLem14.htm

Archimedes' Book of Lemmas, Proposition #13

Problem 653: Diameter, chord, perpendicular
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #13 (high school level) and lift up your geometry skills.

Click the figure below to see the complete problem 653.

Archimedes' Book of Lemmas #13.
Continue reading at:
gogeometry.com/ArchBooLem13.htm

Archimedes' Book of Lemmas, Proposition #12

Problem 652: Diameter, chords, perpendicular, tangents
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #12 (high school level) and lift up your geometry skills.

Click the figure below to see the complete problem 652

Archimedes' Book of Lemmas #12.
Continue reading at:
gogeometry.com/ArchBooLem12.htm

Archimedes' Book of Lemmas, Proposition #11

Problem 651: Perpendicular chords and radius
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #11 (high school level) and lift up your geometry skills.

Click the figure below to see the complete problem 651.

Archimedes' Book of Lemmas #11.
Continue reading at:
gogeometry.com/ArchBooLem11.htm

Archimedes' Book of Lemmas, Proposition #10

Problem 649: Tangents, secant, chords, parallel, perpendicular
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #10 (high school level) and lift up your geometry skills.


Archimedes' Book of Lemmas #10.
Continue reading at:
gogeometry.com/ArchBooLem10.htm

Archimedes' Book of Lemmas, Proposition #9

Problem 648: Perpendicular chords and arcs
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #9 (high school level) and lift up your geometry skills.


Archimedes' Book of Lemmas #9.
Continue reading at:
gogeometry.com/ArchBooLem09.htm

Archimedes' Book of Lemmas, Proposition #8

Angle Trisection. Neusis Construction
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #8 (high school level) and lift up your geometry skills.


Archimedes' Book of Lemmas #8.
Continue reading at:
gogeometry.com/ArchBooLem08.htm

Archimedes' Book of Lemmas, Proposition #7

Problem 646: Square, inscribed and circumscribed circles
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #7 (high school level) and lift up your geometry skills.


Archimedes' Book of Lemmas #7.
Continue reading at:
gogeometry.com/ArchBooLem07.htm