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Showing posts with label Archimedes. Show all posts
Showing posts with label Archimedes. Show all posts
Wednesday, July 27, 2011
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.
See also:
Problems 91-100
Level: High School, SAT Prep, College geometry
Click the figure below to see problems 91-100 about Similarity, Triangles, Altitude, Parallel, Circumcircle, Parallelogram, Incenter, Area, Centroid, Quadrilateral, Archimedes, Pythagoras.
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.
Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square_2.htm
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that KLFM is a square.
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.
Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square.htm
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that ELBK is a 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
Continue reading at:
gogeometry.com/ArchBooLem15.htm
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
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
Continue reading at:
gogeometry.com/ArchBooLem14.htm
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
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.
Continue reading at:
gogeometry.com/ArchBooLem13.htm
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.
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
Continue reading at:
gogeometry.com/ArchBooLem12.htm
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
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.
Continue reading at:
gogeometry.com/ArchBooLem11.htm
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.
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.
Continue reading at:
gogeometry.com/ArchBooLem10.htm
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.
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.
Continue reading at:
gogeometry.com/ArchBooLem09.htm
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.
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.
Continue reading at:
gogeometry.com/ArchBooLem08.htm
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.
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.
Continue reading at:
gogeometry.com/ArchBooLem07.htm
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.
Continue reading at:
gogeometry.com/ArchBooLem07.htm
Archimedes' Book of Lemmas, Proposition #6
Arbelos
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #6 (high school level) and lift up your geometry skills.
Continue reading at:
gogeometry.com/ArchBooLem06.htm
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #6 (high school level) and lift up your geometry skills.
Continue reading at:
gogeometry.com/ArchBooLem06.htm
Archimedes' Book of Lemmas, Proposition #5
Problem 644: Arbelos, Archimedean Twins
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #5 (high school level) and lift up your geometry skills.
Continue reading at:
gogeometry.com/ArchBooLem05.htm
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #5 (high school level) and lift up your geometry skills.
Continue reading at:
gogeometry.com/ArchBooLem05.htm
Archimedes' Book of Lemmas, Proposition #4, Arbelos
Problem 643
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #4 (high school level) and lift up your geometry skills.
Continue reading at:
gogeometry.com/ArchBooLem04.htm
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #4 (high school level) and lift up your geometry skills.
Continue reading at:
gogeometry.com/ArchBooLem04.htm
Archimedes' Book of Lemmas, Proposition #3
Problem 642: Semicircle, Diameter, Perpendicular
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #3 (high school level) and lift up your geometry skills.
Click the figure to view details.
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #3 (high school level) and lift up your geometry skills.
Click the figure to view details.
Archimedes' Book of Lemmas, Proposition #2
Problem 641: Diameter, tangents, perpendicular
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #2 (high school level) and lift up your geometry skills.
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #2 (high school level) and lift up your geometry skills.
Archimedes' Book of Lemmas, Proposition #1
Tangent circles and parallel diameters (Problem 640)
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #1 (high school level) and lift up your geometry skills.
Click the figure below to see the complete proposition.
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #1 (high school level) and lift up your geometry skills.
Click the figure below to see the complete proposition.
Archimedes' Book of Lemmas
Index.
According to "The Works of Archimedes" by T. L. Heath, Cambridge 1897, Archimedes' works included "On the Sphere and Cylinder", "On the Measurement of a Circle", "On Conoids and Spheroids", "On Spirals", "On the Equilibriums of Planes", "The Sand-reckoner", "Quadrature of the parabola", "On Floating Bodies", "Book of Lemmas" and "The Method".
In the book "Book of Lemmas", attributed by Thabit ibn-Qurra to Archimedes, there were 15 propositions on circles, with the first proposition referred in the subsequent fifth and sixth propositions. The statements in "Book of Lemmas" do not seem to concur to a central theme.
Continue reading at:
gogeometry.com/ArchBooLem00.htm
According to "The Works of Archimedes" by T. L. Heath, Cambridge 1897, Archimedes' works included "On the Sphere and Cylinder", "On the Measurement of a Circle", "On Conoids and Spheroids", "On Spirals", "On the Equilibriums of Planes", "The Sand-reckoner", "Quadrature of the parabola", "On Floating Bodies", "Book of Lemmas" and "The Method".
In the book "Book of Lemmas", attributed by Thabit ibn-Qurra to Archimedes, there were 15 propositions on circles, with the first proposition referred in the subsequent fifth and sixth propositions. The statements in "Book of Lemmas" do not seem to concur to a central theme.
Continue reading at:
gogeometry.com/ArchBooLem00.htm
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