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Topic: Circle with a point at its centre

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	Circle
		In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, called the centre.
		A segment of a circle bound by two radii is called an arc, and the ratio between the length of an arc and the radius defines the angle between the two radii in radians.
		The 3-dimensional analog of the circle is the sphere.
	www.ebroadcast.com.au /lookup/encyclopedia/ci/Circle.html (615 words)

	Math Forum - Ask Dr. Math
		Pi is the ratio of the circumference of a circle to its diameter.
		So you could define a circle this way: It's made up of all the points that are the same distance from the centre point.
		If you draw a point on a piece of paper (the centre point) and then use your ruler to draw other points (whichever ones you like) that are exactly 3 centimetres from the centre point, you'll find that you start to get a circle once you've drawn lots of these points.
	mathforum.org /library/drmath/view/57795.html (605 words)

	A Point Within A Circle
		The circle having neither beginning nor end, is a symbol of the Deity and of eternityand it follows that the compasses have been valued as being a means by which that perfect figure may be drawn.
		The virtues of the circle were also attributed to the ring, the bracelet, the ankle and the necklace which have been worn from earlier times, not only as ornaments but as a means of protecting the wearer from evil influences.
		The completed emblem - the point within the circle - has been borrowed, consciously or otherwise from some of the earliest of the pagan rites, in which it represented the male and female principles and came in time to be the symbol of the sun and the universe.
	www.phoenixmasonry.org /a_point_within_a_circle.htm (540 words)

	Solar symbol - Wikipedia, the free encyclopedia
		A simple circle or circular disk can be a solar symbol, as in the flag of Japan, the flag of Bangladesh, and the Australian aboriginal flag, or in three-dimensional form as part of the Trundholm sun chariot (though obviously a circle can have many other possible meanings).
		The "sun cross" or "solar wheel" is often considered to represent the four seasons and the tropical year, and therefore the sun (though as an astronomical symbol it means "earth").
		It's also widely found on Asturian traditional art and ancient architecture as decorative motif [2] [3] [4].
	en.wikipedia.org /wiki/Solar_symbol (642 words)

	The Sun
		K when its visible surface (the photosphere) has a temperature of just 6,000 K. The Sun is classified as a main sequence star, which means it is in a state of "hydrostatic balance", neither contracting nor expanding, and is generating its energy through nuclear fusion of hydrogen nuclei into helium.
		Its current age is thought to be about 4.5 billion years, a figure which is determined using computer models of stellar evolution, and nucleocosmochronology.
		The astronomical symbol for the Sun is a circle with a point at its centre.
	www.geocities.com /CapeCanaveral/Launchpad/8574/sun.html (1900 words)

	Hackpen Hill 1999 by Bert Janssen
		From the very moment of its appearance everyone seemed to be caught by its pattern: a pattern that seemed to be consisting mainly of overlapping and/or touching spirals.
		The fifth circle (that belongs to the four circles of the blue set) has its centre point on the intersection that's been indicated by the right arrow.
		The circle touches the inner circle of the hexagon, as indicated by the left arrow.
	www.cropcircleconnector.com /Bert/bert98f.html (634 words)

	Vitruvius Ten Books
		The roads should be encompassed at steep points, and planned so as to approach the gates, not in a straight line, but from the right to the left; for as a result of this, the right hand side of the assailants, unprotected by their shields, will be next the wall.
		From these two points describe with your compasses intersecting arcs, and through their intersection and the centre let a line be drawn to the circumference of the circle to give us the quarters of south and north.
		Let A be the centre of a plane surface, and B the point to which the shadow of the gnomon reaches in the morning.
	www.lih.gre.ac.uk /histhe/vitruvius.htm (7485 words)

	Circle
		The invention of the wheel is a fundamental discovery of properties of a circle.
		The pedal of a circle is a cardioid if the pedal point is taken on the circumference and is a limacon if the pedal point is not on the circumference.
		The caustic of a circle with radiant point on the circumference is a cardioid, while if the rays are parallel then the caustic is a nephroid.
	www-groups.dcs.st-and.ac.uk /~history/Curves/Circle.html (309 words)

	¤ c i r c l e m a k e r s ¤
		Siegried points out that the corn rows are seeded a good three inches apart, and the ground is dry enough not to leave an imprint.
		It's the morning of the crude fake which broke on breakfast TV news, Andrews and Delgado leaping around in front of the cameras, congratulating themselves on having captured a genuine phenomenon, only to find a mess of broken stems with a ouija board in the centre.
		The main point was to establish to our own satisfaction that a man-made circle was relatively easy to accomplish - and, since we all need very little excuse to spend a warm summer night out in the country, to have an interesting evening into the bargain.
	www.circlemakers.org /vortex.html (1244 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-11-03)
		To pick a random point inside the square, we need to know where the square is. Since the unit circle is centered at the origin and has radius one, the square it is inscribed in has edges at x = +1, 1 and y = +-1.
		The unit circle is the set of points that are exactly 1 unit away from the origin.
		The ratio of area occupied by circle to area occupied by square is still pi/4, because each of the fourth quarters of the circle-square combination is completely identical except for being rotated 90 degrees with respect to its neighbors.
	mathforum.org /library/drmath/view/51909.html (1207 words)

	The Circle
		A circle is a set of points that are at the same distance from a fixed point called the centre of the circle.
		The radius, r, of a circle is the distance from its centre to a point on the edge of the circle.
		The diameter, d, of a circle is the distance across the circle through its centre.
	www.mathsteacher.com.au /year8/ch11_perimeter/05_circle/circle.htm (149 words)

	Pnmctrfilt: Centre filter for portable pixmaps
		A centre filter has many advantages: not only does it automatically correct for full-frame images but, since it's fixed to the front of the lens, it also compensates for the off-centre vignetting which occurs when camera movements are employed for perspective or plane of focus adjustment.
		Many centre filters require a 1.5 or 2 f-stop filter factor adjustment, which may, in turn, necessitate a shutter speed so slow (since wide angle lenses, even with centre filters, are best used at apertures of f/16 or smaller) that hand-holding the camera is impossible and motion blur becomes a problem when photographing moving objects.
		Many centre filters require a 1.5 or 2 f-stop filter factor adjustment, which may, in turn, necessitate a shutter speed so slow (since wide angle lenses, even with centre filters, are best used at very small apertures) that hand-holding the camera is impossible and motion blur becomes a problem when photographing moving objects.
	www.fourmilab.ch /netpbm/pnmctrfilt (3363 words)

	The Ultimate Sun - American History Information Guide and Reference (Site not responding. Last check: 2007-11-03)
		The primary stellar body around which an object orbits is called its "sun", and stars in a multiple star system are referred to as the "suns" of bodies in that system.
		The astronomical symbol for the Sun is a circle with a point at its centre (
		The Sun's radius is measured from centre to the edges of the photosphere.
	www.historymania.com /american_history/Sun (1098 words)

	Squaring A Circle
		To do this you draw one circle one whose centre is at the end of the diameter line and another circle whose centre is at the middle point of the diameter which you've just obtained.
		Now draw another circle with the diameter of 2's' whose centre is allocated on the tip of the blue line and then elongate the blue line further using our straight edge, it doesn't matter how far you elongate the blue line as long as it touches the outline of the circle we just drew:
		And the area of this square is precisely the area of our original circle, since we created the sides out of the radii of another circle that had the diameter of 2's' i.e.
	www.physlib.com /squaring_circle.html (1291 words)

	DeepFUN \| More Pointless Games
		Sit everyone in a circle and place a tray in the middle with a hat, scarf, gloves, knife and fork, dice and a wrapper bar of chocolate.
		The middle person will point to an individual and the person pointed to along with the persons on each side will have to form what was called out.
		If you are pointed at, you become a Viking (horns and all) and the person on the right has to start paddling to the right and the person on the left has to start paddling on the left.
	www.deepfun.com /pointless2.html (2581 words)

	Tangents From an External Point
		In the figure on the right, P is a point outside the circle, with centre O, PA and PB are two tangents drawn from P to touch the circle at A and B respectively.
		c) the line joining the external point to the centre of the circle bisects the angle between the tangents.
		In the figure, AB is a tangent to the circle, with centre O.
	library.thinkquest.org /C0110248/geometry/circlete.htm (112 words)

	Literature Circles
		Each member of a circle is assigned a role which helps guide the group in a discussion of the title they are all reading.
		Literature Circles provide an opportunity for students to control their own learning; to share thoughts, concerns and their understanding of the events of the novel.
		The Literature Circles Resource Center is designed to support teachers as they plan and use literature circles in their elementary and middle school classrooms.
	www.cdli.ca /CITE/lang_lit_circles.htm (877 words)

	Chords And Perpendicular Bisectors (Site not responding. Last check: 2007-11-03)
		It's important that the points NOT be parallel.
		The mid-points are your x1 and y1 values; the slope of the perpendicular bisector is the negative reciprocal of the chord it bisects.
		The intersection of the 2 lines N and M (perpendicular bisectors), occurs at point A, which IS the centre of the circle.
	www.cbv.ns.ca /mathhelp/circle99.htm (441 words)

	Somewhat Stretchy : Raglan sleeve
		It's also easier to draft and sew than an in-set sleeve because the curves on both sides of the sleeve/torso seam match.
		Plot a line from the centre of the circle (C) to the projected width point (P).
		Fold the sleeve along the arm's centre line, and cut a smooth curve from and parallel to the cut edge of the shoulder piece to Z, parallel to the arm's centre fold (shown in red).
	www.stretchy.org /catsuit/sleeve/raglan.html (987 words)

