Quadrance video compilations

Get paid on 100% of your website traffic, no clicks necessary! How is this possible? CLICK HERE WildTrig2: Quadrance via Pythagoras and Archimedes Posted by: njwildberger Video duration: 598 seconds Global video hits: 3019 We show how the basic notion of rational trigonometry---quadr ance---arises from the geometry of the ancient Greeks. The little-known sister theorem to Pythagoras features prominently, and is closely related to a theorem of Archimedes. Related: archimedes, formula, geometry, pythagoras, quad, quadrance, rational, trigonometry, triple WildTrig4: Five main laws of rational trigonometry Posted by: njwildberger Video duration: 588 seconds Global video hits: 2029 We derive from first principles the main laws of rational trigonometry, using the concepts of quadrance and spread to replace the usual distance and angle. Most everything works out much simpler. Related: cross, formula, law, mathematics, pythagoras, quad, quadrance, rational, spread, theorem, trigonometry, triple WildTrig12: Cartesian coordinates and geometry Posted by: njwildberger Video duration: 559 seconds Global video hits: 1451 Cartesian coordinates allow us to talk precisely about points and lines, parallel and perpendicular, and quadrance and spread---the two main concepts from rational trigonometry. Related: cartesian, coordinates, descartes, fermat, lines, parallel, perpendicular, points, quadrance, spread WildTrig20: Trigonometry with Finite Fields (II) Posted by: njwildberger Video duration: 602 seconds Global video hits: 151 This video explains more about arithmetic in a finite field, shows how to visualize points in a finite plane, and how to compute quadrance and spread. Examples are taken from the field with seven elements. Related: arithmetic, fermats, fields, finite, mathematics, quadrance, rational, spread, theorem, trigonometry WildTrig5: Applications of rational trigonometry Posted by: njwildberger Video duration: 568 seconds Global video hits: 3201 Rational trigonometry is applied to solve four examples of practical problems, concerning a flagpole, a ladder, a kite and the distance from a point to a line. Related: applications, distance, flagpole, kite, ladder, line, quadrance, rational, spread, trigonometry WildTrig3: Spread, angles and astronomy Posted by: njwildberger Video duration: 560 seconds Global video hits: 2707 Angles have their origin in astronomy and spherical trigonometry. Here we introduce the rational alternative, called spread, and give examples from ISO paper sizes to the faces of a dodecahedron. Related: angle, dodecahedron, mathematics, quadrance, rational, spread, tetrahedron, trigonometry WildTrig15: Complex numbers and rotations Posted by: njwildberger Video duration: 617 seconds Global video hits: 1789 Complex numbers are here explained using geometry and their intimate connection with dilations and rotations. Pure rotations are related to the parametrization of the unit circle. Related: complex, dilations, mathematics, numbers, quadrance, rational, rotations, similarity, trigonometry WildTrig7: Solving triangles with rational trigonometry Posted by: njwildberger Video duration: 392 seconds Global video hits: 1956 Shows how to solve triangles using the framework of rational trigonometry with quadrances and spreads replacing distance and angle. Related: quadrance, rational, solving, spread, triangles, trigonometry WildTrig6: Heron's formula viewed rationally Posted by: njwildberger Video duration: 516 seconds Global video hits: 1256 Heron's formula, originally due to Archimedes, is here recast in a simpler and more natural form. And we prove it, using one of the basic laws of rational trigonometry. Related: archimedes, formula, herons, quadrance, rational, trigonometry WildTrig16: Rational Trigonometry Quiz 1 Posted by: njwildberger Video duration: 439 seconds Global video hits: 324 This is a quiz on Rational Trigonometry, with seven interesting and challenging questions. You can also try to solve them using classical trigonometry---but remember: only correct answers are allowed. Related: circles, mathematics, quadrance, quiz, rational, spread, trigonometry, wildberger   Search for a video theme of your choice. You like it? Share it!

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