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[Music] hello today we are going to learn how to join given points by drawing tangent arcs between nine tangent points given the first center point o one we are going to base this drawing on two important tangent laws the first law states that the center of every arc which passes through points a and b must always be located on the perpendicular bisector of the line segment a b and the second law states for two circles to be tangential their center points must be aligned with their tangent point so the first step is to work out the perpendicular bisector of the given points bc to do this setting the compass on any radius more than half of bc and centered on b we are going to describe an arc to the left as shown here and now with the same radius and setting the compass on point c we describe another arc intersecting our previously drawn arc at two points and now joining these two points we obtain the perpendicular bisector and the next step is to join the given center point one to poin