How to use Base in a sentence
Despise that which is base, said his mother.
Think we're safer at our base camp?
He cooked bare-chested, wearing black chinos, his dark hair clasped at the base of his neck.
It had been on the nightstand, partially hidden by the base of a lamp.
She ran hard, spotting Yully and Charles fighting back-to-back at the base of the obelisk.Advertisement
Dean also spoke to Cece Baldwin again, just to touch base and see if she might have heard further from her mysterious benefactor.
The men on the small base drew their weapons at the sight of Darian.
She left him at the base of the stairs and ascended alone.
A military organization may be quite correctly compared to a cone, of which the base with the largest diameter consists of the rank and file; the next higher and smaller section of the cone consists of the next higher grades of the army, and so on to the apex, the point of which will represent the commander-in-chief.
The only sound was the rush of water at the base of the canyon.Advertisement
Katie turned the crank at the base of the bed.
Through her tears the old Oak tree stood tall, the flowers at its base waving softly in the breeze.
Battles raged atop the walls, on the narrow stairways, at the base of the walls.
Alex didn't like highly spiced food, so she decided to bake Cornish game hens for the base of the meal.
The expression of that base and cringing smile, which Pierre knew so well in his wife, revolted him.Advertisement
I dropped to the ground as he yanked the phone from its base and flung it across the room.
There was a pointed pic at the base of its handle.
She pulled her hair back in a scrunchie at the base of her neck, growing nervous once again.
The dark base of the mountainous thunderheads had a greenish tinge.
I didn't get to first base but you've got a spiffy uniform and a shiny badge.Advertisement
The two pedaled together most of the afternoon, enjoying the pine-scented air, the cool breeze that hugged the base of the mountains and the yellow sunshine of a perfect spring day.
While the Martello tower owes its reputation and its widespread adoption in Great Britain to a single incident of modern warfare, the round masonry structure entered by a door raised high above the base is to be found in many lands, and is one of the earliest types of masonry fortification.
If you'll tell me how much you use each week, I'll replace it and we'll keep that base.
It is, however, though doubtless near to the base of the Oligochaetous series, most nearly allied in the reproductive system to the Oligochaeta.
The plateau-like summit, which originally could be reached only from the south by a steep and narrow path, was rendered almost impregnable to Indian attack by a sheer cliff on the river side of the hill, a deep ravine along its eastern base and steep declivities on the other sides.Advertisement
The birthplaces of these persons are still known, and to this day there are sequestered villages, nestling near the western base of the Ghats, which are pointed to as being the ancestral homes of men who two centuries ago had political control over half India.
Thus Raghoji Bhonsla established himself in the tracts lying underneath the southern base of the Satpura range (namely, Nagpur and Berar), overran Orissa and entered Bengal.
The slopes of the Armenian highlands are clothed with fine forests, and the vine is grown at their base, while on the wide-stretching steppes the Turko-Tatars pasture cattle, horses and sheep. The lower part of the Kura valley assumes the character of a dry steppe, the rainfall not reaching 54 in.
Russian aggression began somewhat early in the r8th century, when Peter the Great, establishing his base at Astrakhan on the Volga, and using the Caspian for bringing up supplies and munitions of war, captured Derbent from the Persians in 1722, and Baku in the following year.
The lower fort lies at the eastern base of the rock and measures about half a mile in diameter.
The Goyt has its source a little farther north, at the base of the same hill, and, taking a N.N.E.
In its rotunda is Jean Antoine Houdon's full-length marble statue of Washington, provided for by the Virginia General Assembly in 1784, and erected in 1796; its base bears a fine inscription written by James Madison.
The greatest height of the monument is 60 ft., and the diameter of its base is 86 ft.
In 1676, during " Bacon's Rebellion," a party of Virginians under Bacon's command killed about 150 Indians who were defending a fort on a hill a short distance east of the site of Richmond in the " Battle of Bloody Run," so called because the blood of the slain savages is said to have coloured the brook (or " run ") at the base of the hill.
Their cones are composed of thin, rounded, closely imbricated scales, each with a more or less conspicuous bract springing from the base.
The visceral hump forms a low conical dome above the subcircular foot, and standing out all round the base of this dome so as completely to overlap the head and foot, is the circular mantle-skirt.
It will be remembered that, according to Spengel, the osphradium of mollusca is definitely and intimately related to the gill-plume or ctenidium, being always placed near the base of that organ; further, Spengel has shown that the nerve-supply of this olfactory organ is always derived from the visceral loop. Accord ingly, the nerve-supply FIG.
Supposing the tube to be completely introverted and to commence its eversion, we then find that eversion may take place, either by a forward movement of the side of the tube near its attached base, as in the proboscis of the Nemertine worms, the pharynx of Chaetopods and the eye-tentacle of Gastropods, or by a forward movement of the inverted apex of the tube, as in the proboscis of the Rhabdocoel Planarians, and in that of Gastropods here under consideration.
The head is seen in front resting on the foot and carrying a median non-retractile snout or rostrum, and a pair of cephalic tentacles at the base of each of which is an eye.
The minute structure of the epithelium which clothes it, as well as the origin of the nerve which is distributed to the parabranchia, proves it to be the same organ which is found universally in molluscs at the base of each gill-plume, and tests the indrawn current of water by the sense of ?,g smell.
