{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Definition of the Golden Ratio

Definition of the Golden Ratio - artistic director of the...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Definition of the Golden Ratio The golden ratio is also called extreme and mean ratio . According to Euclid, 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 less. Derivation of the Golden Ratio Let smaller part = 1, larger part = . Thus is the golden ratio. It is often designated by the greek letter phi, for Phideas, (fl. c. 490-430 BC), Athenian sculptor and
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: artistic director of the construction of the Parthenon, who supposedly used the golden ratio in his work. Then by the definition of the golden ratio, / 1 = (1 + ) / so 2 = 1 2 + 1 and we get the quadratic equation, 2- - 1 = 0 As a project, solve this quadratic equation for the golden ratio . You should get, = 1/2 + 5 / 2 1.618 Project: Do this derivation....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern