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Topic: Trapezium

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	Trapezium rule - Wikipedia, the free encyclopedia
		The trapezium rule works by approximating the region under the graph of the function f(x) by a trapezium and calculating its area.
		The trapezium rule is one of a family of formulas for numerical integration called Newton-Cotes formulas.
		Moreover, the trapezium rule tends to become extremely accurate when periodic functions are integrated over their periods, a fact best understood in connection with the Euler-Maclaurin summation formula.
	en.wikipedia.org /wiki/Trapezium_rule (214 words)

	Orion Trapezium Star Cluster (Site not responding. Last check: 2007-11-06)
		At the core of the Orion Nebula lies the Trapezium cluster, a small group of young OB stars responsible for the bulk of the excitation of the visible nebulosity (Figure 1).
		The Trapezium is the set of four optically visible stars at the core of the nebula.
		This 0th-order image of the Trapezium region (which is, of course, just a renormalization of the near-infrared image) has an extend of roughly 5.5 x 5.5 arcmin and thus does not entirely fill the 8 x 8 arcmin extend of the center CCD.
	space.mit.edu /ASC/science/orion/orion.html (808 words)

	Orion trapezium is a giant pullmotor with multiple poles (Site not responding. Last check: 2007-11-06)
		ORION NGC 1977 AND TRAPEZIUM, ARE A PULLMOTOR
		These trapezium images next, because of inherent dullness in the original photo, are best seen for brightness in a dark room, daylight striking your computer screen washes out the brightness.
		It is in fact a power pole of opposite authority to the trapezium, both together are a giant gravitation pullmotor with multiple poles which can be easily seen.
	www.cosmicastronomy.com /trapeze.htm (1767 words)

	Trapezium
		Trapezium is the first full-fledged child of PlayFest, the Orlando Festival of New Plays, which grew out of the play-development process the Shakespeare Festival has been shepherding for years.
		He has based Trapezium (the word means a four-sided figure) on the old English tale of Tristan and Iseult, the legendary lovers who are said to have lived around the time of King Arthur.
		Their story is that of a love triangle, but Trapezium turns it into a love quadrilateral, or maybe even a pentagon a love triangle with plenty of conniving from a fourth party and lots of carping from a fifth.
	www.shakespearefest.org /trapezium.htm (1753 words)

	TRAPEZIUM_DOWNLOAD.html
		In 1994 and 1995 O'dell and collaborators observed the Trapezium cluster with the Hubble Space Telescope's Wide-Field and Planetary Camera 2 (WFPC-2) and discovered a new class of objects -- young proto-stars enshrouded in their disk-like birth cocoons seen in silhouette against the back-light of the nebula (STScI-PRC95-45).
		The NICMOS Trapezium images reveal a population of about 50 young brown dwarfs, to the sensitivity limits of the data of about 10 Jupiters (assuming the average age of the cluster).
		The rich star-forming region of the Trapezium cluster in the Orion Nebula was imaged with the Near Infrared Camera and Multiobject Spectrometer (NICMOS) on January 12, 1998.
	nicmosis.as.arizona.edu:8000 /TRAPESIUM/TRAPEZIUM_DOWNLOAD.html (1193 words)

	building a parallelogram binocular mount
		The greatest advantage of a trapezium mount is that the object doesn't dissapear out of the field of view when the binocs are raised or lowered.
		To build the vertical parts of the trapezium, the 50 mm bars are glued and bolted exactly in the middle of the vertical bars, as illustrated in this photo.
		This is necessary for the trapezium to be able to move from lowest to highest position, without the horizontal bars toughing the 50 mm bars.
	home.wanadoo.nl /jhm.vangastel/Astronomy/binocs/binocs.htm (667 words)

	TRAPEZIUM - CD Mountain Artist (Site not responding. Last check: 2007-11-06)
		Trapezium is a group of four, bright, new stars in the Orion constellation.
		It is also the name taken by a group of four young women with a love of traditional fiddle, Celtic, and classical music.
		What makes Trapezium unique is that the members are not limited to one instrument and they all sing, play fiddle, keyboards, guitar, and mandolin.
	www.cdmountain.com /trapezium (97 words)