Marine Euthyneura, the more archaic forms of which have a relatively large foot and a small visceral hump, from the base of which projects on the right side a short mantle-skirt.
Its superficial extent is seen when the folds covering the shell are cut away and the shell removed; the external surface forms a triangle with its base bordering the pericardium, and its apex directed posteriorly and reaching to the lefthand posterior corner of the shell-chamber.
Thus the base of the gill passes in a slanting direction across the right-hand side of the kidney, the posterior end being dorsal to the apex of the gland, and the anterior end ventral to the right-hand corner.
Dorsum furnished on either side with papillae, at the base of which are ramified appendages.
The head bears a single pair of contractile but not invaginable tentacles, at the base of which are the eyes.
Jaw formed of folds imbricated externally and meeting at an acute angle near the base.
Nelson's capture of Malta (5th of September 1800) also secured for the time a sure base for British fleets in the Mediterranean.
Certainly he needed her support during that campaign; but many good judges have inclined to the belief that the whole-hearted support of Poles and Lithuanians would have been of still greater value, and that the organization of their resources might well have occupied him during the winter of 1812-1813, and would have furnished him with a new and advanced base from which to strike at the heart of Russia in the early summer of 1813.
Ia, frons; b, clypeus (the pointed labrum beneath it); II, mandible; III, first maxilla; (a, base; b, sheath; c, piercer), III', inner view of sheath; IV, second maxillae forming rostrum (b, mentum; c, ligula).
One tripod thus affords a firm base of support while the legs of the other tripod are brought forward to their new positions.
The frost broke at the end of February 1709, and then the spring floods put an end to all active operations till May, when Charles began the siege of the fortress of Poltava, which he wished to make a base for subsequent operations while awaiting reinforcements from Sweden and Poland.
Scapa Flow was preferred to the Cromarty Firth as his chief naval base by Admiral Jellicoe, but no preparations had been made and everything had to be improvised, guns being landed from the ships to strengthen the defences.
The few capital ships which happened to be there put to sea, and it was recognized that the base would be unsafe until anti-submarine defences were installed.
But it was now made to appear that the struthious birds in this respect resembled, not only the duck, but a great many other groups - waders, birds-of-prey, pigeons, passerines and perhaps all birds not gallinaceous - so that, according to Cuvier's view, the five points of ossification observed in the Gallinae, instead of exhibiting the normal process, exhibited one quite exceptional, and that in all other birds, so far as he had been enabled to investigate the matter, ossification of the sternum began at two points only, situated near the anterior upper margin of the side of the sternum, and gradually crept towards the keel, into which it presently extended; and, though he allowed the appearance of detached portions of calcareous matter at the base of the still cartilaginous keel in ducks at a certain age, he seemed to consider this an individual peculiarity.
It must not, however, be forgotten that Justin is here speaking as the apologist of Christianity to an educated Pagan public, on whose philosophical view of life he had to base his arguments, and from whom he could not expect an intimate comprehension of the religious position of Christians.
Doria seized Chioggia as a base of operations and drew his fleet inside the lagoons.
The ship to which he was appointed was ordered to China, and he found opportunities during the voyage for indulging his passion for exploration, making a journey from Rio de Janeiro to the base of the Andes, and another from Bombay through India to Ceylon.
In the War of 1812 Sackett's Harbor was an important strategic point for the Americans, who had here a naval station, Fort Tompkins, at the base of Navy Point, and Fort Volunteer, on the eastern side of the harbour.
In 1420 the emperor Sigismund made the city the base for his unsuccessful attack on the Taborites; Kuttenberg was taken by Ziika, and after a temporary reconciliation of the warring parties was burned by the imperial troops in 1422, to prevent its falling again into the hands of the Taborites.
The caudal fin is crescent-shaped, strengthened at the base by two short ridges on each side.
Apt to minimize difficulties, to search for the common ground of unity in opponents, he turned aside, with a disdain which superficial critics often mistook for indifference, from the base, the violent and the common.
Viscosity increases with density, but oils of the same density often vary greatly; the coefficient of expansion, on the other hand, varies inversely with the density, but bears no simple relation to the change of fluidity of the oil under the influence of heat, this being most marked in oils of paraffin base.
Since, however, the steppe edge on the east is somewhat indefinite, some early Moslem and other geographers have included all the Hamad in Syria, making of the latter a blunt-headed triangle with a base some 700 m.
To avoid the creation of induced currents, the coil frames and the base boards are constructed of slate.
The American government asked the Spanish authorities of East Florida to permit an American occupation of the country in order that it might not be seized by Great Britain and made a base of military operations.
On the top of the stupa was an ornament shaped like the letter T, and as the base of the stupa was above the quadrangle, the total height of the monument was between 50 and 60 ft.
In the narrow sense of the word, alchemy is the pretended art of making gold and silver, or transmuting the base metals into the noble ones.
Some are in Greek and demotic, and one, of peculiar interest from the chemical point of view, gives a number of receipts, in Greek, for the manipulation of base metals to form alloys which simulate gold and are intended to be used in the manufacture of imitation jewellery.
The .great mass of the Gilead range is formed of Jura limestone, the base slopes being sandstone partly covered by white marls.
These early fortifications of the Acropolis, ascribed to the primitive non-hellenic Pelasgi, must be distinguished from the Pelasgicum or Pelargicum, which was in all prob ab i l i ty an encircling wall, built round the base of the g citadel and furnished with nine gates from which it derived the name of Enneapylon.
