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What's going on everybody!
Welcome to today's video on college
geometry. My name is Jack Jenkins and this
is academy of One.
Today we are going to be talking about points line
and planes.
Undefined terms, then we'll more into
the defined terms. Then we'll end with
The postulates.
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[Music] We're going to start of
by defining the undefined terms.
That's right, we're going to be doing that.
So we'll start off with first a set which remember
is just a group of elements or objects.
Then we'll have a point which is an object that
determines a specific position.
Then there is a line. Which connects
two or more points together.
And then there is a plane which
is basically where all the geometric figures
will lie on. [Music]
[Music]
[Music]. The next two terms are
defined terms. We'll start
off with space. Which
is a set of all points. The different
between a space and a plane
is think about plane as being a
two dimensional view.
And think of space as sort of a three dimensional view.
So a point does not exist
in a two dimensional idea.
It exist in all aspects of
it's space. It's alot easier for
me two show you in like say blender.
Infact that's what I'm going to be doing right now.
I should point out that in euclidean
geometry, which is what we're going to be talking about till
chapter or sorry, unit 5.
A plane and a space
are the same. Why? Cause in
euclidean geometry, we specifically talk about
two dimensional shapes. So
the dot only exist in that certain viewpoint.
So just remember, from no until
unit 5 that plane and
space will be interchangeably.
Of course, I'll remind you again when we get to unit 5.
God, I love unit 5.
Let me just say something, is that solid
state geometry is where geometry finally gets going.
And then of course the unit is done so,
I have to make my own solid state geometry series.
Can't wait, it's going to be fun.
Now a geometric figure,
is a set of all
points, lines and planes that
make up a shape or a geometric
figure. For instance, a square is made up
a two dimensional square, a three dimensional square is a cube.
But specifically a two dimensional square
exist in a plane. Has four points and
four lines. That would be the
definition of that geometric figure.
[Music]
[Music]. Let's go over two more
postulates. Postulate 5 says that no
plane contains all points in space.
And if you remember the example, it's cause az
plane is a two dimensional and space
constant of all the planes
around that shape. And if you look at the picture which
is kinda poorly made, I'm sorry, you
can see that there exist the plane and there
also exist another plane going in the z
axis. Or towards you.
That does not exist on that plane.
And postulate 6 says,
all points on a number line correspond with
all real numbers. This is also
known as the ruler postulate. And that's it for
today's video on geometry.
Tune in next time for when we are going to be talking about
segments and rays.
Alright, time for the plugs.
Go ahead and donate if you want better quality
tutorials. Visit academyofone.org
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Have a great day everyone.
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