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Graphical tutorial on making three tangent circles using Geometric Sketchpad

Author: Ai Xiaomo Date: 2022-02-25

geometric sketchpad
Geometric Sketchpad-5.0.7.6 latest version

science tools Storage size: 82.3MB Time: 2022-08-10

Software introduction: The free version of Geometric Sketchpad provides rich and convenient invention functions, allowing users to write the teaching courseware they need as they wish. main...

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You still can’t make three circles that are tangent to each other? Try geometric sketchpad software. In the following article, the editor has specially shared with you the graphic tutorial on making three tangent circles on the geometric sketchpad. Friends in need should not miss it!

Step 1: Make three line segments (acting as the radii of three circles respectively). Open the geometric sketchpad and use the "Line Segment Tool" to draw three line segments of different lengths in the blank area of ​​the sketchpad and mark them as a, b, and c;

1.jpg

Step 2: Measure the lengths of the three line segments. Select line segments a, b, and c in turn and execute the "Measure" - "Length" command, so that the lengths of the three line segments are measured.

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Step 3: Use the geometric sketchpad calculation function to calculate: a+b, b+c, c+a (which will serve as the circle center distance in the future). Execute the "Data" - "Calculate" command, and calculate the values ​​of a+b, b+c, c+a in the pop-up calculation dialog box;

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Step 4: Pick any point O1 in the blank area of ​​the drawing board, select point O1 and the value of a+b, execute "Construction" - "Draw a circle with center and radius", and draw a circle with a+b as the radius;

4.jpg

Step 5: Pick any point O2 on the circle, make a circle with O2 as the center and b+c as the radius. Any intersection point of the two circles is recorded as O3 (at this point, all three circle centers have been found);

5.jpg

Step 6: Hide the circles made in the fourth and fifth steps, and make circles with O1, O2, and O3 as the centers and a, b, and c as the radii (do it in three steps), and you will get the required shape.

6.jpg

The above article explains the graphic and text operation process of making three tangent circles on the geometric sketchpad. I hope friends in need can learn it.

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