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Vidéos : quadrance

WildTrig2: Quadrance via Pythagoras and Archimedes
	We show how the basic notion of rational trigonometry---quadrance---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. Tags : quadrance trigonometry rational triple quad formula Archimedes Pythagoras geometry
Affichage : 4298 Durée : 598 s

quadrance.mpg
	Quadrance debut! Malone's Santa Ana Saturday November 29th Jef and Adrian on Bass Mark on Guitar Tigran on Flute Lori Voice DC Drums Tags : rock experimental atmospheric improvised
Affichage : 0 Durée : 401 s

WildTrig12: Cartesian coordinates and geometry
	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. Tags : Cartesian coordinates points lines parallel perpendicular quadrance spread Descartes Fermat
Affichage : 2691 Durée : 559 s

WildTrig4: Five main laws of rational trigonometry
	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. Tags : rational trigonometry Pythagoras' theorem mathematics Triple quad formula spread law cross quadrance
Affichage : 2728 Durée : 588 s

WildTrig5: Applications of rational trigonometry
	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. Tags : Rational trigonometry quadrance spread applications flagpole ladder kite distance line
Affichage : 4193 Durée : 568 s

WildTrig15: Complex numbers and rotations
	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. Tags : Complex numbers rational trigonometry quadrance dilations rotations mathematics similarity
Affichage : 3489 Durée : 617 s

WildTrig6: Heron's formula viewed rationally
	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. Tags : Heron's formula Archimedes rational trigonometry quadrance
Affichage : 1855 Durée : 516 s

WildTrig16: Rational Trigonometry Quiz 1
	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. Tags : Rational Trigonometry quiz mathematics wildberger circles quadrance spread
Affichage : 508 Durée : 439 s

WildTrig3: Spread, angles and astronomy
	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. Tags : rational trigonometry angle spread quadrance mathematics dodecahedron tetrahedron
Affichage : 3540 Durée : 560 s

WildTrig21: Trigonometry with Finite Fields (III)
	This video discusses lines in Euclidean geometry over finite fields, and shows why the Spread and Cross laws hold. The circumcenter and circumcircle of an example triangle are found over F_7. Tags : rational trigonometry finite fields quadrance lines spread circumcircle geometry
Affichage : 224 Durée : 600 s

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