Yin yang και ο χρυσός αριθμός φ

Στα μαθηματικά δύο ποσότητες έχουν αναλογία χρυσής τομής, αν ο λόγος του αθροίσματος τους προς τη μεγαλύτερη ποσότητα είναι ίσος με το λόγο της μεγαλύτερης ποσότητας προς τη μικρότερη.[br][br]Η εικόνα αναπαριστά τη γεωμετρική ερμηνεία των παραπάνω.[br][br][img]data:image/png;base64,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[/img][br][br]Εκφρασμένο αλγεβρικά: [br][br] [math]\frac{a+b}{b}=\frac{a}{b}[/math][br][br]

Information: Yin yang και ο χρυσός αριθμός φ