These difficulties are met by the assumption that the semicircular masonry formed the base of a retaining-wall which rose to a considerable height, supporting a theatre-like structure capable of seating many thousand persons.
The earliest settlement on the Acropolis was doubtless soon increased by groups of dwellings at its base, inhabited by the dependents of the princes who ruled in the stronghold.
A Doric colonnade with a double row of columns was found to have extended along the base of the Acropolis for a distance of 54 yds.; behind it in a chamber hewn in the rock is the sacred well mentioned by Pausanias.
The Agrippeum, a covered theatre, derived its name from Vipsanius Agrippa, whose statue was set up, about 27 B.C., beneath the north wing of the Acropolis propylaea, on the high rectangular base still remaining.
Since its reversion to Ottoman power (1840) the history of Marash has been varied only by Armenian troubles, largely connected with the fortunes of Zeitun, for the reduction of which place it has more than once been used as a base.
The wild oat, moreover, has a long stiff awn, usually twisted near the base.
Its tetramethyl-diamino derivative, which is formed by condensing formaldehyde with dimethyl-meta-aminophenol and subsequent elimination of water from the resulting diphenyl methane derivative, is the leuco base of pyronine, into which it passes by oxidation.
He refused to base Judaism on speculative philosophy alone; there was a deep emotional side to his thought.
Towards the river, though rich in parts, this tract of country is generally wild and desolate, but nearer the base of the hill range there is a large natural basin of fertile land which is highly cultivated.
To the south of the Satpuras and extending along its base from west to east lie successively the Berar, Nagpur and Chhattisgarh plains.
The search for this essence subsequently resolved itself into the desire to effect the transmutation of metals, more especially the base metals, into silver and gold.
The canals of the proboscis open ultimately into a circular vessel which runs round its base.
In botany, the word is applied to leaves divided into two parts near the base.
The year 1784 marks the beginning of the ordnance survey, for in that year Major-General Roy measured a base line of 27,404 ft.
Six additional base lines were measured up to 1849, including the Lough Foyle, in 1827-1828, and that on Salisbury Plain, in 1849.
At some points the rugged cliffs, furrowed by deep ravines, approach close to the sea; elsewhere the hills leave a considerable maritime plain between their base and the shore line.
It was then determined that in the further operations against the mullah the main advance should be from a base on the east coast of Italian Somaliland - the open roadstead of Obbia being chosen.
The water is deep right to the base of the cliff and owing to the winds and the strength of the ocean currents, navigation is dangerous.
Nine feet in diameter at the base, it tapers to eight feet at the top. The catacombs, a short distance S.W.
In Sambucus and Viburnum the small white flowers are massed in heads; honey is secreted at the base of the styles and, the tube of the flower being very short, is exposed to the visits of flies and insects with short probosces.
The base of a similar column has only feet in the same attitude, and probably bore the name Nereus.
The village of South Hadley, or the Center, lies at the south base of Mount Holyoke, about 4 m.
Its base is Roman, of mingled stone and brick work.
It results from this that the horn has the appearance of a mass of agglutinated hairs, which, in the newly growing part at the base, readily fray out on destruction of the softer intermediate substance; but the fibres differ from true hairs in growing from a free papilla of the derm, and not within a follicular involution of the same.
At the base there is often an arkose, composed largely of fragments of serpentine and granite derived from the ancient floor.
His weakness as a philosopher is his tendency to base the laws of the universe on the experience-born, thought-produced convictions of one man - himself.
In 1355 Suleiman crossed over from Aidinjik and captured the fortress of Gallipoli, which was at once converted into a Turkish stronghold; from this base Bulair, Malgara, Ipsala and Rodosto were added to the Turkish possessions.
With Spain the war continued, and on the 24th of August 1574 Tunis - which had been taken by Don John of Austria in 1572 - was recaptured by the Turks, who from this new base proceeded, under Sinan Pasha and Kilij Ali, to ravage Sicily.'
In this sentence it is to be noted that the council of Constance was careful not to base itself upon the former decision of the council of Pisa.
The emperor now pressed on towards Friedland, where he would completely control the Russian communications with Konigsberg, their immediate base of supply, but for once the Russians outmarched him and covered their movement so successfully that for the next three days he seems to have completely lost all knowledge of his enemy's whereabouts.
The French army was thus disposed almost in an equilateral triangle with sides of about 570 m., with 95,000 men at the apex at Moscow opposed to 120,000, 30,000 about Brest opposite ioo,000, and 17,000 about Drissa confronted by 40,000, whilst in the centre of the base at Smolensk lay Victor's corps, about 30,000.
Calling up St Cyr, whom he had already warned to remain at Dresden with his command, he decides to fall back towards Erfurt, and go into winter quarters between that place and Magdeburg, pointing out that Dresden was of no use to him as a base and that if he does have a battle, he had much better have St Cyr and his men with him than at Dresden.
Yet even so the want of complete documentary evidence upon which to base conclusions has vitiated all but the most recent of the countless monographs and histories that have appeared on the subject.
Close to this stands the so-called tomb of Sitte Zobeide (Zobaida), with its octagonal base and pineapple dome, one of the most conspicuous and curious objects in the neighbourhood of Bagdad.
The oxides are then converted into double sulphates which are separated from each other by repeated fractional crystallization or by fractional precipitation with ammonia or some other base.
