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Page "Hyperbola" ¶ 10
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line and through
They poured through the opening in the valley, then spread out in a long line to come at us, brandishing their lances and filling the morning with their spine-chilling scalp cry.
Promptly their livestock was taken and according to Gorton the soldiers were ordered to knock down anyone who should utter a word of insolence, and run through anyone who might step out of line.
In his study Samuel Johnson, Joseph Wood Krutch takes this line when he says that what Aristotle really means by his theory of catharsis is that our evil passions may be so purged by the dramatic ritual that it is `` less likely that we shall indulge them through our own acts ''.
And as they go through college, the students tend to bring their political position in line with that prevalent in the social groups to which they belong.
Scribe a line through the center of the pin and across the face of tappet 3, parallel to piece `` A ''.
The roots of this equation are just the ordinates of the intersections of the graph of B with a straight line of unit slope through Af in the b-plane ( the plane of the graph of b ).
A general line L meets Q in two points, Af and Af, through each of which passes a unique generator of the regulus, Af, whose lines are simple secants of Aj.
Hence, thought of as a line in a particular plane **yp, any tangent to Q has a unique image and moreover this image is the same for all planes through L.
A line through two of these points, Af and Af, will be transformed into the entire bilinear congruence having the tangents to **zg at Af and Af as directrices.
Since a ruled surface of order N with N concurrent generators is necessarily a cone, it follows finally that every line through a point, P, of **zg meets its image at P, as asserted.
The first possibility requires that there be a line through P which meets **zg in Af points ; ;
the second requires that there be a line through P which meets **zg in Af points.
If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.
Word reached the company that the man behind these depredations was Manuel Gonzales, a man with many followers, including a number who were kept in line through fear of him.
If the cutting force, Af, is plotted against film thickness, a straight line should result passing through the origin and having slope Af.
Often, threading through the overcast, he was forced to fly close to the ground by a low ceiling, skimming above the Winooski or the White River along the line of the broken railroad.
Saxton has made only one second-half appearance this season and that was in the Washington State game, for four plays: he returned the kickoff 30 yards, gained five yards through the line and then uncorked a 56-yard touchdown run before retiring to the bench.
The division said it would be impossible to work on the line until then because of the large amount of acid sewage from jewelry plants in the area flowing through the line, heavy vehicle traffic on Eddy Street and tide conditions.
Once four Tibetan monks, in their saffron robes, filed through the cafeteria line.
It was like a long thin line drawn through a pink circle.
In this line, Mohamed Temam, Abdelkhader Houamel have also returned through this art, scenes from the history of the country, the habits and customs of the past and the country life.
A line running from Cape Aspro ( 28 ° 16 ' E ) in Asia Minor, to Cum Burnù ( Capo della Sabbia ) the Northeast extreme of the Island of Rhodes, through the island to Cape Prasonisi, the Southwest point thereof, on to Vrontos Point ( 35 ° 33 ' N ) in Skarpanto < nowiki >< nowiki ></ nowiki >, through this island to Castello Point, the South extreme thereof, across to Cape Plaka ( East extremity of Crete ), through Crete to Agria Grabusa, the Northwest extreme thereof, thence to Cape Apolitares in Antikithera Island, through the island to Psira Rock ( off the Northwest point ) and across to Cape Trakhili in Kithera Island, through Kithera to the Northwest point ( Cape Karavugia ) and thence to Cape Santa Maria () in the Morea.

line and these
The line of an eyebrow, the color of the skin, a ghazal from Hafiz, the purity of spring water, the long afternoon among the boughs which crowd the upper story of a pavilion -- these things are noticed, judged, and valued.
therefore, only with precise foreknowledge of the line frequencies is an astronomical search for the radio spectra of these molecules feasible.
A study of the hydrogen line profiles indicates that a measurement of these profiles can be used to calculate a temperature for the arc plasma that is reliable to about Af percent.
that these products constituted a `` line of commerce '' within the meaning of the Clayton Act ; ;
During these years the company's product line followed the basic tenets laid down by Mr. Brown.
The desired amounts of inactive chlorine and radioactive chlorine were likewise condensed in these cells on the vacuum line following which they were frozen down and the manifold as a whole was sealed off.
The most obvious of these is the quadratic complex of tangents to Q, each line of which is transformed into the entire pencil of lines tangent to Q at the image of the point of tangency of the given line.
Clearly, any line, l, of any bundle having one of these points of tangency, T, as vertex will be transformed into the entire pencil having the image of the second intersection of L and Q as vertex and lying in the plane determined by the image point and the generator of Af which is tangent to **zg at T.
The consuming public has used up a good part of these liquid assets, or they have been drained by the rising price level, and we have apparently gotten to the end of the line in making consumer or home mortgage terms easier.
But to return to the main line of our inquiry, it is doubtful that Utopia is still widely read because More was medieval or even because he was a martyr -- indeed, it is likely that these days many who read Utopia with interest do not even know that its author was a martyr.
Below this crack is another group of eleven parallel lines, again divided into two sections by a line perpendicular to them, but with the semicircle at the top of the intersection ; the third, sixth and ninth of these lines are marked with a cross where they intersect with the vertical line.
Consider the assembly of a car: assume that certain steps in the assembly line are to install the engine, install the hood, and install the wheels ( in that order, with arbitrary interstitial steps ); only one of these steps can be done at a time.
But he did not just speak straight out of these books but took a distinctive personal line in his consideration, and brought the mind of Ammonius ' to bear on the investigation in hand.
Associated with these great valleys are a number of volcanic peaks, the greatest of which occur on a meridional line east of the eastern trough.
Also, the court pointed out that, while Canada has the power to amend the line of succession to the Canadian throne, the Statute of Westminster stipulates that the agreement of the governments of the fifteen other Commonwealth realms that share the Crown would first have to be sought if Canada wished to continue its relationship with these countries.
Being some of the best cores " off the line ," these CPUs typically overclocked more reliably than their desktop-headed counterparts.
But these are physical representations of the corresponding mathematical entities ; the line and the curve are idealized concepts whose width is 0 ( see Line ).
The celebration of deeds of ancient Danish and Swedish heroes, the poem beginning with a tribute to the royal line of Danish kings, but written in the dominant literary dialect of Anglo-Saxon England, for a number of scholars points to the 11th century reign of Canute, the Danish king whose empire included all of these areas, and whose primary place of residence was in England, as the most likely time of the poem's creation, the poem being written as a celebration of the king's heroic royal ancestors, perhaps intended as a form of artistic flattery by one of his English courtiers.
The challenge in all these shots is to be able to adjust line and length accordingly, the faster the delivery, the narrower the line or " green ".
DEC would later introduce the extremely popular PDP-11 line that originally was built with SSI ICs but was eventually implemented with LSI components once these became practical.

0.219 seconds.