The Divine Section or Golden Ratio
Dec 12, 2018 20:08:47 #
The formulaion of the Golden Ratio is one of the roots of the formula concerning the division of a line at a particular. A line of length C is divide by a point to give line segments of length A and B, with A > B. The condition is that the ratios C/A and A/B are equal. This ratio equality enables the formula C(C - A) = C^2. There are a pair of iPad apps for the HP48G programable calculator in which the above formula may be entered. So the length A can be calculated from any given length C. C and A can be the sides of a rectangle such as some image cropping.
Dec 13, 2018 06:42:46 #
Dec 13, 2018 07:55:54 #
exakta56 wrote:
Some of us just fiddle with cropping until we like what we see.
Dec 13, 2018 07:56:59 #
aphelps
Loc: Central Ohio
John_F wrote:
The formulaion of the Golden Ratio is one of the r... (show quote)
I get c(c-a)=a(a) Are your original ratios correct? Is the condition correct?
Dec 13, 2018 09:27:43 #
Dec 13, 2018 10:21:14 #
exakta56 wrote:
Some of us just fiddle with cropping until we like what we see.
The eyes have it!!
Dec 13, 2018 10:49:38 #
Dec 13, 2018 10:50:41 #
Dec 13, 2018 11:23:11 #
exakta56 wrote:
Some of us just fiddle with cropping until we like what we see.
When math forces me to crop a certain way, I'll give up photography.
Dec 13, 2018 11:29:49 #
I'll think about that when I forget that my Sony has a screen overlay that does the job for me.
Dec 13, 2018 11:47:38 #
exakta56 wrote:
Some of us just fiddle with cropping until we like what we see.
The eye don’t lie!
Dec 13, 2018 12:17:54 #
Dec 13, 2018 12:31:53 #
Dec 13, 2018 12:50:30 #
There has been pretty much written about the Divine Ratio showing up in various places. One such is the placement of objects and color splotches in grand master paintings. So crop to what looks good to you. Then measure the dimenstions to see how close, if at all, relate to the Golden Section. Or placement of objects in the image if they are controlled by you. An amusing experiement.
exakta56 wrote:
Some of us just fiddle with cropping until we like what we see.
Dec 13, 2018 13:03:29 #
A line of length C is cut into two parts of length A and B, so C = A + B. Per Euclid C/A = A/B and B = C - A. Then clearing of fractions gives the quadratic C^2 - CA - A^2 = 0. One root is φ = 1.618.... , another is .618.... Putting the formula into a programable calculator is just a way of commuting A given any desired C. C could be one side of a crop.
aphelps wrote:
I get c(c-a)=a(a) Are your original ratios correct? Is the condition correct?
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