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Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show how these propositions could fit into a comprehensive deductive and logical system. The Elements begins with plane geometry, still taught in secondary school as the first axiomatic system and the first examples of formal proof. It goes on to the solid geometry of three dimensions. Much of the Elements states results of what are now called algebra and number theory, couched in geometrical language.
For over two thousand years, the adjective "Euclidean" was unnecessary because no other sort of geometry had been conceived. Euclid's axioms seemed so intuitively obvious that any theorem proved from them was deemed true in an absolute, often metaphysical, sense. Today, however, many other self-consistent non-Euclidean geometries are known, the first ones having been discovered in the early 19th century. An implication of Einstein's theory of general relativity is that Euclidean space is a good approximation to the properties of physical space only where the gravitational field is weak.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Euclidean_geometry
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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Euclidean Geometry I
Euclidean Geometry I -
Euclid as the Father of Geometry
Euclid as the Father of GeometryEuclid as the Father of Geometry
Euclid and his Elements (and how much Abraham Lincoln liked them) More free lessons at: http://www.khanacademy.org/video?v=WqzK3UAXaHs. -
The five postulates of Euclidean Geometry
The five postulates of Euclidean GeometryThe five postulates of Euclidean Geometry
A description of the five postulates and some follow up questions. -
What is Euclidean Geometry?
What is Euclidean Geometry?What is Euclidean Geometry?
This lesson introduces the concept of Euclidean geometry and how it is used in the real world today. This lesson also traces the history of geometry. -
What's the point of Geometry? - Euclid
What's the point of Geometry? - EuclidWhat's the point of Geometry? - Euclid
Buy the ipad edition of Euclid, the Man who invented Geometry - http://bit.ly/euclid_geometry_ibook Buy the book! - http://bit.ly/EuclidBook Geometry lies at... -
Non Euclidean Geometry
Non Euclidean GeometryNon Euclidean Geometry
Yosi Studios leaves the realm of Euclidean Geometry and ventures into the mysterious geometries where lines are curved and parallel lines intersect... -
Non-Euclidean Geometry
Non-Euclidean GeometryNon-Euclidean Geometry
Here's how to do basic non-euclidean geometry in Minecraft. Inspired by the adventure map The Code III: End by jespertheend. Download the world saves if you want to do your own tests! World Saves: https://app.box.com/s/x34eo7pllzh377p3m3yu https://app.box.com/s/wgjrazffootbk4nb94ul The Code III: End: http://www.minecraftforum.net/topic/2196598-the-code-iii-end/ jespertheend: http://www.youtube.com/user/jespertheend2 -
MathHistory12: Non-Euclidean geometry
MathHistory12: Non-Euclidean geometryMathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad... -
Euclidean Geometry 1/4: Introduction, adjacent angles
Euclidean Geometry 1/4: Introduction, adjacent anglesEuclidean Geometry 1/4: Introduction, adjacent angles
Introduction to Euclidean Geometry Basic rules about adjacent angles. -
Euclidean Geometry II
Euclidean Geometry IIEuclidean Geometry II
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_22_Euclidean%20Geometry%20II_29July.pdf In this live Grade 11... -
Euclidean Geometry
Euclidean GeometryEuclidean Geometry
Xtra Gr 11 Maths: In this lesson on Euclidean Geometry we revise key concepts from grade 9 and 10 Euclidean Geometry. We focus on understanding the circle geometry theorems and their converses. Finally, we apply the circle theorems in geometry ryders. Visit the Learn Xtra Website: http://www.learnxtra.co.za View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live Join us on Facebook: http://www.facebook.com/learnxtra Follow us on Twitter: http://twitter.com/learnxtra ( E00200768 ) -
Euclidean Geometry
Euclidean GeometryEuclidean Geometry
Xtra Maths: In this lesson on Euclidean Geometry we focus on: Classifying angles, parallel and transversal lines, classifying triangles, properties of triang... -
Euclidean Geometry
Euclidean GeometryEuclidean Geometry
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr10Mathematics_26_Euclidean%20Geometry_26Aug.pdf In this live Grade 10 Maths... -
Euclidean Geometry (Paper 3)
Euclidean Geometry (Paper 3)Euclidean Geometry (Paper 3)
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr12Mathematics_26_Euclidean%20Geometry_26Aug.pdf In this live Grade 12 Maths show we take a look at Eucliden Geometry. In this lesson we look at typical exam questions relating to Euclidean Geometry. Visit the Learn Xtra Website: http://www.learnxtra.co.za View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live Join us on Facebook: http://www.facebook.com/learnxtra Follow us on Twitter: http://twitter.com/learnxtra ( E00199538 )
- Affine geometry
- Albert Einstein
- Alessandro Padoa
- Alexandria
- Alfred Tarski
- Algebra
- Analytic geometry
- Angle
- Apollonius of Perga
- Archimedean property
- Archimedes
- Architecture
- Axiom
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- Butterfly theorem
- Ceva's theorem
- Circle