The flowers have a hollow tube at the base bearing at its free edge five sepals, an equal number of petals, usually concave or spoon-shaped, pink or white, and a great number of stamens.
In the case of the peach this peculiarity is in some way connected with the presence of small glandular outgrowths on the stalk, or at the base of the leaf.
The best-placed healthy young shoot produced from the wood buds at the base of the bearing branch is to be carefully preserved and in due time nailed to the wall.
The gill-pores occur on each side of the dorsal aspect of the worm in a longitudinal series at the base of a shallow groove, the branchial groove.
He then finally decided to attack Soult (intending subsequently to fall back through Galicia) and ordered up transports from Lisbon to Corunna and Vigo; thus changing his base from Portugal to the north-west of Spain; Blake's Spanish army, now rallying under the marquis de la Romana near Leon, was to co-operate, but was able to give little effective aid.
Let us consider the case of the neutralization of a base by an acid in the light of the dissociation theory.
An exactly similar process occurs when any strongly dissociated acid acts on any strongly dissociated base, so that in all such cases the heat evolution should be approximately the same.
This is fully borne out by the experiments of Julius Thomsen, who found that the heat of neutralization of one gramme-molecule of a strong base by an equivalent quantity of a strong acid was nearly constant, and equal to 13,700 or 13,800 calories.
This character is the base of the plan of adding glucose to wine and beer wort before fermenting, the alcohol content of the liquid after fermentation being increased.
The sides of the triangle slope down abruptly towards the west, more gradually towards the east; at the base stands the cone of Ayala Hill, the last outpost of the Rudnik Mountains, which extend far away to the south; and, at the apex, a cliff of Tertiary chalk, 200 ft.
To obtain the latex, deep incisions are made near the base of the tree extending up the trunk.
The trees are tapped on the " herring-bone " plan and the milk collected in vessels at the base.
The manufacture of overshoes and fishing boots is an analogous process, only the canvas base is more thickly coated with a highly pigmented rubber of low quality.
Several low chains of mountains have their base on the lower terrace and run from south-west to north-east; they are known as the Nerchinsk Mountains in Transbaikalia, and their continuations reach the northern parts of the Gobi.4 The great plateau is fringed on the north-west by a series of lofty border-ranges, which have their southern base on the plateau and their northern at a much lower level.
A typical feature of the north-eastern border of the high plateau is a succession of broad longitudinal 5 valleys along its outer base, ' The wide area between the middle Lena and the Amur, as well as the hilly tracts west of Lake Baikal, and the Yeniseisk mining region are in this condition.
Anteriorly this base supports a gurrie or gutter, the pre-oral rim of which is formed by a simple lip, but the post-oral rim is composed of a closely set row of tentacles.
The small arm-sinus runs along the arms of the lophophore at the base of the tentacles, and gives off a blind diverticulum into each of these.
The base of a tentacle bisected in the middle line.
The kidneys or nephridia open internally by wide funnel-shaped nephridiostomes and externally by small pores on each side of the mouth near the base of the arms. Each is short, gently curved and devoid of convolutions.
The chitinous chaetae have their origin in special ectodermal pits, at the base of which is one large cell which is thought to secrete the chaeta, as in Chaetopods.
The two plates may meet in the middle line, and leave only a small oval opening near the centre for the pedicle, as in Rhynchonella; or they may meet only near the base of the delthyrium forming the lower boundary of the circular pedicle-opening, as in Terebratula; or the right plate may remain quite distinct from the left plate, as in Terebratella.
To represent the simplest perpetuant, of weight 7, we may take as base either A2B 1 B 2 or A l A 2 B2, and since Ai+Bi =o the former is equivalent to A 2 ArB 2 and the latter to A 2 B i B2; so that we have, (1 -f-aix) (1 + a2x).
The leading products of the blast-furnace are argentiferous lead (base bullion), matte, slag and flue-dust (fine particles of charge and volatilized metal carried out of the furnace by the ascending gas current).
It holds its own, however, when base bullion contains bismuth in appreciable amounts, as in the Pattinson process bismuth follows the lead to be cupelled, while in the Parkes process it remains with the desilverized lead which goes to market, and lead of commerce should contain little bismuth.
The base bullion is imperfectly Pattinsonized, giving lead rich in silver and bismuth, which is cupelled, and lead low in silver, and especially so in bismuth, which is further desilverized by the Parkes process.
The plus-silver is due to the fact that in assaying the base bullion by cupellation, the silver lost by volatilization and cupel-absorption is neglected.
In the United States the cost of desilverizing a ton base bullion is about $6.
From this city as their base the Arabs, under Kotaiba (Qotaiba) ibn Moslim, early in the 8th century brought under subjection Balkh, Bokhara, Ferghana and Kashgaria, and penetrated into China as far as the province of Kan-suh.
The flowers, which are solitary, or rarely in pairs, at the end of slender axillary flower-stalks, are very irregular in form, with five sepals prolonged at the base, and five petals, the lowest one larger than the others and with a spur, in which collects the honey secreted by the spurs of the two adjoining stamens.
Aconitine (C33H45N013, according to Dunstan; C34H47NOH, according to Freund) is a crystalline base, soluble in alcohol, but very sparingly in water; its alcoholic solution is dextrorotatory, but its salts are laevorotatory.