	Trapezium - Wikipedia, the free encyclopedia
		In human anatomy, trapezium is a bone in the hand
		In geometry, a trapezium is also a name for a class of quadrilaterals.
		The precise definition differs between American English and British English, as described in that article; see also trapezoid.
	en.wikipedia.org /wiki/Trapezium (134 words)

	The Trapezium, Theta Orionis
		The four brightest stars in the Trapezium (A, B, C and D) are easily visible in a four inch telescope with decent optical quality under good seeing conditions.
		The Trapezium was also drawn as a triple star by Giovanni Batista Hodierna before the year 1654, and Christen Huygens described it in 1656.
		The data were taken with the the infrared multi-mode ISAAC (Infrared Spectrometer And Array Camera) instrument on the VLT at the Paranal Observatory in Chile in December of 1999.
	www.astropix.com /HTML/B_WINTER/TRAPEZ.HTM (974 words)

	Chandra Press Room :: Chandra Observatory Uncovers Hot Stars In The Making :: November 9, 2000 (Site not responding. Last check: 2007-11-06)
		The Orion Trapezium Cluster is a younger subgroup of stars at the core of the ONC confined within a radius of about 1.5 light years.
		The constant bright light of the Trapezium and its surrounding stars at the heart of the Orion nebula (M42) are visible to the naked eye on clear nights.
		The five main young and massive Trapezium stars are responsible for the illumination of the entire Orion Nebula.
	chandra.harvard.edu /press/00_releases/press_110900.html (1253 words)

	More M42
		The Trapezium Cluster in the Orion Nebula M42, as photographed by David Malin with the Anglo-Australian Telescope.
		The bright region of the nebula around the Trapezium is called "Regio Huygheniana", which is sharply limited by the "Frons" toward the lower-surface-brightness "Regio Subnebulosa" in the southeast (lower left) which contains as its brightest star Theta2 Orionis (nearest to the "Frons"); Theta1 is the brightest Trapezium star.
		Infrared Observations of the Trapezium Cluster region in M42
	seds.lpl.arizona.edu /messier/more/m042_more.html (389 words)

	Trapezium rule
		The trapezium rule states that you can approximate the area under a curve by a trapezium, as shown in figure C.4.
		This forms a trapezium (shaded area) which can be used to calculate approximately the area under the curve between these bounds.
		The area of a trapezium is its average height × its width, i.e.
	www.pp.rhul.ac.uk /~george/PH2150/html/node62.html (120 words)

	Public Works of Art - Trapezium (Site not responding. Last check: 2007-11-06)
		"Trapezium," by Beverly Pepper, weighs 24,000 lbs., and stands 23' 8." It stands in the sculpture garden at the entrance of the Davenport Museum of Art.
		Her sculpture was then cast in ductile iron, an alloy produced by treating cast iron with additions of magnesium and inoculation with ferrosilicon.
		Her early sculptures were carved from several felled trees she found in her yard after moving to a new house.
	www.wiu.edu /users/miart/public_art/html/pepper.html (214 words)

	Norbert's Chandra Orion Page (Site not responding. Last check: 2007-11-06)
		The core of the Orion Trapezium cluster shows an unprecedented accumulation of star showing extreme temperatures, some are associated with externally illuminated protoplanetary disks.
		The bright light of the Trapezium and its sourrounding stars at the heart of the Orion Nebula (M42) is visible to the naked eye on clear nights and if one would have a glimpse at it once every night, it would work just the same.
		The five main Trapezium stars are very young and massive, and are reponsible for the illumination of the entire Orion Nebula.
	space.mit.edu /~nss/orion/orion.html (1507 words)

	HST Planetary Camera Photometry of the Trapezium Cluster (Site not responding. Last check: 2007-11-06)
		Herbig and Terndrup (1986 - ApJ 307 609) showed that the Trapezium cluster in Orion is by far the densest known star-forming region in the Galaxy (excluding the galactic center).
		We present the results from V and I images of 11 fields in the Trapezium cluster obtained with the Planetary Camera of the Hubble Space Telescope.
		The photometry has enabled the identification of Trapezium cluster members down to at least V $\sim$\ 22, roughly five magnitudes fainter than the best published ground based study.
	www.aas.org /publications/baas/v25n2/aas182/abshtml/S4902.html (283 words)