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- Constructive proof
- Decidability (logic)
- Degree (angle)
- Distance
- Doubling the cube
- Dumpy level
- Eclipse
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- Elliptic geometry
- Euclid
- Euclid's Elements
- Euclidean geometry
- Euclidean space
- Existence theorem
- First-order logic
- Foundationalism
- Frans Hals
- General relativity
- Geometric optics
- Geometric series
- Geometry
- Girard Desargues
- Giuseppe Peano
- Giuseppe Veronese
- Gottfried Leibniz
- Gravity
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- János Bolyai
- Kolmogorov
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- Lebesgue measure
- Leonhard Euler
- Line (geometry)
- Line (mathematics)
- Line segment
- Logical consequence
- Logical system
- Mathematical proof
- Menelaus' theorem
- Method of exhaustion
- Metric geometry
- Metric space
- Moritz Pasch
- Nine-point circle
- Number theory
- Obtuse
- Orange (fruit)
- Ordered geometry
- Origami
- Otto Stolz
- Packing problem
- Parallel postulate
- Paul du Bois-Reymond
- Peano arithmetic
- Philip Ehrlich
- Pierre Wantzel
- Plane (geometry)
- Playfair's axiom
- Point (geometry)
- Pons Asinorum
- Postulate
- Predicate logic
- Prime numbers
- Primitive notion
- Proclus
- Projective geometry
- Proof by induction
- Proposition
- Pythagoras' theorem
- Pythagorean theorem
- Radians
- Raphael
- Rational number
- Real closed field
- Real closed fields
- Real number
- Real number line
- René Descartes
- Right angle
- Scientific modelling
- Secondary school
- Self-consistent
- Set theory
- Solid geometry
- Sphere packing
- Squaring the circle
- Straight line
- Supplementary angles
- Surveying
- T. L. Heath
- Tarski
- Tarski's axioms
- Thales of Miletus
- Thales' theorem
- The School of Athens
- Theodolite
- Theorem
- Theorems
- Three dimensions
- Topology
- Torus
- Trisecting an angle
- Type theory
- W. W. Rouse Ball
- Zeno's paradox
-
Euclidean Geometry I
Euclidean Geometry IEuclidean Geometry I
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_21_Euclidean%20Geometry_22July.pdf In this live Grade 11 Math... -
Euclid as the Father of Geometry
Euclid as the Father of GeometryEuclid as the Father of Geometry
Euclid and his Elements (and how much Abraham Lincoln liked them) More free lessons at: http://www.khanacademy.org/video?v=WqzK3UAXaHs. -
The five postulates of Euclidean Geometry
The five postulates of Euclidean GeometryThe five postulates of Euclidean Geometry
A description of the five postulates and some follow up questions. -
What is Euclidean Geometry?
What is Euclidean Geometry?What is Euclidean Geometry?
This lesson introduces the concept of Euclidean geometry and how it is used in the real world today. This lesson also traces the history of geometry. -
What's the point of Geometry? - Euclid
What's the point of Geometry? - EuclidWhat's the point of Geometry? - Euclid
Buy the ipad edition of Euclid, the Man who invented Geometry - http://bit.ly/euclid_geometry_ibook Buy the book! - http://bit.ly/EuclidBook Geometry lies at... -
Non Euclidean Geometry
Non Euclidean GeometryNon Euclidean Geometry
Yosi Studios leaves the realm of Euclidean Geometry and ventures into the mysterious geometries where lines are curved and parallel lines intersect... -
Non-Euclidean Geometry
Non-Euclidean GeometryNon-Euclidean Geometry
Here's how to do basic non-euclidean geometry in Minecraft. Inspired by the adventure map The Code III: End by jespertheend. Download the world saves if you want to do your own tests! World Saves: https://app.box.com/s/x34eo7pllzh377p3m3yu https://app.box.com/s/wgjrazffootbk4nb94ul The Code III: End: http://www.minecraftforum.net/topic/2196598-the-code-iii-end/ jespertheend: http://www.youtube.com/user/jespertheend2 -
MathHistory12: Non-Euclidean geometry
MathHistory12: Non-Euclidean geometryMathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad... -
Euclidean Geometry 1/4: Introduction, adjacent angles
Euclidean Geometry 1/4: Introduction, adjacent anglesEuclidean Geometry 1/4: Introduction, adjacent angles
Introduction to Euclidean Geometry Basic rules about adjacent angles. -
Euclidean Geometry II
Euclidean Geometry IIEuclidean Geometry II
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_22_Euclidean%20Geometry%20II_29July.pdf In this live Grade 11... -
Euclidean Geometry
Euclidean GeometryEuclidean Geometry
Xtra Gr 11 Maths: In this lesson on Euclidean Geometry we revise key concepts from grade 9 and 10 Euclidean Geometry. We focus on understanding the circle geometry theorems and their converses. Finally, we apply the circle theorems in geometry ryders. Visit the Learn Xtra Website: http://www.learnxtra.co.za View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live Join us on Facebook: http://www.facebook.com/learnxtra Follow us on Twitter: http://twitter.com/learnxtra ( E00200768 ) -
Euclidean Geometry
Euclidean GeometryEuclidean Geometry
Xtra Maths: In this lesson on Euclidean Geometry we focus on: Classifying angles, parallel and transversal lines, classifying triangles, properties of triang... -
Euclidean Geometry
Euclidean GeometryEuclidean Geometry
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr10Mathematics_26_Euclidean%20Geometry_26Aug.pdf In this live Grade 10 Maths... -
Euclidean Geometry (Paper 3)
Euclidean Geometry (Paper 3)Euclidean Geometry (Paper 3)