The next four pairs of appendages (completing the mesosomatic series of six) consist, in both Scorpio and Limulus, of a base carrying each 130 to 150 blood-holding, leaf-like plates, lying on one another like the leaves of a book.
The appendage carrying the gill-book stands out on the surface of the body in Limulus, and has other portions developed besides the gill-book and its base; it is fused with its fellow of the opposite side On the other hand, in Scorpio, the gill-book-bearing apFIG.
The latter open at the base of the fifth pair of limbs of the Crustacean, just as the coxal glands open on the coxal joint of the fifth pair of limbs of the Arachnid.
The genital pores are situate at the base of the 7th pair of limbs, and may be repeated From Parker and Haswell's Text-book after Hoek.
Ventral view of a female with the appendages cut short near the base.
A, Ventral view of prosoma and of anterior region of opistho soma with the appendages cut off near the base; a and b, B, Dorsal view.
Ventral view with the appendages cut off at the base.
Respiratory organs tracheal, opening by a pair of spiracles in the prosoma above the base of the fifth appendage on IV III I composed, at least in many cases, of eleven somites, the 1 1 th somite very small, often hidden within the loth.
Orifice of coxal gland probably situated at base of coxa of 5th appendage; sternal plate of prosoma minute or absent; no prosternal element underlying the mouth.
Tracheae opening by a pair of stigmata situated above and behind the base of the 4th or 5th or 6th pair of appendages.
Tracheae, except in the aquatic species in which they are atrophied, opening by a pair of stigmata situated close to or above the base of the appendages of the 1st pair (mandibles).
Libau formed the base; Germany furnished the supplies; the Baits (Baron Pilar, Baron Randen) undertook the leadership. The liberation was thus made dependent on the goodwill of Germany.
Owing to the conflict of claims which grew out of the controversy, maritime states had to moderate their demands and base their pretensions to maritime dominion on the principle that it extended seawards from land.
The latter, however, made it the base of his operations against the Romans in 89, 72 and 67 B.C. Pompey made it a free city in 65, after Mithradates' fall.
The beds are homotaxial with the Karharbari series of India, and represent either the top of the Carboniferous or the base of the Permian of Europe.
At the west end of George Street, in the centre of Charlotte Square, stands the Albert Memorial, an equestrian statue of the prince consort, with groups at each of the four angles of the base.
The parish church contains the tombs of the Forresters, of old the leading family of the district, with full-length sculptured figures, and at the base of Corstorphine Hill - from one point of which (" Rest and be Thankful ") is to be had one of the best views of Edinburgh - are the seats of several well-known families.
Under the protection of the hill-fort, a native settlement was established on the ridge running down to the valley at the foot of Salisbury Crags, and another hamlet, according to William Maitland (1693-1757), the earliest historian of Edinburgh, was founded in the area at the northwestern base of the rock, a district that afterwards became the parish of St Cuthbert, the oldest in the city.
A conglomerate at the base contains traces of gold.
C. Smith with a force of 263 men left his camp at the Umgazi,on the eastern frontier of Cape Colony, and marching overland reached Durban without opposition, and encamped, on the 4th of May, at the base of the Berea hills.
Durban was soon thronged; and Pietermaritzburg, which was then practically the terminus of the Natal railway, was the base from which nearly all the expeditions to the goldfields were fitted out.
The corolla is generally funnelshaped, more rarely bell-shaped or tubular; the outer face is often marked out in longitudinal areas, five well-defined areas tapering from base to apex, and marked with longitudinal striae corresponding to the middle of the petals, and alternating with five non-striated weaker triangular areas; in the bud the latter are folded inwards, the stronger areas being exposed and showing a twist to the right.
These attempts at the unification of algebra, and its separation from other branches of mathematics, have usually been accompanied by an attempt to base it, as a deductive science, on certain fundamental laws or general rules; and this has tended to increase its difficulty.
In n = a P, a is the root or base, p is the index or logarithm, and n is the power or antilogarithm.
Neuserre of the Vth Dynasty appears to have been in the shape of a stumpy obelisk on a vast scale, only the base now remains, but hieroglyphic pictures, indicate this form.
A similar band of ornament runs round the top of the walls outside, and at their base is a reeded torus.
There is a 15th-century Italian example in South Kensington Museum of a pilastered turret containing an oblong crystal case, the whole resting on a stemmed base, and surmounted with a cupola.
The rocks at the base of the slopes are granite, the upper escarpments are of sedimentary rocks.
Seams of coal lie near the base, some of them exceeding 20 ft.
It was used as a base by hunters and traders with the interior, and in its vicinity there gathered a number of settlers of European origin, many of them outcasts from Europe or Cape Colony.
The northern part of Natal presented two faces of a triangle to the two enemies, the short base being formed by the Tugela river.
It is a very weak base, salts being only formed with mineral acids, and these are dissociated by water.
The family is the base of the social system in Annam and is ruled by its head, who is also priest and judge.
The primary school, in which the pupils learn only Chinese writing and the precepts of Confucius, stands at the base of this system.
The nitrate of this base (known as nitron) is so insoluble that nitrates may be gravimetrically estimated with its help. These bases combine with the alkyl iodides to yield quaternary ammonium salts.
Still in some parts of his system Sylvius shows an anxiety to base his pathology on anatomical changes.
He professed to base medicine entirely on a knowledge of symptoms, regarding all investigation of the causes of symptoms as useless.
Both east and west the walls of the rift-valley are close to the lake,the water in many places washing the base of the cliffs.
