Euclidean & Non-Euclidean Geometries Part 3: Definitions

In Part 2, I said that Part 3 would tell what the axioms of Euclidean geometry are. Instead, this is the first video entirely about definitions. There will be another later in the series, but not immediately.

The undefined terms are:

point
line
lie on
between
congruent

Category:

Howto & Style

Tags:

• Geometry
• logic
• axiom
• postulate
• definition

[MrLozable]

Thanks for these videos they are really helpful, best explanation I've found yet. Your a great teacher!

[MrVambxn]

@setnoset i know..that's what im saying.it's not you i dissagree with.it's the video guy....they advanced mathematics and other sciences a lot back then with very limited resources..he just doesn't seem to thing of this like it is a big deal.well it is a big deal,he doesn,t get it and he pisses me off.

[setnoset]

@MrVambxn I absolutely agree on the point that you made that greeks were very important. Some websites try to rate the mathematicians but this is very contraversial. we cannot say intelligence is synonym with complexity of comtributions made or anything of this nature.

What I mean is that at the time of the greeks resources were very limited. But it took the greatest mathematicians to obtain resources out of so little. As an example see archimede's method for finding an approximation for Pi

[MrVambxn]

@setnoset i know that he understands that,but he doesnt seem like he understants it's importance.and if someone doesnt understant something like this,i dont thing he is qualified to get on the internet and teach stuff to people..

[MrVambxn]

@setnoset im sure we can go further than that and we MUST go...i never said the opposite.what i said is that he talks about Euklides like he was expecting for HIM to go further and like he was stupid because he didn't.the greeks have set the base for most(if not all)the major sciences of the 20th sentury and if there is no base,you got nothing to build on.*continues*

[setnoset]

@MrVambxn No it is indeed very useful and I dont think he is saying that. He is saying that we can go further than that. With Euclidean Geometry we can understand and calculate many things. But with non-euclidean geometry we can calculate and understand even more. Put both together and we get the knowledge that encompasses science and mathematics today, (loosely speaking).

If Euclidean geometry didnt exist there would be hardly any people trying to find alternatives.

[MrVambxn]

(3)all the human made things that you see around at this very moment are there because of the greeks..if they didnt existed everything would still be there but maybe some hundred years later than now.when the greeks were building the parthenon some others were eating bananas on trees.they knew the number of planets on the solar system when others were still lived in caves.so get your facts right sir and show some respect.by the way sorry about my english but you see....im greek.

[MrVambxn]

ok..why you are trying to lower euklides importance and personality every now and then?and you are saying that the greek sayings about math and sience in general are stupid and inperfect?(in previous video).let me tell you this sir..1(1)based on the technology and the knowledge of the time,all the scientific theories of the greeks are more then perfect and nowhere near stupid.(2)the 1\3 of the language you speak in your every day life is greek and\or is originated in greece.*continues*

[SigmarusOne]

good video, great job

[ruasimon]

great job!!