1
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Okay, so we are going to use the concept of tangents to link these two lines, okay?

2
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This is one line and this is the other, straight lines, with a circumference, okay?

3
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So imagine that you are a car and you are drawing this way, but in order to turn to the right, you have to stop and then turn, okay?

4
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Because you can't take this corner in a fluent way, okay?

5
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You can do it in a fast velocity, okay?

6
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So what we are going to do is to link it with a circumference, okay?

7
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Maybe you will understand it later.

8
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So the first thing we are going to do is to draw the bisector line of the angle, okay?

9
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Of this angle.

10
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Do you remember how to draw a bisector line?

11
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If you don't remember, I will remind you.

12
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So place the needle of the compass in the vertex of the angle, okay?

13
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just in the corner oops uh here okay taking care and make an arch that cuts the angle okay both

14
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sides of the angle like this yeah this distance and this distance is the same and now placing the

15
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compass in this point let's make another arch okay like this and very very important not closing or

16
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opening the compass just with the same radius we are going to make an arch here

17
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okay like this yeah these two radius must cut each other so now I join the

18
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vertex with this point okay and this is the bisector line okay the bisector line

19
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of this angle okay so once we have the bisector line of the angle we decide how

20
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big or how small we want the circumference what we have to do is to place the center of the

21
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circumference in this line okay this is the most important thing if you don't place the needle of

22
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the compass in the line uh it won't touch it won't link the the straight lines okay so for example

23
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i'm going to place it here okay this is going to be the center of my circumference i'm going to

24
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Call it O, this point O.

25
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And now, from this point, I have to draw perpendicular lines to the given one, okay?

26
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To this line and to this other line.

27
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Do you remember how to do it?

28
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Okay, it's quite easy.

29
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You put here the square set, yeah?

30
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Okay?

31
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Down, the square, sorry, not the square set, the square.

32
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Down below, you put the cartamon and now turn the square, okay?

33
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and put the hypotenuse in the center, okay?

34
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This is the radius of the circumference that I'm going to draw,

35
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and this is the point of tangent, okay?

36
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Here I'm going to draw the link, okay?

37
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This is going to be the first point.

38
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And now I'm going to do the same with the other line, okay?

39
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Turn the square, slide it to the center, okay?

40
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Okay, here I have 90 degrees, and this is my second point, okay, 90 degrees 2.

41
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So now I can draw my circumference with the center in O, okay, and placing the compass from 1 to 2, okay.

42
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This is my circumference, okay.

43
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but the shape that I really wanted sorry that I really wanted to draw is the link itself okay so

44
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I'm going to mark only this part do it with a pencil please not with a pen okay this is just

45
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for you to see okay and I'm going to mark also this part okay and also this part yeah and again

46
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just to mark the solution okay so this is the the link of two lines with a

47
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circumference okay you can do it with a bigger one with a bigger one

48
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circumference with a smaller one okay so the link will be that will be a smaller one