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr12Mathematics_26_Euclidean%20Geometry_26Aug.pdf In this live Grade 12 Maths show we take a look at Eucliden Geometry. In this lesson we look at typical exam questions relating to Euclidean Geometry. Visit the Learn Xtra Website: http://www.learnxtra.co.za View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live Join us on Facebook: http://www.facebook.com/learnxtra Follow us on Twitter: http://twitter.com/learnxtra ( E00199538 ) -
Drawing line segments example | Introduction to Euclidean geometry | Geometry | Khan Academy
Drawing line segments example | Introduction to Euclidean geometry | Geometry | Khan AcademyDrawing line segments example | Introduction to Euclidean geometry | Geometry | Khan Academy
Let's put our new knowledge of line segments to use in this example problem. We'll help you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/drawing-lines?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Geometry on Khan Academy: We are -
Language and Notation of Basic Geometry
Language and Notation of Basic GeometryLanguage and Notation of Basic Geometry
Understanding basic ideas in geometry and how we represent them with symbols More free lessons at: http://www.khanacademy.org/video?v=il0EJrY64qE. -
Minecraft: The TARDIS and Non-Euclidean Geometry in 1.8
Minecraft: The TARDIS and Non-Euclidean Geometry in 1.8Minecraft: The TARDIS and Non-Euclidean Geometry in 1.8
Fantastic! Allons-y! Geronimo! This is a working TARDIS that's "bigger on the inside" (or smaller on the outside) and hallways that exist where they shouldn't. Don't Forget to like, subscribe, and share! World Download: COMING SOON! Music: I am the Doctor Restructure ~ Reconaddict Check me out on Reddit: http://www.reddit.com/user/Uber_Ender Here's my website while you're at it: http://www.uberender.weebly.com -
Non-Euclidean Geometry?! [Minecraft 1.5.2 / 13w21a]
Non-Euclidean Geometry?! [Minecraft 1.5.2 / 13w21a]Non-Euclidean Geometry?! [Minecraft 1.5.2 / 13w21a]
Not shown: How this was a bitch to get working ──────── Links Ahoy! ──────── 🐤 Twitter: http://twitter.com/HiFolksImAdam 🎮 Download: http://www.planetminecra... -
Euclidean Geometry: Similarity
Euclidean Geometry: SimilarityEuclidean Geometry: Similarity
In this Exam Revision lesson we take a close look at Gr 12 Mathematics questions and answers relating to Euclidean Geometry (Similarity). -
Non-Euclidean Geometry [Topics in the History of Mathematics]
Non-Euclidean Geometry [Topics in the History of Mathematics]Non-Euclidean Geometry [Topics in the History of Mathematics]
Another Open University oldie. This one's a bit more hxc (and considerably older - the 1970s public were apparently considered far smarter than we are today!... -
Revision: Euclidean Geometry
Revision: Euclidean GeometryRevision: Euclidean Geometry
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_28_Euclidean%20Geometry_9Sept.pdf In this Grade 11 Maths show we revise Euclidean Geometry. In this lesson we revise how to show Circle Geometry riders. Visit the Learn Xtra Website: http://www.learnxtra.co.za View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live Join us on Facebook: http://www.facebook.com/learnxtra Follow us on Twitter: http://twitter.com/learnxtra ( E00199691 ) -
Minecraft - Non Euclidean Geometry
Minecraft - Non Euclidean GeometryMinecraft - Non Euclidean Geometry
I know this has been done many times, but I thought I would try my hand at some. I am TheLegoImage, Let's Player of many games (some include Portal 1 and 2, Mainly Minecraft, Cube World, Starmade and more), and I also make just random gameplay or mechanics videos with my friends! If you enjoyed this video or any others of mine, a like would help, and maybe subscribe! Channel: http://tinyurl.com/tlichannel Google+: http://tinyurl.com/tligoogle #Jerememe -
WildTrig2: Quadrance via Pythagoras and Archimedes
WildTrig2: Quadrance via Pythagoras and ArchimedesWildTrig2: Quadrance via Pythagoras and Archimedes
We show how the basic notion of rational trigonometry---quadrance---arises from the geometry of the ancient Greeks. The little-known sister theorem to Pythag...
Euclidean Geometry I
- Order: Reorder
- Duration: 50:38
- Updated: 02 Sep 2014
- author: MindsetLearn
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_21_Euclidean%20Geometry_22July.pdf In this live Grade 11 Math...
http://wn.com/Euclidean_Geometry_I
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_21_Euclidean%20Geometry_22July.pdf In this live Grade 11 Math...
- published: 29 Jul 2013
- views: 9355
- author: MindsetLearn
Euclid as the Father of Geometry
- Order: Reorder
- Duration: 8:23
- Updated: 05 Sep 2014
- author: Khan Academy
Euclid and his Elements (and how much Abraham Lincoln liked them) More free lessons at: http://www.khanacademy.org/video?v=WqzK3UAXaHs.
http://wn.com/Euclid_as_the_Father_of_Geometry
Euclid and his Elements (and how much Abraham Lincoln liked them) More free lessons at: http://www.khanacademy.org/video?v=WqzK3UAXaHs.
- published: 28 Feb 2012
- views: 365538
- author: Khan Academy
The five postulates of Euclidean Geometry
- Order: Reorder
- Duration: 9:28
- Updated: 24 Jul 2013
- author: Luke Simon
A description of the five postulates and some follow up questions.
http://wn.com/The_five_postulates_of_Euclidean_Geometry
A description of the five postulates and some follow up questions.