It is desultory to a degree; it is a base libel on religion and history; it differs from its model Ariosto in being, not, as Ariosto is, a mixture of romance and burlesque, but a sometimes tedious tissue of burlesque pure and simple; and it is exposed to the objection - often and justly urged - that much of its fun depends simply on the fact that there were and are many people who believe enough in Christianity to make its jokes give pain to them and to make their disgust at such jokes piquant to others.
The Nelson Column, the central feature of Trafalgar Square, is from the designs of William Railton (1843), crowned with a statue of Nelson by Baily, and has at its base four colossal lions in bronze, modelled by Sir Edwin Landseer.
The Roman general Paulinus Suetonius, after marching rapidly from Wales to put down a serious insurrection, found Londinium unfitted for a base of military operations, and therefore left the place to the mercy of Boadicea, who entirely destroyed it, and killed the inhabitants.
Four small boats of the mine-laying class were also dispatched, of which three (UC 14, UC 13, UC15) made their way to Constantinople, carrying important technical stores, in the summer months after an intermediate base had been established at Orak near Budrun.
After replenishing at that base, Hersing sailed on the 10th for the Dardanelles, where, on the 25th and 27th he sank the battleships " Triumph " and " Majestic."
The object of this second operation was twofold - it would indirectly assist the offensive against Sari Bair, it would also furnish the Allies who were planted down on the outer coast of the peninsula with a much more sheltered landing place and base than Anzac Cove.
Impressed by the unsatisfactory positions in which the Allied troops found themselves on the peninsula, by the impossibility of their making any progress at their existing strength, and by the risks that the army ran in remaining on such shores without any safe harbour to depend upon for base in stormy weather, Monro, after examining the situation on the spot in the closing days of Oct., declared unhesitatingly for a complete withdrawal.
Monro arrived and recommended evacuation of the peninsula, the Ottoman host gathered about the Dardanelles was already decidedly stronger in point of numbers than was the army which was clinging to patches of littoral without a sheltered base.
It is seen that the action is intermittent, liquid only being discharged during a down stroke, but since the driving force is that which is supplied to the piston rod, the lift is only con ditioned by the power available and by the strength of the pump. A continuous supply can be obtained by leading the delivery pipe into the base of an air chamber H, which is fitted with a discharge pipe J of such a diameter that the liquid cannot escape from it as fast as it is pumped in during a down stroke.
The so-called oil air-pumps are much more efficient; the valve difficulty is avoided, and the risk of leakage minimized; whilst in addition there is no air clearance between the piston and the base of the cylinder as in the older mechanical forms. The Fleuss pump may be taken as an example.
The inlet pipe enters an elliptical vessel which communicates with the cylinder a little way up from its base, whilst at the base there is a relief tube leading into the elliptical vessel already mentioned.
It may be said to spring from the head of the Taghdumbash Pamir, where it unites with the great meridional system of Sarikol stretching northwards, and the yet more impressive mountain barrier of Murtagh, the northern base of which separates China from the semi-independent territory of Kanjut.
Numerous derivatives of acridine are known and may be prepared by methods analogous to those used for the formation of the parent base.
Phenyl-acridine is the parent base of chrysaniline, which is the chief constituent of the dyestuff phosphine (a bye-product in the manufacture of rosaniline).
The leg is either pulled out from the substance of the base of the bowl, or from a small lump of glass added to the base.
If the section of the finished tube is to be a triangle, with the enamel and bore at the base, the molten mass is pressed into a V-shaped mould before it is pulled out.
A hollow rectangular bottle is formed, the base and sides of which are converted into sheets.
Bottle moulds are made of cast iron, either in two pieces, hinged together at the base or at one side, or in three pieces, one forming the body and two pieces forming the neck.
They are usually in two main pieces, a base and an upper part or collar of hinged sections.
The alabastra have short necks, are slightly wider at the base than at the shoulder and have rounded bases.
A modern glassblower, when making an amphora-shaped vase, finishes the base first, fixes an iron rod to the finished base with a seal of glass, severs the vase from the blowing iron, and finishes the mouth, whilst he holds the vase by the iron attached to its base.
Having severed the body of the vase from the blowing iron, he heated and closed the fractured base, whilst holding the vase by means of the rod fixed in the neck.
Nearly every specimen shows traces of the pressure of a tool on the outside of the neck, as well as signs of the base having been closed by melting.
Occasionally a knob or excrescence, formed by the residue of the glass beyond the point at which the base has been pinched together, remains as a silent witness of the process.
The absence of traces of the transition strengthens the supposition that the revolution in technique merely consisted in the discovery that it was more convenient to finish the base of a vessel before its mouth, and such a revolution would leave no trace behind.
The base is double but the inner lining has an opening in the centre.
The foot at first was formed by coiling a thread of glass round the base of the waist; but, subsequently, an open glass cone was joined to the base of the waist, and a glass thread was coiled upon the surface of the cone.
The lower parts, inner surface of the limbs, throat, chin and upper lip are dirty white; the outside of the ears, particularly at their base, and a patch on each side of the muzzle black; the end of the tail dusky.
Let P, Q denote the normal thrust across the sides bc, ca, and R the normal thrust across the base ab.
