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Velislav Nikolov

GC-13 Inscribing Three Circles

In this exercise you'll learn how to inscribe 3 circles:






Needed analogue tools:

  • Dividers

  • Pencil

  • Straight Edge

  • Eraser

 

Given:

  • Circle, R=10

Desired:

  • 3 Inscribed Circles

Note: Refer to GC-11 for circumference division and GC-02 for drawing a perpendicular line.

  1. Divide the given circle's circumference in 6 parts (GC-11). Mark each point as shown.

  2. Connect f with O, b with e (passing through O), d with O.

  3. Draw a line, h-i, perpendicular (GC-02) to b-e. The line should be drawn anywhere within the circle's area and crossing O-d.

  4. Mark the intersection of h-i with O-d as j.

  5. Draw a circle with center j and radius j-d.

  6. Circle j-d intersects line h-i. Mark the intersection as k.

  7. Connect d with k and extend the line to cross b-e.

  8. The intersection of b-e with d-k is marked as l.

  9. Draw another line, n-o, perpendicular to b-e, passing through l.

  10. Line n-o crosses o-d. Mark the intersection as p.

  11. Draw a circle with center O and radius O-p.

  12. Mark the intersections of circle O-p with f-o and b-o as r and q. Both of which (r and q) are equivalent to p.

  13. Draw the first inscribed circle with center r and radius r-f.

  14. The second inscribed circle is drawn with center q and radius q-b.

  15. Third inscribed circle - center p and radius p-d.


The order of drawing the inscribed circles is of no consequence.

 

You can download the CAD and GH file here:




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