	Sensei's Library: Trapezium shape
		This is the British sense of the word trapezium where two sizes of a quadrilateral are parallel.
		If the marked stone were at a, the trapezium would become a bamboo joint, if it were at b, it would become a table shape, and if it were at c it would become a tippy table.
		Secondly, in this case the trapezium can be cut.Try to spot the weakness and verify at cutting the trapezium.
	senseis.xmp.net /?TrapeziumShape (165 words)

	Area of a Trapezium
		A trapezium is a quadrilateral that has only one pair of parallel sides.
		Now, piece together the triangular ends so that the trapezium is divided into a triangle and rectangle.
		The area of the trapezium is given by the following formula where a and b are the lengths of the parallel sides and h is the perpendicular distance between the parallel sides.
	www.mathsteacher.com.au /year8/ch12_area/04_trap/trap.htm (161 words)

	Trapezium (Site not responding. Last check: 2007-11-06)
		The above is a map of the lettered stars of the Trapezium, the light source for the Great Orion Nebula (Messier 42).
		Unlike most multiple stars, the Trapezium stars are not labeled in order of brightness.
		Stars G and HH (a double) are about 16th magnitude and can only be seen in the largest amateur telescopes, probably at least 16 inches or larger.
	www.stargazing.net /mas/trap.htm (165 words)

	The Great Orion nebula, Trapezium stars (Site not responding. Last check: 2007-11-06)
		The central 'star' of the three groups forming the asterism of Orion's sword is in reality a nebula, and is clearly nebulous to the unaided eye.
		These are the brightest members of a substantial cluster of stars, most of which are still hidden in the dusty recesses of the Orion nebula against which they are seen.
		The stars of the Trapezium provide much of the energy which makes the brilliant Orion Nebula visible and are at a distance of about 1500 light years.
	www.aao.gov.au /images/captions/aat029.html (174 words)

	Trapezium Images with AP 155 f9 StarFire EDT & Nikon Coolpix 950 consumer digicam
		Trapezium imaged with AP 155, Nikon CP950 (attached with ScopeTronix Digi-T), UO 18mm Ortho and 2.5X Powermate.
		Star A is a variable with Mag 6.8 to 7.7, B is Mag 7.9, C is Mag 5.1, D is Mag 6.7, E is Mag 11 and F is Mag 11.
		This diagram of the Trapezium correctly shows the orientation of the Trapezium stars as seen straight through a refractor (without star diagonal).
	www.integram.com /astro/Trapezium.html (260 words)

	Hubble Views the Trapezium Cluster in M42
		The core of the Trapezium showing the four energetic massive stars and a plethora of Sun-like stars with surrounding extended emission.
		The Trapezium is located in the center of the Orion nebula seen here as a blue background glow.
		The center of the Trapezium cluster showing the four massive energetic stars and a number of evaporating proto-planetary disks.
	seds.lpl.arizona.edu /messier/more/m042_hst3.html (449 words)

	Environmental Protection & Pollution Control The Taj Trapezium
		The entire waiting list for LPG connections in Taj Trapezium area has been cleared and connections are now offered across the counter.
		Given the importance of Taj as an international monument, the ULP facilities were first introduced on the Delhi-Agra highway failing in Taj Trapezium and also in the city of Agra.
		Since sulphur is highly corrosive, and therefore detrimental for the Taj Mahal, low sulphur HSD with a sulphur content of 0.5% was introduced in the Taj Trapezium area from 1.4.96.
	petroleum.nic.in /envtaj.htm (353 words)