- published: 20 Jul 2012
- views: 2238
- author: Luke Simon
What is Euclidean Geometry?
- Order: Reorder
- Duration: 12:19
- Updated: 04 Jun 2014
This lesson introduces the concept of Euclidean geometry and how it is used in the real world today. This lesson also traces the history of geometry.
http://wn.com/What_is_Euclidean_Geometry?
This lesson introduces the concept of Euclidean geometry and how it is used in the real world today. This lesson also traces the history of geometry.
- published: 04 Jun 2014
- views: 32
What's the point of Geometry? - Euclid
- Order: Reorder
- Duration: 3:19
- Updated: 04 Sep 2014
- author: drawstuffrealeasy
Buy the ipad edition of Euclid, the Man who invented Geometry - http://bit.ly/euclid_geometry_ibook Buy the book! - http://bit.ly/EuclidBook Geometry lies at...
http://wn.com/What's_the_point_of_Geometry?_-_Euclid
Buy the ipad edition of Euclid, the Man who invented Geometry - http://bit.ly/euclid_geometry_ibook Buy the book! - http://bit.ly/EuclidBook Geometry lies at...
- published: 15 Jun 2012
- views: 42764
- author: drawstuffrealeasy
Non Euclidean Geometry
- Order: Reorder
- Duration: 6:06
- Updated: 27 Aug 2014
- author: YosiStudios
Yosi Studios leaves the realm of Euclidean Geometry and ventures into the mysterious geometries where lines are curved and parallel lines intersect...
http://wn.com/Non_Euclidean_Geometry
Yosi Studios leaves the realm of Euclidean Geometry and ventures into the mysterious geometries where lines are curved and parallel lines intersect...
- published: 01 Jun 2013
- views: 10734
- author: YosiStudios
Non-Euclidean Geometry
- Order: Reorder
- Duration: 10:42
- Updated: 05 Feb 2014
Here's how to do basic non-euclidean geometry in Minecraft. Inspired by the adventure map The Code III: End by jespertheend. Download the world saves if you want to do your own tests!
World Saves:
https://app.box.com/s/x34eo7pllzh377p3m3yu
https://app.box.com/s/wgjrazffootbk4nb94ul
The Code III: End: http://www.minecraftforum.net/topic/2196598-the-code-iii-end/
jespertheend: http://www.youtube.com/user/jespertheend2
http://wn.com/Non-Euclidean_Geometry
Here's how to do basic non-euclidean geometry in Minecraft. Inspired by the adventure map The Code III: End by jespertheend. Download the world saves if you want to do your own tests!
World Saves:
https://app.box.com/s/x34eo7pllzh377p3m3yu
https://app.box.com/s/wgjrazffootbk4nb94ul
The Code III: End: http://www.minecraftforum.net/topic/2196598-the-code-iii-end/
jespertheend: http://www.youtube.com/user/jespertheend2
- published: 05 Feb 2014
- views: 10
MathHistory12: Non-Euclidean geometry
- Order: Reorder
- Duration: 50:52
- Updated: 05 Sep 2014
- author: njwildberger
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad...
http://wn.com/MathHistory12_Non-Euclidean_geometry
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sad...
- published: 06 Jun 2011
- views: 29719
- author: njwildberger
Euclidean Geometry 1/4: Introduction, adjacent angles
- Order: Reorder
- Duration: 6:50
- Updated: 12 Jun 2014
- author: Ian Bailey-Mortimer
Introduction to Euclidean Geometry Basic rules about adjacent angles.
http://wn.com/Euclidean_Geometry_1_4_Introduction,_adjacent_angles
Introduction to Euclidean Geometry Basic rules about adjacent angles.
- published: 06 Apr 2013
- views: 319
- author: Ian Bailey-Mortimer
Euclidean Geometry II
- Order: Reorder
- Duration: 46:58
- Updated: 04 Aug 2014
- author: MindsetLearn
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_22_Euclidean%20Geometry%20II_29July.pdf In this live Grade 11...
http://wn.com/Euclidean_Geometry_II
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_22_Euclidean%20Geometry%20II_29July.pdf In this live Grade 11...
- published: 01 Aug 2013
- views: 2179
- author: MindsetLearn
Euclidean Geometry
- Order: Reorder
- Duration: 76:31
- Updated: 31 Mar 2014
Xtra Gr 11 Maths: In this lesson on Euclidean Geometry we revise key concepts from grade 9 and 10 Euclidean Geometry. We focus on understanding the circle geometry theorems and their converses. Finally, we apply the circle theorems in geometry ryders.
Visit the Learn Xtra Website: http://www.learnxtra.co.za
View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live
Join us on Facebook: http://www.facebook.com/learnxtra
Follow us on Twitter: http://twitter.com/learnxtra
( E00200768 )
http://wn.com/Euclidean_Geometry
Xtra Gr 11 Maths: In this lesson on Euclidean Geometry we revise key concepts from grade 9 and 10 Euclidean Geometry. We focus on understanding the circle geometry theorems and their converses. Finally, we apply the circle theorems in geometry ryders.
