It's much easier to understand with examples and demonstrations like on this page. ![]() The reflection of light that the equations predict is known as Fresnel reflection. You can move the blue points, and select what is displayed, and what is hidden. So, we do a transformation to get the 1st image, then we apply a 2nd transformation to that image to arrive at the final shape. Description The Fresnel equations (or Fresnel conditions) describe the behaviour of light when moving between media of differing refractive indices. Use this sketch to play around with reflection. Samuel Chukwuemeka (Samdom For Peace) B.Eng., A.A.T, M.Ed., M. Overview A composition of tramsformations involves 2 or more transformations applied to one shape or point. To change the direction or magnitude of the translation, drag the arrow of the vector. If you are my student, please do not contact me here. To translate the triangle, first select the Translate tool (right click on reflection tool to see the drop down menu), then select the vector and the object to be translated. Please check back for the remaining ones later.Ĭomments, ideas, areas of improvement, questions, and constructive criticisms are welcome. The calculators should work.Īt the moment, only the calculators for the Translations, Reflections, and Rotations are completed. I wrote the codes for these calculators using Javascript, a client-side scripting language. ![]() Polygons (3 to 14 sides) Pythagorean Theorem. ![]() Then use the calculators to check your answers. Calculators covering formulas for standard 2D plane and 3D solid geometric shapes and trigonometric functions. You are encouraged to: solve the questions graphically (by construction) verify the solutions algebraically (by formulas) Third: solve the questions/solved examples.įourth: check your solutions with my thoroughly-explained solutions.įifth: check your answers with the calculators as applicable. A matrix with the same number of rows and columns, sometimes used to represent a linear transformation from a vector space to itself, such as reflection.
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