2006
DOI: 10.1007/s00004-006-0021-y
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On Division in Extreme and Mean Ratio and its Connection to a Particular Re-Expression of the Golden Quadratic Equation x2 − x − 1 =  0

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“…The golden ratio, denoted by , is an irrational number given by = (1 + √ 5)/2 [1]. The paper by Ackermann [2] may likely be the earliest literature on the golden ratio in a mathematics journal in English in 1895, but it attracted and has attracted the interest of scientists and engineers in various fields of sciences and engineering, ranging from chemistry to computer science; see, for example, [1], Benassi [3], Putz [4], Orita et al [5], Perez [6], Hassaballah et al [7], Kellerhals [8], Henein et al [9], Hurtley [10], Coldea et al [11], Affleck [12], Jones et al [13], Kaygn et al [14], Cervantes et al [15], Chebotarev [16], Benavoli et al [17], Manikantan et al [18], Assimakis et al [19], Good [20], Davis and Jahnke [21], Totland [22], Moufarrège [23], Boeyens [24], Iñiguez et al [25], Andrews and Zhang [26], Hofri and Rosberg [27], Itai and Rosberg [28], Cassandras and Julka [29], and Tanackov et al [30], just to mention a few.…”
Section: Instructionmentioning
confidence: 99%
“…The golden ratio, denoted by , is an irrational number given by = (1 + √ 5)/2 [1]. The paper by Ackermann [2] may likely be the earliest literature on the golden ratio in a mathematics journal in English in 1895, but it attracted and has attracted the interest of scientists and engineers in various fields of sciences and engineering, ranging from chemistry to computer science; see, for example, [1], Benassi [3], Putz [4], Orita et al [5], Perez [6], Hassaballah et al [7], Kellerhals [8], Henein et al [9], Hurtley [10], Coldea et al [11], Affleck [12], Jones et al [13], Kaygn et al [14], Cervantes et al [15], Chebotarev [16], Benavoli et al [17], Manikantan et al [18], Assimakis et al [19], Good [20], Davis and Jahnke [21], Totland [22], Moufarrège [23], Boeyens [24], Iñiguez et al [25], Andrews and Zhang [26], Hofri and Rosberg [27], Itai and Rosberg [28], Cassandras and Julka [29], and Tanackov et al [30], just to mention a few.…”
Section: Instructionmentioning
confidence: 99%