Construction of the golden section
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C C O O N N S S T T R R U U C C T T I I O O N N O O F F T T H H E E G G O O L L D D E E N N S S E E C C T T I I O O N N U U S S I I N N G G G G E E O O G G E E B B R R A A 1. Use the Segment between two points tool to create a line segment. 2. Use the Midpoint tool to find midpoint of AB. 3. Use the Angle with given size tool to create a clockwise angle (90°) from the midpoint to point B. 4. Use the Segment between two points tool to create segments AD and BD. 5. Use Circle with center through point tool and create a circle with center D and raduis B. 6. Mark the Intersection of the circle and line segment AD. 7. Create a circle with center A and radius E. 8. Mark the Intersection of segment AB and the circle. 9. Create segments AF and FB. 10. Use the Distance tool and click on segment AF and FB. 11. Use the Text tool to enter " GOLDEN RATIO = " + f/g 12. Move points A and B, what do you notice about the RATIO?
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Transcript of Construction of the golden section
CCCOOONNNSSSTTTRRRUUUCCCTTTIIIOOONNN OOOFFF TTTHHHEEE GGGOOOLLLDDDEEENNN SSSEEECCCTTTIIIOOONNN
UUUSSSIIINNNGGG GGGEEEOOOGGGEEEBBBRRRAAA
1. Use the Segment between two points tool to create a line
segment.
2. Use the Midpoint tool to find midpoint of AB.
3. Use the Angle with given size tool to create a clockwise angle
(90°) from the midpoint to point B.
4. Use the Segment between two points tool to create segments
AD and BD.
5. Use Circle with center through point tool and create a circle
with center D and raduis B.
6. Mark the Intersection of the circle and line segment AD.
7. Create a circle with center A and radius E.
8. Mark the Intersection of segment AB and the circle.
9. Create segments AF and FB.
10. Use the Distance tool and click on segment AF and FB.
11. Use the Text tool to enter " GOLDEN RATIO = " + f/g
12. Move points A and B, what do you notice about the RATIO?
