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Line 8: − + − (φ) = <math>\frac{\(a + b)}{a}</math> = <math>\frac{\a}{b}</math> + − + − +
Manuals/calci/GOLDENRATIO (view source)
Revision as of 12:38, 19 December 2013
, 12:38, 19 December 2013no edit summary
*Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
*Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
*Golden ratio is represented as '''phi(φ)''' and its conjugate is represented as '''Phi (&Phi)'''.
*Golden ratio is represented as '''phi(φ also called smallphi)''' and its conjugate is represented as '''Phi (Φ also called capitalphi)'''.
*If 'a' and 'b' are two quantities with 'a>b', then
*If 'a' and 'b' are two quantities with 'a>b', then
φ = <math>\frac{(a + b)}{a}</math> = <math>\frac {a}{b}</math>
*Using quadratic formula, golden ratio is represented as -
*Using quadratic formula, golden ratio is represented as -
φ = <math>\frac{1+&sqrt; 5}{2}</math> = 1.618033988749895
φ = <math>\frac{(1 + √5)}{2}</math> = 1.618033988749895
Φ = <math>\frac{1-&sqrt; 5}{2}</math> = 0.6180339887498948
Φ = <math>\frac{(1 - √5)}{2}</math> = -0.6180339887498948 (Absolute value 0.6180339887498948 is considered as capitalphi.
*Argument <math>phismall</math> can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
*Argument <math>phismall</math> can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.