Tag Archives: tỷ số vàng

Proof of Jo Niemeyer’s construction using Kurt Hofstetter’s construction – Chứng minh phép dựng Niemeyer dùng phép dựng Hofstetter

In “A simple construction of the golden section”, Forum Geometricorum, 11 (2011) 53: http://forumgeom.fau.edu/FG2011volume11/FG201105index.html Jo Niemeyer offered a beautiful way of constructing the Golden Ratio with three equal segments. It is interesting that Jo Niemeyer’s construction can be proved by … Continue reading

Posted in Triangle Geometry | Tagged , , , , , , , , , | Leave a comment

Golden Ratio in Parabola – Tỷ Số Vàng trong Parabola

Point E is orthogonal projection of focus F on directrix of a parabola. The circle with diameter EF intersects the parabola at two points A, B. Results: Common chord AB divides diameter EF by golden ratio and of course AEF … Continue reading

Posted in Triangle Geometry | Tagged , , , , , , , , , , , | Leave a comment

Incenters And Golden Ratios In Square

Incenters And Golden Ratios In Square   We denote (X, x) as a circle centered at X with radius x. In square ABCD: M, N, P are midpoints of AB, BC, CD respectively. a is sidelength of the square. E … Continue reading

Posted in Triangle Geometry | Tagged , , , , , , , , , , , | Leave a comment