Thus the C.P. of a rectangle or parallelogram with a side in the surface is at a of the depth of the lower side; of a triangle with a vertex in the surface and base horizontal is 4 of the depth of the base; but if the base is in the surface, the C.P. is at half the depth of the vertex; as on the faces of a tetrahedron, with one edge in the surface.
In the War of 1812 Whitehall was fortified and was a base of supplies for American operations against Canada.
Vines have woody climbing stems, with alternate, entire or palmately lobed leaves, provided at the base with small stipules.
It lies at the northern base of the Monti Berici, on both sides of the Bacchiglione, at its confluence with the Retrone.
The body, or " strobila," consists of a usually minute organ of attachment (scolex or its representative) which is imbedded in the intestinal membrane, and of a series of segments that arise from the base of the scolex and increase in size distally.
It has long been known that when organic materials such as the dung and urine of animals, or even the bodies of animals and plants, are applied to the soil, the nitrogen within them becomes oxidized, and ultimately appears in the form of nitrate of lime, potash or some other base.
Lime is a base and neutralizes the acid materials present in badly drained meadows and boggy pastures.
After being pared off the turf is allowed to dry for a fortnight or so and is then placed in small heaps a yard or two wide at the base, a little straw or wood being put in the middle of each heap, which is then lighted.
The solitary ovule springs erect from the base of the ovarian cavity.
A piece of iron called the slade is bolted to the bottom of the frame, and this, running along the sole of the furrow, acts as a base to the whole implement.
They consist of a so-called "frond" - a flattened green more or less oval structure which emits branches similar to itself from lateral pockets at or near the base.
The Oceanic series is generally overlaid directly, and unconformably, by coral limestones; but at Bissex Hill, at the base of the coral limestones, and resting unconformably upon the Oceanic series, there is a Globigerina marl.
In the male, moreover, the pincers are caliper-like and toothed at the base, whereas in the female they are untoothed and only lightly curved at the tip. These differences suggest that the pincers aid in the pairing of the sexes.
Shamshan, 1700 ft., at the base of which Aden itself is built.
Kuwet was not formally placed under British protection, but it was officially announced by the government on the 5th of May 1903 " that the establishment of a naval base or fortified port in the Persian Gulf by any other power would be regarded as a very grave menace to British interests which would certainly be resisted with all the means at its disposal."
It is situated on the right bank of the Danube, at the base of the Wienerwald, and at the beginning of the great plain which separates the Alps from the Carpathians.
It is a monacid base; the hydrochloride, C 20 H 17 N0 4 HC1, is insoluble in cold alcohol, ether and chloroform, and soluble in 500 parts of water; the acid sulphate, C 20 H 17 N0 4 H 2 SO 4, dissolves in about loo parts of water.
Though the walls at the base are 13 ft.
The height of the tower is 179 ft., but the ascent is easy by a stair in the wall, and the visitor hardly perceives the inclination till he reaches the top and from the lower edge of the gallery looks "down" along the shaft receding to its base.
The coast, extending from the base of the Western or Maritime Cordillera to the Pacific Ocean, consists of a sandy desert crossed at intervals by rivers flowing through narrow, fertile valleys.
Farther north the Misti volcano rises over the city of Arequipa in a perfect cone to a height of over 20,013 ft., and near its base are the hot sulphur and iron springs of Yura.
The third division of Peru is the region of the tropical forests, at the base of the Andes, and within the basin of the Amazon.
In this plant the aeration is conducted by blowing in air at the base of the condenser.
The ordinary hydrated variety forms quadratic crystals and behaves as a strong base.
Hence, if a prism is placed in front of the eye with its base towards the nose, a ray of light falling upon it will be bent inwards, and seem to come from a point farther out from the axis of vision.
Conversely, if the base of the prism is turned towards the temple, the ray of light will seem to come from a point nearer the axis, and will induce the eye to turn inwards, to converge towards its fellow.
The cavities of the hollow tentacles open into a circular canal which surrounds the oesophagus at the base of the lophophore.
The fur is short, dense and rather soft to the touch, and composed of an extremely fine and close under-fur, and of longer hairs which project beyond this, each of which is very slender at the base, and expanded, flattened and glossy towards the free end.
On the hind foot the nails are long, curved and pointed, and the web extends only to their base.
This spur, which attains the length of nearly an inch, is traversed by a minute canal, terminating in a fine longitudinal slit near the point, and connected at its base with the duct of a large gland situated at the back part of the thigh.
Making Calcutta the base of his operations, he at once identified himself with a policy which had far-reaching results.
At the beginning of the Christian era, and for many previous centuries, no eruption had been known to take place from the mountain, and the volcanic nature of the locality was perhaps not even suspected by the inhabitants who planted their vineyards along its fertile slopes, and built their numerous villages and towns around its base.
Three towns are known to d ave been destroyedHerculaneum at the western base of the y olcano, Pompeii on the south-east side, and Stabiae, still farther sl outh, on the site of the modern Castellamare.
In all tsetse-flies the proboscis in the living insect is entirely concealed by the palpi, which are grooved in their inner sides and form a closely fitting sheath for the piercing organ; the base of the proboscis is expanded beneath into a large onion-shaped bulb, which is filled with muscles.
Society is to be reorganized on the base of knowledge.
They are thus the double key of The double Comte's systematization of the philosophy of all the key of sciences from mathematics to physiology, and his positive analysis of social evolution, which is the base of philo= sociology.