	Discworld geography - Wikipedia, the free encyclopedia
		The Circle Sea is analogous to the Mediterranean, in that it is bordered both by countries on the Sto Plains (Europe) and continent of Klatch (Middle East, North Africa).
		Its principal trading ports are Ankh-Morpork, on the Sto Plains coast, and Al Khali and Ephebe on the Rimwards side.
		Its ruler is known as a Pash (Lu-Tze, the History Monk, once had to make sure one of them choked on a fishbone).
	en.wikipedia.org /wiki/Circle_Sea (3512 words)

	Heart Doctrine excerpts
		The zero point centres are inherently “living” and “self-illuminating,” and the heart is the Sun of the body.
		The zero point divine spark is the quantum self, a point source of divine light and life, and of spiritual consciousness, within the human being.
		Understanding the conjunction of the zero points within the heart space is a key to unlocking the mystical origins of consciousness and self, as well as that of life and the universe.
	www.zeropoint.ca /Heart_Doctrineexcerpts.htm (7938 words)

	Encyclopedia (Site not responding. Last check: 2007-11-03)
		A G2 star is on the main sequence, and has a lifetime of about 10 billion years (10 Ga), and the Sun formed about 5 Ga (5 billion years) ago, as determined by nucleocosmochronology and computer models of stellar evolution.
		Tidal effects from the planets do not significantly affect the shape of the Sun, although the Sun itself orbits the barycenter of the solar system, which is offset from the center of the Sun mostly because of the large mass of Jupiter.
		tons of TNT per second) which makes its way through the other layers of the Sun to escape in the form of electromagnetic radiation (sunshine) and neutrinos (and to a smaller extent as the kinetic and thermal energy of solar wind plasma and as the energy in the Sun's magnetic field).
	simple.seowaste.com /Sun (2266 words)

	Ron Lebar. Geometry, trigonometry & planar mathematics.
		A chord is a line drawn between the points on a circle's circumference where two radii meet it.
		A unit circle, a and a2 are sines of the angles at A.
		In trigonometric terms it is the chord of the 90 degree angle A. The upper half a divided by the radius c is the sine of the upper 45 degree angle A1.
	www.ronlebar.com /geometry.htm (2394 words)

	BACK TO BASICS The internal geometry of crop circles by Bert Janssen
		It's the same circle as those three constructed on the corners.
		These points are merely one of many indicators that show us that the crop circle formations are formed via an extremely precise geometric pattern.
		Perhaps the fact that the construction points are never in the standing crop is done on purpose to show us we're on the right track with this form of geometric analysis.
	cropcircleconnector.com /Bert/bert98e.html (1160 words)

	THE SUN AND OUR SOLAR SYSTEM \| SOLAR COLA
		Its mass is more than 300,000 times that of the Earth.
		This is suggested by a high abundance of heavy elements such as iron, gold and uranium in the solar system: the most plausible ways that these elements could be produced are by endothermic nuclear reactions during a supernova or by transmutation via neutron absorption inside a massive first generation star.
		Instead, in 4-5 billion years it will enter its red giant phase, its outer layers expanding as the hydrogen fuel in the core is consumed and the core contracts and heats up.
	www.solarnavigator.net /the_sun.htm (4362 words)

	Wicca 201 -- Talking Circle
		In many cultures, a Talking Circle is formed when a community wants to discuss an issue, or a number of issues, at a public gathering.
		The participants form a circle, usually in the centre of a room, or around a fire.
		At the end of each Circle, all members of the Circle stand in a circle, and all are invited to make comments to the group.
	www.stonedragonpress.com /wicca_201/how_do_i_use_it_b.html (580 words)

	[No title] (Site not responding. Last check: 2007-11-03)
		A point, consisting of an x-coordinate and a y-coordinate.
		A circle, consisting of a point, marking its centre, and a radius.
		For each previously-input circle: { If it overlaps with the current circle, then set the appropriate member of freqForbidden to 1 (i.e., the member corresponding to the previous circle’s frequency), to record the fact that this frequency is now forbidden to the current circle.
	www.csse.monash.edu.au /courseware/cse1301/pracs/prac08.doc (780 words)

	URBAN CIRCLE TRAINING CENTRE INC.
		Currently in it’s thirteenth year of operation, Urban Circle has developed expertise in pre-employment training for Aboriginal women and men on social assistance.
		Urban Circle strives for open communication among the workplace host, the student and Urban Circle staff to ensure that the expectations of all parties involved are met.
		Urban Circle students are covered by Workers Compensation for the duration of their training, including the job placement portion.
	www.webspawner.com /users/urbancircle (1047 words)

	Objects First: Laboratory 2 (Site not responding. Last check: 2007-11-03)
		Thus the ratio of the circle's area to that of the enclosing square is pi:4.
		Add to the Circle class a method which tells us whether a Point is contained within a circle or not.
		Construct a point which is to be the centre of your circle.
	www.oopweb.com /CPP/Documents/ObjectsFirst/Volume/circle_spec.htm (435 words)

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