1 / 19

Synthetic geometry

Synthetic geometry. The human abstraction. Tu ne cede malis sed contra audentior ito. From Euclidean Geometry to Non-Euclidean G eometry. Euclidean geometry is one of the earliest geometry concepts known to man.

aradia
Télécharger la présentation

Synthetic geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Synthetic geometry The human abstraction Tu ne cede malissed contra audentiorito

  2. From Euclidean Geometry to Non-Euclidean Geometry Euclidean geometry is one of the earliest geometry concepts known to man. It works best when applied to 2D plains/objects. However when applied to 3D surfaces, 3D macro objects it becomes less functional thus Non-Euclidean geometry came to being. Ipsascientiapotestasest Euclid

  3. Gauss,Bolyaiand Lobachevski Theaxiomatic study of Euclidean geometry in the 19th Century led to the discovery of non-Euclidean geometries withdifferent axioms. Gauss, Bolyai and  LobachevskiindependentlydiscoveredHyperbolic Geometry, in which the Euclidean axiom of parallelism is replaced by an alternative. Gauss Bolyai Lobachevski Autviaminveniamautfaciam

  4. Hyperbolic Geometry Elliptic Geometry Veritasvosliberabit

  5. Poincaré Poincaré soon discovered the first physical geometric model of hyperbolic geometry, in a form known as thePoincaré disc. Dimidiumfacti qui coepithabet

  6. Poincaré disc Docendodiscimus

  7. Icosahedron honeycomb Poincaré disc Adde parvumparvo magnusacervuserit

  8. Aftermath of the creation of Non-Euclidean geometry Faber estquisquefortunaesuae

  9. Even though the discovery didn’t benefit the people of the 19th century immediately nowadays Non-Euclidean/Axiomatic Geometry is inseparable from our daily lives. It is absolutely essential for scientists. Many of the science models are created in 3 dimensions (3D) so the classical Euclidean geometry is just not enough for an accurate model. Nulli secundus /nulli secunda

  10. Gravity Electromagnetism Per aspera ad astra!

  11. The weak nuclear force And the strong nuclear force Credequod habes, et habes

  12. The shown above is referred to as Fundamental interaction or The 4 forces of nature. They are the 4 absolute laws of the universe and their Accurate representation in physical and mathematical models is Heavily dependent on Axiomatic Geometry! All terrestrial and celestial events can be represented with Axiomatic Geometry! Credo utintelligam

  13. Credo quia absurdum est

  14. Nihilobstat

  15. De fumo in flammam

  16. Created by HristiyanKolev Class12-a year 2011 SOU Jeleznik, Stara Zagora www.jeleznik.org Material source: http://www.wikipedia.org/ http://www.wolframalpha.com/ Pictures: http://wall.alphacoders.com/http://devianart.org/http://www.google.com/ Dum spiro spero, Dum spiro scio

  17. + Tune cede malissed contra audentioritoYield not to misfortunes, but advance all the more boldly against them all + IpsascientiapotestasestKnowledge itself is power. + AutviaminveniamautfaciamI'll either find a way or make one + VeritasvosliberabitThe truth shall set you free + Dimidiumfacti qui coepithabetHe conquers twice who in the hour of conquest conquers himself.

  18. + DocendodiscimusTeach in order to learn (we learn by teaching) + AddeparvumparvomagnusacervuseritAdd a little to a little and there will be a great heap + Faber estquisquefortunaesuaeevery man is an architect of his own fortune + Nulli secundus /nulli secundaSecond to none + Per aspera ad astra! Through difficulties to the stars!

  19. + Credequod habes, et habesBelieve that you have it, and you do. + Credo utintelligamI believe so that I may understand + Credo quia absurdum estI believe it because it is absurd + Nihilobstat nothing stands in the way + De fumo in flammamOut of the smoke into the flame + Dum spirospero. Dum spiroscio.While I breathe, I dream. While I breath, I learn.

More Related