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How can I geometrically draw a segment equal to 1/a with "a" given geometrically but unknown algebraically (1 is one unit"?
this is for a research in the field of harmonics
2 Answers
- Anonymous6 years agoFavorite Answer
Use similar triangles.
Draw right triangle ABC with legs 1 and a.
Draw DE parallel to BC where AD = 1.
ABC ~ ADE and proportionality is 1/a.
Then DE = 1/a
- Φ² = Φ+1Lv 76 years ago
1) Draw a circle with y intercepts 1 and -1, and an x intercept of a. You have three points, so the bisector of the x intercept and one of the y intercepts intersects the x axis at the center of the circle.
2) The remaining x intercept is -1/a, so the length of the segment from this intercept to the origin is 1/a.