Visit the Learn Xtra Website: http://www.learnxtra.co.za
View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live
Join us on Facebook: http://www.facebook.com/learnxtra
Follow us on Twitter: http://twitter.com/learnxtra
( E00200768 )
- published: 31 Mar 2014
- views: 35
Euclidean Geometry
- Order: Reorder
- Duration: 85:15
- Updated: 16 Jun 2014
- author: MindsetLearn
Xtra Maths: In this lesson on Euclidean Geometry we focus on: Classifying angles, parallel and transversal lines, classifying triangles, properties of triang...
http://wn.com/Euclidean_Geometry
Xtra Maths: In this lesson on Euclidean Geometry we focus on: Classifying angles, parallel and transversal lines, classifying triangles, properties of triang...
- published: 07 Oct 2012
- views: 2568
- author: MindsetLearn
Euclidean Geometry
- Order: Reorder
- Duration: 50:45
- Updated: 20 Aug 2014
- author: MindsetLearn
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr10Mathematics_26_Euclidean%20Geometry_26Aug.pdf In this live Grade 10 Maths...
http://wn.com/Euclidean_Geometry
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr10Mathematics_26_Euclidean%20Geometry_26Aug.pdf In this live Grade 10 Maths...
- published: 29 Aug 2013
- views: 810
- author: MindsetLearn
Euclidean Geometry (Paper 3)
- Order: Reorder
- Duration: 49:43
- Updated: 29 Aug 2013
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr12Mathematics_26_Euclidean%20Geometry_26Aug.pdf
In this live Grade 12 Maths show we take a look at Eucliden Geometry. In this lesson we look at typical exam questions relating to Euclidean Geometry.
Visit the Learn Xtra Website: http://www.learnxtra.co.za
View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live
Join us on Facebook: http://www.facebook.com/learnxtra
Follow us on Twitter: http://twitter.com/learnxtra
( E00199538 )
http://wn.com/Euclidean_Geometry_(Paper_3)
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr12Mathematics_26_Euclidean%20Geometry_26Aug.pdf
In this live Grade 12 Maths show we take a look at Eucliden Geometry. In this lesson we look at typical exam questions relating to Euclidean Geometry.
Visit the Learn Xtra Website: http://www.learnxtra.co.za
View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live
Join us on Facebook: http://www.facebook.com/learnxtra
Follow us on Twitter: http://twitter.com/learnxtra
( E00199538 )
- published: 29 Aug 2013
- views: 77
Drawing line segments example | Introduction to Euclidean geometry | Geometry | Khan Academy
- Order: Reorder
- Duration: 1:55
- Updated: 16 Jul 2015
Let's put our new knowledge of line segments to use in this example problem. We'll help you!
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/geometry/intro_euclid/e/drawing-lines?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry
Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
http://wn.com/Drawing_line_segments_example_|_Introduction_to_Euclidean_geometry_|_Geometry_|_Khan_Academy
Let's put our new knowledge of line segments to use in this example problem. We'll help you!
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/geometry/intro_euclid/e/drawing-lines?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry
Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 16 Jul 2015
- views: 215529
Language and Notation of Basic Geometry
- Order: Reorder
- Duration: 12:58
- Updated: 03 Sep 2014
- author: Khan Academy
Understanding basic ideas in geometry and how we represent them with symbols More free lessons at: http://www.khanacademy.org/video?v=il0EJrY64qE.
http://wn.com/Language_and_Notation_of_Basic_Geometry
Understanding basic ideas in geometry and how we represent them with symbols More free lessons at: http://www.khanacademy.org/video?v=il0EJrY64qE.
- published: 28 Feb 2012
- views: 277940
- author: Khan Academy
Minecraft: The TARDIS and Non-Euclidean Geometry in 1.8
- Order: Reorder
- Duration: 2:55
- Updated: 14 Feb 2014
Fantastic! Allons-y! Geronimo! This is a working TARDIS that's "bigger on the inside" (or smaller on the outside) and hallways that exist where they shouldn't. Don't Forget to like, subscribe, and share!
World Download:
COMING SOON!
Music:
I am the Doctor Restructure ~ Reconaddict
Check me out on Reddit:
http://www.reddit.com/user/Uber_Ender
Here's my website while you're at it:
http://www.uberender.weebly.com
http://wn.com/Minecraft_The_TARDIS_and_Non-Euclidean_Geometry_in_1.8
Fantastic! Allons-y! Geronimo! This is a working TARDIS that's "bigger on the inside" (or smaller on the outside) and hallways that exist where they shouldn't. Don't Forget to like, subscribe, and share!
World Download:
COMING SOON!
Music:
I am the Doctor Restructure ~ Reconaddict
Check me out on Reddit:
http://www.reddit.com/user/Uber_Ender
Here's my website while you're at it:
http://www.uberender.weebly.com
- published: 14 Feb 2014
- views: 338
![Non-Euclidean Geometry?! [Minecraft 1.5.2 / 13w21a]](http://web.archive.org./web/20150909100817im_/http://i.ytimg.com/vi/K7dKLUIHcrU/0.jpg "Non-Euclidean Geometry?! [Minecraft 1.5.2 / 13w21a]")
Non-Euclidean Geometry?! [Minecraft 1.5.2 / 13w21a]
- Order: Reorder
- Duration: 3:24
- Updated: 18 Aug 2013
- author: HiFolksImAdam
Not shown: How this was a bitch to get working ──────── Links Ahoy! ──────── 🐤 Twitter: http://twitter.com/HiFolksImAdam 🎮 Download: http://www.planetminecra...
http://wn.com/Non-Euclidean_Geometry?!_Minecraft_1.5.2_13w21a_
Not shown: How this was a bitch to get working ──────── Links Ahoy! ──────── 🐤 Twitter: http://twitter.com/HiFolksImAdam 🎮 Download: http://www.planetminecra...
