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The Mathematics Teacher, 1974
This article will be of interest to teachers of analytic geometry. It points out some interesting properties of the logarithmic spiral and cites two examples from physics where this spiral finds applications.
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This article will be of interest to teachers of analytic geometry. It points out some interesting properties of the logarithmic spiral and cites two examples from physics where this spiral finds applications.
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Logarithmic and hyperbolic spirals associated with Schrodinger's equation
Journal of Differential Equations, 2022Geometric properties of the solutions of the equation \[ Q''+\frac{2}{\zeta}Q'-Q+ia(\zeta Q)'=0, \quad 00\), and become singular as \(\zeta \to 0^+\) They rotate around \((0, 0)\) with \({\theta}'_j(\zeta)
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Review on logarithmic spiral bevel gear
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020Logarithmic spiral bevel gear (LSBG) has received increasing attention among industry and academy in the past four decades. This paper attempts to survey and summarize the recent research and development of LSBG, provides comprehensive references for researchers concerning with this topic and helps them identify further research topics.
Jianfeng Jiang +4 more
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Logarithmic-spiral focusing monochromator
Review of Scientific Instruments, 1976A crystal monochromator with a logarithmic-spiral curvature has been designed as part of a low-angle x-ray diffraction camera that uses synchrotron radiation emanating from the storage ring SPEAR at Stanford Linear Accelerator Center. The logarithmic-spiral curvature allows a greater demagnification of the source than is permitted by a cylindrical ...
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Zetaform or logarithmic spiral beach
Australian Geographer, 1978(1978). Zetaform or logarithmic spiral beach. Australian Geographer: Vol. 14, No. 1, pp. 44-45.
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Flying Along a Logarithmic Spiral
Science, 2000ORGANISMAL BIOLOGY Peregrine falcons use two high performance skills—flight speed and visual acuity—to attack their prey. In a trio of papers, Tucker and his colleagues model the quantitative aspects of aerodynamic drag, assess the optimal integration of speed and sight, and present field observations of falcon flight.
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Logarithmic spiral — A splendid curve
Resonance, 2004Due to its various peculiarities, logarithmic spiral drew the attention of mathematicians and was called ‘spiral mirabilis’ by Jacob Bernoulli I. In this article some properties of logarithmic spiral have been described along with the appearance as well as applications of the curve in art and nature.
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Brachiopod outline and the importance of the logarithmic spiral
Paleobiology, 1998Abstract To a first approximation, the logarithmic spiral is a close fit to the biconvex lateral outline of three terebratellid genera from Australasia. Investigation of spiral parameters confirms the value of the biconvex morphospace of McGhee (1980), but not the method for estimating the spiral itself.
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Approximating Logarithmic Spirals by Quarter Circles
2021The approximation of a golden logarithmic spiral by quarter circles is well known. Starting from this, we show that any logarithmic spiral can be approximated by quarter circles in a similar way. Using our construction on a rectangle with aspect ratio √휙 and performing a coordinate reparametrization, we obtain an aesthetic partition of the plane as our
Reitebuch, Ulrich (author) +2 more
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