
	Where results make sense

Topic: Power of a point theorem

Related Topics

melting point

boiling point

neutral point of view

West Point

floating point

point of view

Lagrangian point

fixed point

West Point, New York

Point to Point Protocol

critical point

fixed point mathematics

In the News (Sat 28 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Law of cosines - Wikipedia, the free encyclopedia
		is the power of the point B with respect to the circle.
		The use of the Pythagorean theorem and the tangent secant theorem can be replaced by a single application of the power of a point theorem.
		This proof uses the power of a point theorem directly, without the auxiliary triangles obtained by constructing a tangent or a chord.
	en.wikipedia.org /wiki/Law_of_cosines (1769 words)

	Power of a Point Theorem
		In all the cases, the theorem holds and is known as the Power of a Point Theorem.
		The poser of a point inside the circle is negative, whereas that of a point outside the circle is positive.
		The theorem is reversible: Assume points A, B, C, and D are not collinear.
	www.cut-the-knot.org /pythagoras/PPower.shtml (357 words)

	Power Point Backgrounds -- Recommendations and Resources (Site not responding. Last check: 2007-10-11)
		The power of a point P with respect to the circle with center C and radius r is
		Therefore points inside the circle have negative power, points outside have positive power, and points on the circle have power zero.
		http://www.cut-the-knot.org/pythagoras/PPower.shtml Power of a Point Theorem Category:Euclidean geometry
	www.becomingapediatrician.com /health/119/power-point-backgrounds.html (612 words)

	Maximum Power Transfer Theorem - Microwave Encyclopedia - Microwaves101.com
		The importance of matching a load to a source for maximum power transfer is extremely important in microwaves, as well as all manner of lower frequency stuff such as stereo sound systems, electrical generating plants, solar cells and hybrid electric cars.
		Regarding power amplifier efficiency, varying the slope of the load line in Class A does not have such a predictable effect on efficiency.
		For amplifiers in or near compression power and efficiency are complex functions of many factors including the outermost excursions of the dynamic loadline near the pinch-off area and near the Imax boundary.
	www.microwaves101.com /encyclopedia/maxpower.cfm (824 words)

	Constant Perimeter and Area Rectangles
		The length and width of the accompanying rectangle are constructed to be equal to AP and PB.
		Segment BD is an altitude of the triangle.
		When moving point B, notice that the dimensions of the accompanying rectangle adjust themselves to remain equal to AD and DC.
	homepage.mac.com /dscher/constarea.html (452 words)

	The Butterfly Theorem
		Another generalization of the theorem was pointed out to me by Qiu FaWen, a Chinese teacher who discovered the result with his students in 1997.
		The basic point of departure is the observation that, if in two triangles an angle of one is equal to an angle of the other, then the areas of the triangles are in the same ratio as the products of the sides composing the equal angles.
		AX·DX / CY·BY = MX By the power of a point theorem,
	www.cut-the-knot.org /pythagoras/Butterfly.shtml (2297 words)

	Chord (geometry) - Wikipedia, the free encyclopedia
		Chords are equidistant from the center if and only if their lengths are equal.
		If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).
		The chord of an angle is the length of the chord between two points on a unit circle separated by that angle.
	en.wikipedia.org /wiki/Chord_(geometry) (357 words)

	The Atiyah-Bott fixed point theorem (Site not responding. Last check: 2007-10-11)
		In the Sixties Atiyah and Bott proved a far-reaching generalization of the Lefschetz fixed point theorem ([42], [44]).
		Specializing the Atiyah-Bott fixed point theorem to the de Rham complex, one recovers the classical Lefschetz fixed point theorem.
		When applied to other geometrically interesting elliptic complexes, Atiyah and Bott obtained new fixed point theorems, such as a holomorphic Lefschetz fixed point theorem in the complex analytic case and a signature formula in the Riemannian case.
	www.math.harvard.edu /history/bott/bottbio/node18.html (366 words)

	Power Line: February 2005 Archives
		A case in point: Mark Steyn argued in a Daily Telegraph column a few days ago on the future of Europe that the the idea of "the West" is dead.
		Your point about Sharon and Peres is perhaps well-taken, but using Chamberlain and Britain to reinforce your position is not.
		The Frenchman seems quite impressed with how much "soft power" the EU (and, by extension, France) has compared to the U.S. Joe asked just the right questions, to the dismay of the head of the French department, the legendary John Rassias.
	powerlineblog.com /archives/2005_02.php (12077 words)