- published: 26 May 2013
- views: 42233
- author: HiFolksImAdam
Euclidean Geometry: Similarity
- Order: Reorder
- Duration: 53:56
- Updated: 10 Oct 2014
In this Exam Revision lesson we take a close look at Gr 12 Mathematics questions and answers relating to Euclidean Geometry (Similarity).
http://wn.com/Euclidean_Geometry_Similarity
In this Exam Revision lesson we take a close look at Gr 12 Mathematics questions and answers relating to Euclidean Geometry (Similarity).
- published: 10 Oct 2014
- views: 21
![Non-Euclidean Geometry [Topics in the History of Mathematics]](http://web.archive.org./web/20150909100817im_/http://i.ytimg.com/vi/an0dXEImGHM/0.jpg "Non-Euclidean Geometry [Topics in the History of Mathematics]")
Non-Euclidean Geometry [Topics in the History of Mathematics]
- Order: Reorder
- Duration: 24:26
- Updated: 26 Aug 2014
- author: marsharent
Another Open University oldie. This one's a bit more hxc (and considerably older - the 1970s public were apparently considered far smarter than we are today!...
http://wn.com/Non-Euclidean_Geometry_Topics_in_the_History_of_Mathematics_
Another Open University oldie. This one's a bit more hxc (and considerably older - the 1970s public were apparently considered far smarter than we are today!...
- published: 21 Aug 2013
- views: 5321
- author: marsharent
Revision: Euclidean Geometry
- Order: Reorder
- Duration: 51:24
- Updated: 17 Sep 2013
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_28_Euclidean%20Geometry_9Sept.pdf
In this Grade 11 Maths show we revise Euclidean Geometry. In this lesson we revise how to show Circle Geometry riders.
Visit the Learn Xtra Website: http://www.learnxtra.co.za
View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live
Join us on Facebook: http://www.facebook.com/learnxtra
Follow us on Twitter: http://twitter.com/learnxtra
( E00199691 )
http://wn.com/Revision_Euclidean_Geometry
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathematics_28_Euclidean%20Geometry_9Sept.pdf
In this Grade 11 Maths show we revise Euclidean Geometry. In this lesson we revise how to show Circle Geometry riders.
Visit the Learn Xtra Website: http://www.learnxtra.co.za
View the Learn Xtra Live Schedule: http://www.learnxtra.co.za/live
Join us on Facebook: http://www.facebook.com/learnxtra
Follow us on Twitter: http://twitter.com/learnxtra
( E00199691 )
- published: 17 Sep 2013
- views: 13
Minecraft - Non Euclidean Geometry
- Order: Reorder
- Duration: 2:24
- Updated: 02 Feb 2014
I know this has been done many times, but I thought I would try my hand at some.
I am TheLegoImage, Let's Player of many games (some include Portal 1 and 2, Mainly Minecraft, Cube World, Starmade and more), and I also make just random gameplay or mechanics videos with my friends! If you enjoyed this video or any others of mine, a like would help, and maybe subscribe!
Channel: http://tinyurl.com/tlichannel
Google+: http://tinyurl.com/tligoogle
#Jerememe
http://wn.com/Minecraft_-_Non_Euclidean_Geometry
I know this has been done many times, but I thought I would try my hand at some.
I am TheLegoImage, Let's Player of many games (some include Portal 1 and 2, Mainly Minecraft, Cube World, Starmade and more), and I also make just random gameplay or mechanics videos with my friends! If you enjoyed this video or any others of mine, a like would help, and maybe subscribe!
Channel: http://tinyurl.com/tlichannel
Google+: http://tinyurl.com/tligoogle
#Jerememe
- published: 02 Feb 2014
- views: 60
WildTrig2: Quadrance via Pythagoras and Archimedes
- Order: Reorder
- Duration: 9:59
- Updated: 30 Aug 2014
- author: njwildberger
We show how the basic notion of rational trigonometry---quadrance---arises from the geometry of the ancient Greeks. The little-known sister theorem to Pythag...
http://wn.com/WildTrig2_Quadrance_via_Pythagoras_and_Archimedes
We show how the basic notion of rational trigonometry---quadrance---arises from the geometry of the ancient Greeks. The little-known sister theorem to Pythag...
- published: 08 Nov 2007
- views: 22726
- author: njwildberger
- Playlist
- Chat
50:38
Euclidean Geometry I
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathem...
published: 29 Jul 2013
author: MindsetLearn
Euclidean Geometry I
Euclidean Geometry I
- published: 29 Jul 2013
- views: 9355
- author: MindsetLearn
8:23
Euclid as the Father of Geometry
Euclid and his Elements (and how much Abraham Lincoln liked them) More free lessons at: ht...
published: 28 Feb 2012
author: Khan Academy
Euclid as the Father of Geometry
Euclid as the Father of Geometry
- published: 28 Feb 2012
- views: 365538
- author: Khan Academy
9:28
The five postulates of Euclidean Geometry
A description of the five postulates and some follow up questions....
published: 20 Jul 2012
author: Luke Simon
The five postulates of Euclidean Geometry
The five postulates of Euclidean Geometry
- published: 20 Jul 2012
- views: 2238
- author: Luke Simon
12:19
What is Euclidean Geometry?
