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Hello! We are going to start the marvelous world of tangents.

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Doing these exercises, draw an external tangent circumference to the given one.

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The given one is this, in a specific point.

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This is the point, okay?

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So we have to draw a circumference outside this one

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that touches this circumference only in this point, okay?

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It doesn't cut it, just touches it, okay?

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So what we need to do first of all is to join the center of the circumference with the point of tangent.

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We have to make a line that passes through those two points.

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We can do the line with the ruler or with the square, as I'm doing.

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So the solution, the circumference that we are looking for, must have the center in this line.

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okay if you put the center of the circumference outside the line this line

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it wouldn't touch the circumference only in this point if it touch it it will be

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in another point too okay so it must be the center of the

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circumference of the solution must be in this line so we can choose the line we

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want okay so the point there whatever we want if we do it close to them to the

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point we will have a small circumference okay for example like this okay we put

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the needle of the compass in this point and the pencil in the point in the

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given the specific point okay and we draw a circumference of sorry that touch

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that touch the given one only in this point there again but we can we can

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choose another point and different point for example here okay and we will have a

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big circumference those two circumference that I have draw are also

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tangent in this point okay so the beautiful things the beautiful the

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beauty of tangents is that we can link one curve with another okay so you need

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to do that okay but for example if I make Center okay in in the in the

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circumference given till the point okay like this okay only till there okay and

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And then I do the circumference with the center in the other point from the given point, from the, okay, I make this, I make this arch, okay, that are fluent, yeah, okay?

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So this is the beauty of tangents.