	Thevenin and Norton Theorems
		Thevenin theorem will help solve this problem as it offers a solution that is independent of R(L).
		One of the important advantages of the probe option is that a specific variable can be plotted or a quantity determined by a mathematical operation.
		In this case, we request to plot V(3)V(3)/R to find out for what value or RLOAD the max power* is transferrd.
	www.uow.edu.au /pwrsysed/project/samp_w4.htm (330 words)

	Citebase - A Weak Power-Counting Theorem for the Renormalization of the Non-Linear Sigma Model in Four Dimensions (Site not responding. Last check: 2007-10-11)
		A Weak Power-Counting Theorem for the Renormalization of the Non-Linear Sigma Model in Four Dimensions
		The formulation of the non-linear sigma model in terms of flat connection allows the construction of a perturbative solution of a local functional equation encoding the underlying gauge symmetry.
		We prove the validity of a weak power-counting theorem in the following form: although the number of divergent amplitudes is infinite only a finite number of divergent amplitudes have to be renormalized.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/0506220 (519 words)

	Intelligent Design (Site not responding. Last check: 2007-10-11)
		A theorem that doesn’t apply to these situations is a theorem whose relevance to biology is unclear.
		Neither of these claims is true but it doesn't matter at this point because they are so widely believed that we must still ask whether ID should be taught in our biology classrooms.
		They do not want children to think that a divine power might be behind the Big Bang or evolution of species because that opens the possibility that God might not exist.
	skepdic.com /intelligentdesign.html (7032 words)

	[No title]
		Bidder wants to stick to one color, and values each item of that color at 1.
		Theorem: The monochromatic valuation with n items requires exponential size OR-of-XOR bids.¡vi \ /2"1ª Æ ó¨OR* Bidding Language¡ ª ¨ñAllow each bidder to introduce phantom items, and incorporate them in an OR bid.
		Theorem: The monochromatic valuation with n items requires exponential size OR-of-XOR bids.¡vi \ /2"1ª Æ ó¨)OR* Bidding Language (Fujishima et al)¡0* ª ¨ñAllow each bidder to introduce phantom items, and incorporate them in an OR bid.
	www.cs.huji.ac.il /~noam/auctions.ppt (619 words)

	High School Problems Archive (Site not responding. Last check: 2007-10-11)
		Consider a straight line from the balloon to the horizon.
		Letting the length of the tangent be x, we can apply the power of a point theorem to find that
		Submitted by Richard Rusczyk, cocreator of the Mandelbrot Competition and coauthor of The Art of Problem Solving, volumes 1 and 2.
	www.nctm.org /high/asolutions.asp?ID=346 (106 words)

	Proof of Pascal's Theorem via Menelaus
		Now we multiply the three equalities and cancel out everything we can.
		, by the Power of Point Theorem applied consecutively to points
		which again by Menelaus (the reverse direction of the theorem) implies that points
	mathcircle.berkeley.edu /BAMA/BAMA99/node4.html (36 words)

	ZPEnergy.com (Site not responding. Last check: 2007-10-11)
		"Ere many generations pass, our machinery will be driven by a power obtainable at any point in the universe...
		Magnetic Power Inc. (MPI) is harnessing the organized motion of subatomic particles, which are responsible for the force of magnetism.
		Magnets create their attractive and repulsive forces due to the constant circulatory orbit of electrons within certain elements which are ferromagnetic (including iron, cobalt, nickel, and gadolinium).
	www.zpenergy.com /modules.php?name=News&file=article&sid=1609 (1584 words)

	Cathie Frank Math Website
		(SF1) Chapter 12b Translations, Rotations, and Pythagorean Theorem (Power Point)
		(SF1) Chapter 13 Graphing Linear Inequalities (Power Point)
		After opening a power point presentation, click on the toolbar tab labeled "Slide Show".
	www.lmsvsd.k12.ca.us /schools/lmm/panthers/cfrank/tutorial.htm (135 words)

	Power Point Slides for FREC 408
		Probability with Tables, Odds and Odds Ratios - Dr Ilvento's Power Points
		Binomial random variables, a special group of discrete random variables
		Sampling distribution of the mean; introducing the standard error; Central Limit Theorem; rare event approach to hypothesis test; intro to confidence interval
	www.udel.edu /FREC/ilvento/FREC408/Powerpt.html (323 words)

	Greg Kelly
		2.1 Day 1 Rates of Change and Limits, Sandwich Theorem
		2.1 Day 2 Step Functions; Sandwich Theorem for sin (x) / x
		7.5 Extra Centers of Mass and Theorems of Pappus
	online.math.uh.edu /HoustonACT (122 words)

Try your search on: Qwika (all wikis)