Basic Euclidean Geometry: Points, Lines, and Planes

Pythagoras wasn't the only Greek fellow that was into math, you know. A little bit later, a fellow named Euclid built upon the work of old Pythag, and turned geometry more or less into what we learn in school today. Pretty impressive stuff! Let's learn some basic terminology so that we can maneuver this mathematical wonderland.

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[bramweinreder]

I wish I saw these videos earlier. At one time I had a job interview for programming in a CAD capacity, and as part of it they made me write some Euclydean algorythms like dot products etc. The test had more to do with understanding Euclydean geometry than with actual programming. Unfortunately I didn't do too well (I was also a new parent so didn't really have time for homework), so that job was a bust. But it told me enough to know that I wouldn't have been a good fit.

[jasonruzicka]

I paused it at :40 and took a deep breath. i looked deep into your soul and something told me everything is going to be okay

[monihdd]

Professor David, from the bottom of my heart, thank you so much for your work

[armakitty]

I just realized that 2018 was 6 years ago, I feel so old now.

[JoeDebunks]

Just got to geometry can't wait for the fun!

[isabelasodre]

THAT'S JUST AMAZING OMG I LOVE MATH SO MUCH AND THIS CHANNEL IS PERFECT

[pavan]

I like n love ur explanation it was clearly explained, easily understandable

[azuryvillarreal]

i just subscribed to your channel but omg you are helping me so much, like your explaining everything that i need this year

[docweston]

Am I correct in believing pythagoras contributed to the one dimensional plane geometry, and Euclid the 3 dimensions?

[carlogrisafi]

Hi Dave, I think there's a mistake in 3:34 - I think coterminal rays would overlap completely thus not create angles whereas non-coterminal rays is what creates angles (i.e. the rays extend in different directions).

[tttsss]

eulicdien just looks like professor dave

[OYISA-skuf]

I'm still in 6th grade just love to learn❤

[timeearning]

Discussion on plane curves, give me a definition

[grhpsyfuck]

Investigate the phenomenon. Double check. Can someone tell me what's going on?

[godlysidekick]

Crazy to think that the universe is topologically FLAT, which means it has no thickness. It can curve, but depth is an illusion!!

[yeettiti]

"Geometry" was actually developed out of KMT, down Nile River Valley, far before Greek interaction; the Greeks were learned in the ways of the Khemetics and for hundreds of years werent allowed in the land due to being diametric opposites; -Khem (Chem-istry, Al-chem-y, Khe-met, met= "to measure", trigono-met-ry, geo-met-ry, arith-met-ic); black, melanated pple started this wave

[saltyjo]

There is the 5th postulate that you left out…

[yawos]

Geometry was not devised in ancient Greece. Geometry was devised in Ancient Egypt. The Ancient Greeks just plagiarized.

[_-]

If a line is made up of points, but points are non dimensional how can a non dimensional give rise to dimensions