The operation process of drawing the grand tangent line of a circle using the geometric sketchpad

1. Construct circles A and B. The centers of the circles are A and B respectively, connecting points A and B. Line segment AB intersects circle A at point E. Line segment AB intersects circle B at point C, connecting BC.

2. Select point A and line segment AB, select [Construction] - [Vertical Line], select point A and line segment BC, select [Construction] - [Draw with circle center and radius] Circle], the circle intersects AB at point D.

3. Connect DE, with A as the center and DE as the radius, draw a circle perpendicular to point F.

4. Connect BF, select BF and point F, construct a vertical line, and intersect circle A at G.

5. Select the perpendicular line passing through point G and point G, select [Construction] - [Perpendicular Line], and it is tangent to circle B. This line is what you are looking for. A grandpa tangent.

6. Double-click line segment AB to mark it as the center of rotation, select the tangent line, and select [Transform]-[Reflection] to get another tangent line to the grandparent.

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