This lesson introduces the concept of Euclidean geometry and how it is used in the real wo...
published: 04 Jun 2014
What is Euclidean Geometry?
What is Euclidean Geometry?
- published: 04 Jun 2014
- views: 32
3:19
What's the point of Geometry? - Euclid
Buy the ipad edition of Euclid, the Man who invented Geometry - http://bit.ly/euclid_geome...
published: 15 Jun 2012
author: drawstuffrealeasy
What's the point of Geometry? - Euclid
What's the point of Geometry? - Euclid
- published: 15 Jun 2012
- views: 42764
- author: drawstuffrealeasy
6:06
Non Euclidean Geometry
Yosi Studios leaves the realm of Euclidean Geometry and ventures into the mysterious geome...
published: 01 Jun 2013
author: YosiStudios
Non Euclidean Geometry
Non Euclidean Geometry
- published: 01 Jun 2013
- views: 10734
- author: YosiStudios
10:42
Non-Euclidean Geometry
Here's how to do basic non-euclidean geometry in Minecraft. Inspired by the adventure map...
published: 05 Feb 2014
Non-Euclidean Geometry
Non-Euclidean Geometry
- published: 05 Feb 2014
- views: 10
50:52
MathHistory12: Non-Euclidean geometry
The development of non-Euclidean geometry is often presented as a high point of 19th centu...
published: 06 Jun 2011
author: njwildberger
MathHistory12: Non-Euclidean geometry
MathHistory12: Non-Euclidean geometry
- published: 06 Jun 2011
- views: 29719
- author: njwildberger
6:50
Euclidean Geometry 1/4: Introduction, adjacent angles
Introduction to Euclidean Geometry Basic rules about adjacent angles....
published: 06 Apr 2013
author: Ian Bailey-Mortimer
Euclidean Geometry 1/4: Introduction, adjacent angles
Euclidean Geometry 1/4: Introduction, adjacent angles
- published: 06 Apr 2013
- views: 319
- author: Ian Bailey-Mortimer
46:58
Euclidean Geometry II
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr11Mathem...
published: 01 Aug 2013
author: MindsetLearn
Euclidean Geometry II
Euclidean Geometry II
- published: 01 Aug 2013
- views: 2179
- author: MindsetLearn
76:31
Euclidean Geometry
Xtra Gr 11 Maths: In this lesson on Euclidean Geometry we revise key concepts from grade 9...
published: 31 Mar 2014
Euclidean Geometry
Euclidean Geometry
- published: 31 Mar 2014
- views: 35
85:15
Euclidean Geometry
Xtra Maths: In this lesson on Euclidean Geometry we focus on: Classifying angles, parallel...
published: 07 Oct 2012
author: MindsetLearn
Euclidean Geometry
Euclidean Geometry
- published: 07 Oct 2012
- views: 2568
- author: MindsetLearn
50:45
Euclidean Geometry
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr10Mathem...
published: 29 Aug 2013
author: MindsetLearn
Euclidean Geometry
Euclidean Geometry
- published: 29 Aug 2013
- views: 810
- author: MindsetLearn
49:43
Euclidean Geometry (Paper 3)
Download the Show Notes: http://www.mindset.co.za/learn/sites/files/LXL2013/LXL_Gr12Mathem...
published: 29 Aug 2013
Euclidean Geometry (Paper 3)
Euclidean Geometry (Paper 3)
- published: 29 Aug 2013
- views: 77
photo: Creative Commons / TrackRecord
09 Sep 2015
As others ran for the exit, US investment guru Warren Buffett piled $US500 million ($710 million) a week in shares during the recent stock market turmoil. The Dow Jones Industrial Average dropped 10 per cent at one point last month as fears over the health of the Chinese economy rocked global markets ... Chinese online game maker Dalian Zeus Entertainment paid $2,345,678 to win this year's auction. Long-term view ... AP. ....
photo: Creative Commons / Pauldavidgill
08 Sep 2015
Image copyright Alexander Tiedemann/Flickr Image caption The cliff edge is a popular spot for thrill seekers. A 24-year-old Australian exchange student has fallen to her death from a spectacular Norway cliff popular with photographers ... Share this story About sharing. ....
photo: AP / Hani Mohammed
08 Sep 2015
It took a picture. The image of little Aylan Kurdi dead on a beach in Bodrum, Turkey, appears at last to have woken the world from its slumber in relation to the horror of modern Syria. Iconic photography has changed the course of history before, most notably during the Vietnam War ... And that means defeating the savagery of so-called Islamic State ... But all the evidence is clear. the majority are Syrian.READ MORE ... No more ... React Now. Tweet ... ....
photo: US Navy / MCS3 Jackie Hart
08 Sep 2015
(CNN)For decades, the United States has had the world's largest and most advanced naval fleet, positioning ships and aircraft carriers in strategic locations across the globe to protect national interests and facilitate free trade ... JUST WATCHED. Navy launches newest combat ship. Replay. More Videos ... MUST WATCH. Navy launches newest combat ship 01.02 ... making sure the Navy is capable of achieving U.S ... Wisconsin Gov ... The U.S ... JUST WATCHED ... U.S....
photo: ESA/Hubble & NASA and the LEGUS Team, Acknowledgement: R. Gendler
Who owns outer space? And what happens when corporations want to extract resources from asteroids ...
