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Page "Inversive geometry" ¶ 26
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Then and distance
Then the pixies and the zombies took over while the banshees wailed in the distance.
Then each point p of the line can be specified by its distance from O, taken with a + or − sign depending on which half-line contains p.
Then high MSE means the average distance of the arrows from the bull's-eye is high, and low MSE means the average distance from the bull's-eye is low.
Let the line of symmetry intersect the parabola at point Q, and denote the focus as point F and its distance from point Q as f. Let the perpendicular to the line of symmetry, through the focus, intersect the parabola at a point T. Then ( 1 ) the distance from F to T is 2f, and ( 2 ) a tangent to the parabola at point T intersects the line of symmetry at a 45 ° angle.
Then, when similar diagram is plotted for a cluster whose distance is not known, the position of the main sequence can be compared to that of the first cluster and the distance estimated.
Then he detected said waves " with another similar circuit some distance away ".
Those songs that went the distance on other charts, but not Billboard ( although all were top five hits on the Billboard chart ), are " Here We Are " and " Then Again " ( 1991 ); " Born Country " and " Take a Little Trip " ( 1992 ); " Once Upon a Lifetime " ( 1993 ); " Give Me One More Shot ," " She Ain't Your Ordinary Girl " and " In Pictures " ( 1995 ); " Sad Lookin ' Moon " ( 1997 ); and " How Do You Fall in Love " ( 1998 ).
Then the Mormons built the almost thirty mile " BIG DITCH " to travel the approximately 6 miles, as the bird flies, distance to the top of round valley above " Eagar.
Then, as now, Modern Orthodoxy took pains to distance its " reforms ", which were consistent with the Shulkhan Arukh and poskim, from those of the Reform movement ( and the Conservative movement ), which were not.
Then, Watanabe was taken the distance for the first time, against Jin-Hyun Chun in Nagoya, Watanabe winning a six round decision.
Then the Korean ships engaged in a free-for-all battle with the Japanese ships, maintaining enough distance to prevent the Japanese from boarding ; Admiral Yi permitted melee combats only against severely damaged Japanese ships.
Then came 4, 000 peltasts, Pisidians, Pamphylians and Lydians, next to these Cyrtian and Elymaean troops equal in number to those on the right wing, and finally sixteen elephants a short distance away.
Then the reindeer break up the ice behind the MAD Jet, sending him drifting into the distance.
Then the bell-tower was built a good distance away, so that parishioners would not be burnt in case of a fire.
Then, given a test sample, one computes the Mahalanobis distance to each class, and classifies the test point as belonging to that class for which the Mahalanobis distance is minimal.
Call the point closer to the perpendicular B, and the farther point C. Draw the line m connecting P to C. Then the distance from B to m is smaller than the distance from P to l, contradicting the original definition of P and l. One way to see this is to notice that the right triangle with hypotenuse BC is similar to and contained in the right triangle with hypotenuse PC.
Then the minimum distance of the code is defined as
Then, rather than perish in the impenetrable country of the cascades, Stanley took a wide detour overland to come within striking distance of the Portuguese trading station at Boma on the Congo estuary.
Then, a straight tunnel of length A and constant width W can be approximated as a sequence of N evenly spaced goals, each separated from its neighbours by a distance of A / N.

Then and usually
Then, about halfway through, or sometimes even during the final act, one of the suspects usually dies, often because they have inadvertently deduced the killer's identity and need silencing.
) There are also numerous instances where the killer is not brought to justice in the legal sense but instead dies ( death usually being presented as a more ' sympathetic ' outcome ), for example Death Comes as the End, And Then There Were None, Death on the Nile, Dumb Witness, The Murder of Roger Ackroyd, Crooked House, Appointment with Death, The Hollow, Nemesis, Cat Among the Pigeons, and The Secret Adversary.
Then, the leaving group, usually a proton, is split off and the aromaticity is restored.
Then there is the villain, who is the epitome of evil, either by his ( usually a man ) own fall from grace, or by some implicit malevolence.
In the early ballads Robin's men usually kneel before him in strict obedience: in A Gest of Robyn Hode the king even observes that " His men are more at his byddynge / Then my men be at myn.
Then, the shunt is placed into it with the other end draining cerebrospinal fluid ( CSF ) into a cavity, usually the abdomen.
Then the magnitude or ( usually ) squared-magnitude components of the transforms are summed into an average transform.
Then priests and other ecclesiastical dignities adopted coats of arms, usually to be used as seals and other such insignia, and then towns and cities to likewise seal and authenticate documents.
Then a blind is constructed, usually from the bait where the hunting party can remain concealed, usually from early evening until early morning the next day.
Then one of all together eight Berlin Wall crossings was opened on the eastern side of the gate, usually not open for East Berliners and East Germans, who from then on needed a hard-to-obtain exit visa.
Then followed the " seasoning " which usually lasted 12 months or so.
Then it is usually dropped by spoonsful onto wax paper or a sheet of aluminum foil greased with butter, and left to cool.
Then the gold may be cast into some item, usually with the lost wax casting process, or it may be used to fabricate the work directly in metal.
Then, after she takes on the Parliament Robe of State and Imperial State Crown in the Robing Chamber, the Queen proceeds through the Royal Gallery to the House of Lords, usually accompanied by the Duke of Edinburgh and immediately preceded by the Lord Great Chamberlain and the Earl Marshal, and by one peer ( usually the Leader of the House of Lords ) carrying the Cap of Maintenance on a white rod, and another peer ( generally a retired senior military officer ) carrying the Great Sword of State.
Then, the secondary causes ( usually 5 – 10 percent of suspected ITP cases ) should be excluded.
Then the wives went off-stage as the husbands were asked four 10-point questions and a 35-point bonus question, which usually decided the game.
Then although the lists are seldom closed, certain categories of abusive conduct are usually prohibited under the country's legislation.
Then, if we have an address, the system provides an operation to retrieve the value stored in the memory unit at that address ( usually utilizing the machine's general purpose registers ).
Then the photon flux density ( watts per metre squared usually ) of the transmitted or reflected light is measured with a photodiode, charge coupled device or other light sensor.
Then he approaches the icon more closely, kissing the icon, usually on the representation of Christ's feet or the saint's hand.
Then, when a search engine user looks for a particular word or phrase, the search engine looks into the database and produces the results, usually sorted by relevance according to the search engine algorithms.
Then although the lists are seldom closed, certain categories of abusive conduct are usually prohibited under the country's legislation.

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