	Untitled Document (Site not responding. Last check: 2007-11-06)
		Therefore the four Trapezium stars are of the same stellar class and judging from their smooth fairly featureless curves, I can guess that they are either B or O type stars.
		Below are intensity versus wavelength graphs of the trapezium stars and HR 3454 (a known B3-V type star) in the logarithmic scale.
		There are probably more particles between the Trapezium and Earth than between HR 3454 and Earth and therefore the spectra looks colder for the Trapezium due to the extra absorption by the intermediate particles.
	www.owlnet.rice.edu /~mmozena/Stars.htm (653 words)

	phot-03-01.html (Site not responding. Last check: 2007-11-06)
		Trapezium stars are seen near the centre and the photo also shows the associated cluster of about one thousand stars, about a million years old.
		Trapezium Cluster, and to provide a solid answer to the tantalising question of their origin.
		Trapezium Cluster was made using the near-infrared camera ISAAC on the ESO 8.2-m VLT ANTU telescope on December 20 - 21, 1999.
	www.eso.org /outreach/press-rel/pr-2001/phot-03-01.html (2244 words)

	Trapezium Stars
		The four common Trapezium stars are not in included in the GSC data, SAO data, USNO A2.0, UCAC, or the Hipparcos/Tycho-2 data.
		Here are the added stars as displayed by the Trapezium SDB file included with the latest update to TheSky CLICK HERE to get the most recent update to version 6.
		To explain the missing stars in the Trapezium let us first show the actual digitized image of the Great Nebula in Orion M42/NGC 1976 found on the POSS plates.
	www.bisque.com /Tom/Trapezium/trapezium.htm (1162 words)

	New Image Reveals Young Stars In Trapezium Cluster
		Your recent report on the spectacular ESO infrared image of the central region of the Orion Nebula implies that the cluster of 1000 stars imaged by infrared are within the Trapezium cluster.
		The new ESO images clearly show that the infrared cluster is located beyond the Trapezium region, within or behind the dust wall which renders that cluster invisible in optical wavelengths.
		The conclusion is that the Orion Nebula Complex is producing a 'double cluster' of stars, eventually similar in appearance to the famous double cluster NGC 869/NGC 884 in Perseus.
	unisci.com /stories/20011/0119015.htm (520 words)

	The Stars of the Trapezium (Site not responding. Last check: 2007-11-06)
		The Trapezium is located in the heart of the Great Nebula of Orion (M42).
		This image of the Trapezium six was taken with a SBIG ST-7 CCD camera attached to a Celestron C11 SCT telescope.
		The image is the sum of three 0.3 second exposrures and has been enlarged by 3x.
	www.laughton.com /paul/rfo/trap/trap.html (300 words)

	Doug Johnstone's Orion Page
		Figure 1: The core of the Trapezium showing the four energetic massive stars and a plethora of Sun-like stars with surrounding extended emission.
		Figure 5: The center of the Trapezium cluster showing the four massive energetic stars and a number of evaporating proto-planetary disks.
		Figure 6: The center of the Trapezium cluster showing the four massive energetic stars and a number of evaporating proto-planetary disks.
	oposite.stsci.edu /pubinfo/pr/1997/orion/orion.html (613 words)

	Numerical Methods Lecture Notes: integration
		Comparison of equations (47) and (49) show the only difference is in the phase relationship between the points used and the domain, plus how the first and last intervals are calculated.
		The approach is to cover the domain to be integrated with a triangle or trapezium (whichever is geometrically more appropriate) as is shown in figure 17.
		For each arc-like region so created (there are two in figure 17) the maximum deviation (indicated by arrows in figure 17) from the line should be measured, as should the length of the chord joining the points of crossing.
	www.damtp.cam.ac.uk /user/fdl/people/sd/lectures/nummeth98/integration.htm (1086 words)

	Montreal - Home - Trapezium
		Since it was first established in 1998, more than 4,000 visitors have come to Trapezium to try their hand at the art of the flying trapeze.
		What makes the Trapezium so unique is that it offers amateurs of all ages and skills the chance to learn the ins and outs of this exhilarating and unique sport.
		Each of Trapezium's trained professionals have at least fifteen years of experience under their belt and the centre uses the same safety equipment as the Cirque du Soleil, making this an extremely safe exercise.
	english.montrealplus.ca /portal/profile.do?&profileID=535615 (316 words)

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