The Independent08 Sep 2015
There was never a territory in human history that someone didn't think they could own or make money out of. And that goes for outer space as well – in fact, it has done for the best part of 60 years. The plaque left by the first manned mission to the Moon in 1969 declared that Neil Armstrong and crew had "come in peace for all mankind" ... "Why bother going to do that?" says Stuart ... Explains Stuart ... "I don't know ... ....
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Sydney Morning Herald
09 Jul 2015
"St ... "A straight line it is," insists Phil Morey, of Guildford (as the crow flies over the curvature of the earth, Column 8, Friday), "but not in Euclidean geometry, rather in Riemannian geometry where the internal angles of a triangle add up to greater than 180 degrees ... There's always a simple explanation to be had here....
Edit
Huffington Post
09 Jul 2015
Alice’s Adventures in Wonderland has, from the beginning, been rather capricious ... 1 ... 2 ... Abstract geometry and the Church of England are probably not the first associations you have with the Alice books ... The caterpillar, Hatter, and Hare become irrational proponents of the new math, equating ravens with writing desks, while the Chesire Cat is a reassuring emissary of Euclidean geometry, his smile maintaining the form of an ellipse....
Edit
The Guardian
17 Jun 2015
The final two E3 press conferences brought us familiar names like Star Fox, Metroid and Final Fantasy, but few surprises. Star Fox Zero – a highlight of Nintendo’s E3 2015 press conference, which received a mixed reception from fans. Keith Stuart. @keefstuart. Wednesday 17 June 2015 17.25 BST Last modified on Wednesday 17 June 2015 17.27 BST ... Mankind Divided and Just Cause 3 ... thing ... If that doesn’t break all the laws of Euclidean geometry ... ....
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Seattle Post
18 May 2015
This chapter describes traditional Euclidean geometry, and proposes the round inch as a substitute for the square inch as a fundamental unit of geometric measurement ... However, the utility of the flowtube meter does not depend on circular geometry, and the geometry of the flowtube meter is completely consistent with traditional Euclidean geometry....
Edit
Big News Network
07 May 2015
Grid cells, space-mapping neurons of the entorhinal cortex of rodents, could also work for hyperbolic surfaces. A new study tests a model (a computer simulation) based on mathematical principles, ... ....
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Belfast Telegraph
18 Apr 2015
University Challenge is a national institution. Every couple of years, one contestant does stupendously well by answering nearly all the starters for 10. "Super guy", "brilliant woman", everyone says, and then the amazing student slips back into ordinary life ... Loveday showed an impressive range ... It is quick-fire and fast moving ... The difficulty is that you may know absolutely nothing about Italian opera, or Euclidean geometry ... Comments (0)....
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London Evening Standard
17 Apr 2015
University Challenge is a national institution. Every couple of years, one contestant does stupendously well by answering nearly all the starters for ten. “Super guy”, “brilliant woman”, everyone says, and then the amazing student slips back into ordinary life ... Loveday showed an impressive range ... It is quick-fire and fast moving ... The difficulty is that you may know absolutely nothing about Italian opera, or Euclidean geometry ... ....
Edit
Fresno Bee
12 Apr 2015
Modern American universities used to assume four goals. First, their general education core taught students how to reason inductively and imparted an aesthetic sense through acquiring knowledge of Michelangelo, the Battle of Gettysburg, “Medea” and “King Lear,” Beethoven’s “Ode to Joy,” and astronomy and Euclidean geometry ... Finally, universities were not monopolistic price gougers ... ....
Edit
WorldNetDaily
11 Apr 2015
(National Review) Modern American universities used to assume four goals. First, their general education core taught students how to reason inductively and imparted an aesthetic sense through acquiring knowledge of Michelangelo, the Battle of Gettysburg, “Medea” and “King Lear,” Beethoven’s “Ode to Joy,” and astronomy and Euclidean geometry ... Note ... ....
Edit
Richmond Times Dispatch
11 Apr 2015
STANFORD, Calif. — Modern American universities used to assume four goals. First, their general education core taught students how to reason inductively and imparted an aesthetic sense through acquiring knowledge of Michelangelo, the Battle of Gettysburg, “Medea” and “King Lear,” Beethoven’s “Ode to Joy,” and astronomy and Euclidean geometry ... Third, four years of college trained students for productive careers ... ....
Edit
WorldNetDaily
10 Apr 2015
First, their general education core taught students how to reason inductively and imparted an aesthetic sense through acquiring knowledge of Michelangelo, the Battle of Gettysburg, “Medea” and “King Lear,” Beethoven’s “Ode to Joy,” and astronomy and Euclidean geometry ... Note ... Contact WND ... ....
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The Columbus Dispatch
10 Apr 2015
Modern American universities used to assume four goals. First, their general education core taught students how to reason inductively and imparted an aesthetic sense through acquiring knowledge of Michelangelo, the Battle of Gettysburg, Medea and King Lear, Beethoven’s Ode to Joy and astronomy and Euclidean geometry ... Third, four years of college trained students for productive careers ... Is it too late for solutions? ... ....
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Real Clear Politics
09 Apr 2015
Modern American universities used to assume four goals. First, their general education core taught students how to reason inductively and imparted an aesthetic sense through acquiring knowledge of Michelangelo, the Battle of Gettysburg, “Medea” and “King Lear,” Beethoven’s “Ode to Joy,” and astronomy and Euclidean geometry ... Third, four years of college trained students for productive careers ... ....
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