|Abstract||Let AC be a ray coming from the medium DC into the medium CE, and let the density of the former to the latter be as d to e. It is asked, how should the ray ACB be directed so that it is the easiest path of all, or that (AC x d) + (CB x e) is a minimum. Let DC = l, and EC = m. It is given also that FG = f, and let AD = FC = x, CG = EB = f – x. Therefore, AC = √(l2 + x2) and CB = √(m2 + f2 +x2 – 2fx). 2 It will then be the case that d√(l2 + x2) + e√(m2 + f2 + x2 – 2fx is equal to a minimum. Therefore, through my method of tangents it is the case that: (2dx/(√(l2 +x2)(AC))) + ((2ex -2ef)/ (√(m2 +f2 +x2 +2fx)(BC))) = 0. That is, it will be the case that AC/BC = dx/e(f-x). Now if we suppose that AC and BC are equal, it will be the case that f – x is to x, as d to e. Therefore, if a circle, with its center at C, is described by the ray CA or CB, AD or “x,” – the sine of the angle of incidence – will be to BE or “f – x,” – the sine of the angle of refraction – as e, the density of the medium of refraction, will be to d, the density of the medium of incidence, that is, the sines of the angles will be in reciprocal relation to the mediums or densities.|
|Keywords||No keywords specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
John Dilworth (2003). Medium, Subject Matter and Representation. Southern Journal of Philosophy 41 (1):45-62.
Alastair I. Ward, Piran C. L. White, Neil J. Walker & Charles H. Critchley, Conifer Leader Browsing by Roe Deer in English Upland Forests : Effects of Deer Density and Understorey Vegetation.
Karl F. MacDorman (2004). Extending the Medium Hypothesis: The Dennett-Mangan Controversy and Beyond. Journal of Mind and Behavior 25 (3):237-257.
Robert W. Schrauf (2002). Bilingual Inner Speech as the Medium of Cross-Modular Retrieval in Autobiographical Memory. Behavioral and Brain Sciences 25 (6):698-699.
Lucio Lamberti & Giuliano Noci (2012). The Relationship Between CSR and Corporate Strategy in Medium-Sized Companies: Evidence From Italy. Business Ethics 21 (4):402-416.
Max Albert (2002). Resolving Neyman's Paradox. British Journal for the Philosophy of Science 53 (1):69-76.
Rachid Mchich, Amal Bergam & Nadia Raïssi (2005). Effects of Density Dependent Migrations on the Dynamics of a Predator Prey Model. Acta Biotheoretica 53 (4).
André Kukla (1994). Medium AI and Experimental Science. Philosophical Psychology 7 (4):493-5012.
Lars Witting (2000). Interference Competition Set Limits to the Fundamental Theorem of Natural Selection. Acta Biotheoretica 48 (2).
David Williamson, Gary Lynch-Wood & John Ramsay (2006). Drivers of Environmental Behaviour in Manufacturing SMEs and the Implications for CSR. Journal of Business Ethics 67 (3):317 - 330.
Lutz Preuss & Jack Perschke (2010). Slipstreaming the Larger Boats: Social Responsibility in Medium-Sized Businesses. Journal of Business Ethics 92 (4).
Craig A. Childress & Joy K. Asamen (1998). The Emerging Relationship of Psychology and the Internet: Proposed Guidelines for Conducting Internet Intervention Research. Ethics and Behavior 8 (1):19 – 35.
Added to index2010-12-22
Total downloads9 ( #114,063 of 549,087 )
Recent downloads (6 months)1 ( #63,317 of 549,087 )
How can I increase my downloads?