705 Quotes About Mathematics

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.

The golden era of the golden number was the Italian renaissance. The expression divine proportion was coined by the great mathematician Luca Pacioli in his book 'De divina proportione', written in 1509.

The Golden Ratio defines the squaring of a circle. Stated in mathematical terms, this says: Given a square of known perimeter, create a circle of equal circumference. According to some, in ancient Egypt, this mathematical mystery was encoded in the measurements of the Great Pyramid of Giza.

It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.

...317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way.

So the mathematician and the artist are companioned in the same dark, and do obeisance to the same gods.

Matematiksel sonuçlar, içerdikleri değerler ne olursa olsun, diğerlerinin içinde en kalıcı olanlardır.

I needed this eternal truth [...] I needed the sense that this invisible world was somehow propping up the visible one, that this one, true line extended infinitely, without width or area, confidently piercing through the shadows. Somehow, this line would help me find peace.

در رشته ی ما در مورد فیثاغورس و سرسپردگی افراطی دار و دسته ی او، بر اساس هندسه ی بی نقص و بقیه ی شکل های انتزاعی ریاضی شوخی می کنند، اما اگر قرار باشد سرسپرده ی چیزی باشیم، سر سپردگی به ریاضی بی نقص به نظر می رسد، زیرا خدا هم باید ریاضیدان باشد.