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Okay, so now we are going to transform the angles of the triangle into linked arches, okay?

2
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Instead of leaving the triangle pointy, we are going to do it with curves, yeah?

3
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Okay, so what we have to do is to draw the bisector lines of each angle, yeah?

4
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So, I'm going to place the needle of the compass in the vertex, okay, and make an arch.

5
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okay and here i have a bisector line okay um i'm going to do the same with the other vertex

6
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oops sorry here okay this is the other bisector line okay and we can do the same with the third

7
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angle but i'm going to tell you a secret the three bisector lines of the three angles of

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a triangle touch in the same place so just joining this point with the corner with the

9
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with the third vertex i have the third bisector line okay there are three bisector lines okay so

10
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in order to join each side with the other one i have to select one point of each bisector line

11
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Okay, so for example, I'm going to do a small circumference here, yeah, okay, I select this point, and now I make a perpendicular line to each side from, pass through this point that I have selected, okay, here, and this is going to be a linked point, and here.

12
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Okay, not to this one because this bisector line is the bisector line of this side and this other side.

13
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This is nothing to begin with.

14
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Okay, so now I can put the needle of my compass in this point and join these two points.

15
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Okay, like this.

16
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Okay, so the circumference link these two sides.

17
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Okay, here I'm going to use a bigger one.

18
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but you can do it however you want okay and join with a perpendicular line

19
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and join when up with a perpendicular line okay i'm going to use the propelling pencil i don't

20
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like the pencil because it's not sharp okay so now here okay no i have done it too small

21
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let's erase this okay it has to arrive there from here okay to this point okay nice okay so here we

22
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have the other side confidence and this one is going to be even bigger okay so i'm going to do

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it for example here and the same perpendicular lines perpendicular lines here and here we have

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the other arch take care okay the circumference can touch each other okay because if they are

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they are going to cut each other or touch or not or whatever okay this is just an exercise to show

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you that we can transform a triangle in into another shape with more curves okay so what i'm

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to do is to mark the new shape we have though you can do it also but do it with a pen seal

28
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okay with a pencil not with a pen okay look i have make a mistake it's okay

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here i join these two sides here i join the other two okay and here i join

30
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drawing the smallest one, okay? So this is a new shape I have built with tangents.

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Using a triangle, repeat it. You can use the measure of the circumference that you

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want, okay? You can do it smaller, you can do it bigger, or you can make them to

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have the same size, the same radius size, okay?