Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.

Then it draws the sides of its throat together, forcing the water through the gill openings, so that it passes over the gills to the outside.

Then dividing both sides by yields

Then or afterwards, a new row of farms was set up on this new farmland along both sides of Cain's Lane.

Then, applying the triangle inequality to both sides, using ( 5 ) and the fact that as well as are non-negative we obtain

Then close the iron and cook both sides.

Curds are mentioned in the Middle Irish parodic tale The Vision of Mac Conglinne, the relevant portion of which reads: Stately, pleasantly it sat, A compact house and strong. Then I went in: The door of it was dry meat, The threshold was bare bread, cheese-curds the sides. Smooth pillars of old cheese, And sappy bacon propsAlternate ranged ; Fine beams of mellow cream, White rafters-real curds, Kept up the house.

Then supplementary offerings follow, thereafter prayers and accompanying rites with vases on both sides of a trench.

Then the sum of the signed distances from the circumcenter D to the sides of triangle ABC is

Then over the upper bridge to the Georgthor, on both sides.

Then, they also took great profits from Spain's neutrality in World War I, which allowed them to export to both sides, and the Spanish expansion in Morocco, which Catalan industrialists encouraged, since it was to become a fast growing market for them.

Then wedges would be pounded in along the sides and the planks slowly split off the side of the tree.

Then, an additional layer of dough goes on top and is pressed to the sides of the crust.

Then a potential well would be a valley surrounded on all sides with higher terrain, which thus could be filled with water ( e. g., be a lake ) without any water flowing away toward another, lower minimum ( e. g. sea level ).

Then, on May 14, in a revolt instigated by members of the Democratic Party, elements of civil reactionary groups and supported by elements of the Navy began what was essentially a civil war ; there were many deaths and injuries on both sides.

Then there gradually arose on all sides the warmest congratulation to the composer, it could hardly be termed applause, for it was something much more genuine and respectful.

Then if we cancel V ( x ( t ), t ) on both sides, divide by dt, and take the limit as dt approaches zero, we obtain the HJB equation defined above.

Then came a pause, and both sides reinforced the battle line, the Spaniards sending forward 2 companies of San Fernando and the artillery.

Then any point on any of the edges of the triangle is within a distance of δ from one of the other two sides.

Then they were painted a full white ( roof, bonnets, sides were all painted white ) in 1981 – 82 to combat graffiti.

CG, FG and DG are joined forming cyclic quadrilateral DFCG in which three sides belong to the regular decagon ( length c ) and the fourth DG is of length z. Diagonals DC and FG are both of length a ( side of the pentagon ) Then:

Then, cutting on all four sides of the square seal on the prosphoron, he removes a cube ( the Lamb ), taking from both layers of the loaf, and places it in the center of the diskos.

Then following is the existential struggle of man to take sides.

Then the two sides exercise their peremptory challenges on the remaining pool, usually alternating.

Then, on July 2, there occurred another incident which set tongues to wagging at a furious clip.

Then came this decision, which sped the process of gaining equality ( or perhaps hindered it ; ;

Then he kept Blackman awake for more than an hour while he did an imaginary dialogue between his wife and himself in which, discussing the evening, he was continually berated.

Then followed a period in which he wrote reviews for The New York Times Book Review, The Commonweal, Commentary, had a small piece in Partisan Review, and moved on to Hudson, The Village Voice, and Exodus.

Certainly, the meaning is clearer to one who is not familiar with Biblical teachings, in the New English Bible which reads: `` Then Jesus arrived at Jordan from Galilee, and he came to John to be baptized by him.

Then the figures which held his attention became a group of shattered trees, standing like the grotesques of a medieval damnation scene.

Then Wilson asked, `` What about this Kent House which you mention??

Then, abandoning the studies in the face of their promising outlook for all concerned, B. & O. entered on-again-off-again negotiations with C. & O. which resulted in the present situation.

Then there was the caterer's ad which read: `` are you getting married or having an affair??

Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.

Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.

Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;

Then there is a matchmaker, one Mikeen Flynn, a role for which Eddie Foy was happily selected.

Then there was exercise, boating and hiking, which was not only good for you but also made you more virile: the thought of strenuous activity left him exhausted.

Then, without knowing why, she found herself running from them, fleeing wildly through the trees, dodging her own shadows until she came to a little hollow in the rocky ground with a big stone in the center behind which she knelt and hid, listening to the madness of her heart and wanting for once to cry.

Schweitzer notes that St. Paul apparently believed in the immediacy of the " Second Coming of Jesus ": " Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord " ( 1 Thessalonians 4. 17 ).

Then nodules of blue earth have to be removed and an opaque crust must be cleaned off, which can be done in revolving barrels containing sand and water.

After this, the senior priest ( or bishop ) pours pure olive oil and a small amount of wine into the shrine lamp, and says the " Prayer of the Oil ", which calls upon God to "... sanctify this Oil, that it may be effectual for those who shall be anointed therewith, unto healing, and unto relief from every passion, every malady of the flesh and of the spirit, and every ill ..." Then follow seven series of epistles, gospels, long prayers, Ektenias ( litanies ) and anointings.

Then he removed to Sura, on the Euphrates, where he established a school of his own, which soon became the intellectual center of the Babylonian Jews.

Then comes her one solo, " Liaisons ", in which her character thinks back on the art of love as a profession in a gilded age, when sex ' was but a pleasurable means to a measurable end.

Then he proves the antithesis, that time has no beginning, by showing that if time had a beginning, then there must have been " empty time " out of which time arose.

In " A Village Sketch ," author Miss Mitford wrote: " Then comes a sun-burnt gipsy of six, beginning to grow tall and thin and to find the cares of the world gathering about her ; with a pitcher in one hand, a mop in the other, an old straw bonnet of ambiguous shape, half hiding her tangled hair ; a tattered stuff petticoat once green, hanging below an equally tattered cotton frock, once purple ; her longing eyes fixed on a game of baseball at the corner of the green till she reaches the cottage door, flings down the mop and pitcher and darts off to her companions quite regardless of the storm of scolding with which the mother follows her runaway steps.

Then the Greek army counter-attacked and defeated the Bulgarians at Kilkis-Lahanas ( Kukush ), after which the mostly Bulgarian town was destroyed and its population expelled.

Then there are directives which bind members to certain goals which they must achieve, but they do this through their own laws and hence have room to manoeuvre in deciding upon them.