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[Music] hello today we are going to learn how to link any given circle with a tangent point on a straight line here you can see a given circle with center point o and radius r and a straight line s with a given tangent point t so the first step we are going to draw a perpendicular line from tangent point t on the straight line as can be seen here using a 90 degree set square so now that we have our perpendicular line to the line s we are going to transport the radius r onto this perpendicular line onto the bottom half of the perpendicular line so setting our compass on tangent point t we scribe an arc below obtaining a new point which we will call point p so to continue now were going to join point p to center point o this can be seen here so the next step were going to work out the perpendicular bisector of the line op so setting our compass to any radius slightly longer than half the length of the line were going to describe an arc above and below the line op as can be seen here
