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Video Notes-Sacred Geometry

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all right and welcome to your video notes everybody this is a activity after your midterm I want to work on this I had time but I wanted to give you the information and the actual activity ahead of time because I know a lot of you guys like to work on your material and your project had so here you go this is we are your friends activity after our mid-term 3 next week you need some supplies what is a compass ruler compass Ruler all right this is about drawing activity about drawing so what is a visica and how is it related to an equilateral triangle follow me to go ahead and start Quest career center just like that I'm going to keep the same measurement on the compass I'm not going to change it I'm going to go ahead and Center it and draw a circle so oh there's my first one I know I'm going to go ahead and draw another Circle by centering it we're on the circumference of this for Circle so why not that's my new center take your compass and with the exact same radius as before I'm going to Anchor my new circle on the circumference of the circle and draw a new Circle all right so what exactly is a Jessica it is this shape right here in the middle Shear this oval is famous it's known for its not to be a shape that has been used in a lot of artwork it's been used you see it on the on the dollar bill is used as the shape for the eyeball on top of the pyramid on the dollar bill anyways that's a bisque on this is where it comes from its the intersection of two circles and what's interesting about it is when you look at the two senators from each circle and where they answers you get this very very interesting shape and that shape is an equilateral triangle I don't know if you noticed but your title for this wasn't fact sacred geometry and that's because that's insecurities all about it's a on activity based on Geometry and the tools of geometry we see that we can find by intersecting a couple circles an equilateral triangle so sacred geometry has to do with geometry not two shapes but specifically we use the tools of geometry like a compass and a straightedge and how we can find a lot of different shapes in a lot of these shapes of course have a particular meaning historically artistically religiously politically so forth and so forth go to some other shapes take a look at a hexagon go ahead and now we're going to draw three circles when I start with a center go ahead draw a oops I keep slipping hang out with your paper. All right there's one I'm going to go ahead put my next Center on the circumference right here and using the same measurement of a compass I'm going to make my next Circle Center right there and here's my next Circle and now I'm going to go ahead current another Center here I'm going to have three circles all of the same radius back to back to back now we go all right now let's take a look at all of the places where the circles are intersecting they intersect here in the sector this is the original Center turn the original Circle there's the other ones go ahead and connect these points of intersection and you will discover that you have a hexagon before your eyes so when you're thinking about the history of geometry talking over a thousand over 2000 years ago and the mathematicians we're discovering all these new shapes and you look at the tools that they had it's no wonder that they felt that geometry wasn't just the study of math but it was sacred because with the simple use of a circle using a compass which is a tool that they had you know to 3,000 years ago on a straight edge not a ruler but a straight edge with these two tools they were able to discover all of these new shapes hexagon regular polygons equilateral triangles and so forth and so forth okay so what is your task going to be the teachers will be on Google classroom but he is just to show you or give you an idea of what you're going to be doing and how right you going to be working this out the three drawings the first one you going to find an equilateral triangle and I already did example for you here's one find another way of using a compass and straightedge to find an equilateral triangle and find a hexagon I showed you one way only to find another way of finding a hexagon here's your challenge try to find a dodecagon a dodecagon is a shape with 12 sides I'm going to go ahead and show you some samples that I created in the past and here's one here's my use my first attempt at a dodecagon I couldn't find it but you can see here if you count the sides yeah 1 2 3 4 5 6 7 8 9 10 11 you go around you can find 12 sides you can see all of the circles that I had going at the same time here's some other ways of looking at it when you're experimenting right draws many circles as you can this example is a total of 1 to 5 6 7 this is 7 tangent circles perfectly fitting inside one larger Circle all done with a compass how to shape so here is to play around with the compass look for patterns look for intersections and try to discover where those three shapes are at the tree that you're responsible for people that owe triangle hexagon and dodecagon details on Google Classroom all right bye bye

Uploaded by Nello Santillana.

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Video Notes-Sacred Geometry

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