The mind will pursue knowledge without the wasteful jar and friction of conflicting methods and mutually hostile conceptions; education will be regenerated; and society will reorganize itself on the only possible solid base - a homogeneous philosophy.
In the year 1776, General Howe sent a detachment of his army under General Henry Clinton to seize Newport as a base of operations for reducing New England, and the city was occupied by the British on the 8th of December 1776.
At the base is a thermal spring, where baths have existed since the 7th century.
A triple-peaked volcano in the solfatara stage, extinct at the summit, but displaying considerable activity at its base in the form of numerous fumaroles and boiling sulilhur springs.
Two of the five compartments into which it is divided by walls of deeply striated volcanic ash are constantly emitting steam, while a new vent displaying great activity has been opened at the base of the cone on the south side.
In the surface of the metal the workman cuts grooves wider at the base than at the top, and then hammers into them gold or silver wire.
The difference between this process and ordinary inlaying is that for sumi-zogan the design to be inlaid is fully chiselled out of an independent block of metal with sides sloping so as to be broader at the base than at the top. The object which is to receive the decoration is then channelled in dimensions corresponding to those of the design block, and the latter having been fixed in the channels, the surface is ground and polished until an intimate union is obtained between the inlaid design and the metal forming its field.
Tc such a depth of debasement had the ceramic art fallen in Owari, that before the happy renaissance of the past ten years, Nagoya discredited itself by employing porcelain as a base for cloisonn enamelling.
The base, usually of copper, was as thin as cardboard; the cloisons, exceedingly fine and delicate, were laid on with care and accuracy; the colors were even, and the designs showed artistic judgment.
The artists great difficulty is to hide the metal base completely.
But to spread and fix the enamel so that neither at the rim nor in the interior shall there be any break of continuity, or any indication that the base is copper, not porcelain, demands quite exceptional skill.
In other words, a suitable design is chiselled in the metal base so as to be visible through Translucid the diaphanous enamel.
A gold base deeply chiselled in wave-diaper and overrun with a paste of aubergine purple is the most pleasing.
A still higher achievement is to apply to the chiselled base designs executed in colored enamels, finally covering the whole with translucid paste.
In the male flowers, which are numerous, the stamens are sixteen in number and arranged in pairs; the female flowers are solitary, with traces of stamens, and a smooth ovary with one ovule in each of the eight cells - the ovary is surmounted by four styles, which are hairy at the base.
The fruit-stalk is very short, bearing a subglobose fruit an inch or rather more in diameter, of an orange-yellow colour, and with a sweetish astringent pulp. It is surrounded at the base by the persistent calyxlobes, which increase in size as the fruit ripens.
The highly finished monoliths are all representations of a many-storeyed castle, with an altar at the base of each.
Baker City lies in the valley of Powder river, at the base of the Blue Mountains, and has an elevation of about 3440 ft.
But towards its southern base, resting on the sea, the country sinks into a series of great swamps, intercepted by a network of innumerable channels.
Characterized by possessing only a few teeth, on the posterior part of the maxillaries, on the palatines and Coronelline Nymphophidium, the same effect is reached by two prominences at the base of the skull.
The poison-fangs are "solenoglyphous," perforated, having a wide hole on the anterior side at the base, in connexion with the duct of the large, paired, poison-glands, the presence of which adds considerably to the characteristic broadness of the head.
If now we cut the freezing-point surface by planes parallel to the base ABC we get curves giving us all the alloys whose freezing-point is the same; these isothermals can be projected on to the plane of the triangle and are seen as dotted lines in fig.
Born of a family of priest-physicians, and inheriting all its traditions and prejudices, Hippocrates was the first to cast superstition aside, and to base the practice of medicine on the principles of inductive philosophy.
In January 1865 Sherman marched northwards again, once more abandoning his base, towards Petersburg, where Grant and Lee were waging a war of giants.
Its base was in Venetia, and its point was advanced to the Tiber.
The second process depends upon the fact that, if chlorine be led into the molten alloy, the base metals and the silver are converted into chlorides.
It is especially suitable to gold containing little silver and base metals - a character of Australian gold - but it yields to the sulphuric acid and electrolytic methods in point of economy.
But Kunze thinks that it was not used as a base of operations against Eutyches because there is some evidence that Monophysites were willing to accept it.
The events preceding the peace of Utrecht, which he regarded as preparing the way for a base desertion of our allies, greatly troubled the last months of Shaftesbury's life.
A base on which stood a statue of Herodes' wife, Regilla, was found close to the facade, inscribed with fulsome praise, stating that the statue was "set up by order of the Sisyphaean Senate at the outpouring of the streams."
At their base they are provided with stipules, which are also modified to form the scales investing the winter buds.
When ripe the two carpels separate in the form of two valves and liberate a large number of seeds, each provided at the base with a tuft of silky hairs, and containing a straight embryo without any investing albumen.
The tuft of hairs at the base facilitates rapid dispersion of the seed, early germination of which is rendered desirable owing to its tenuity.
The battle in 1408, which was fought along the base of the cliffs here between the Savages of the Ards and the Irish, is described in Sir Samuel Ferguson's "Hibernian Nights Entertainment."
The geological formations thus exposed show that the plateaus are composed of a base of eruptive material, overlaid by enormous deposits of reddish sandstones, conglomerates and quartzites, exposed in parts to a depth of 2000 feet.
In one group, represented by Cereus, they consist of a tube, more or less elongated, on the outer surface of which, towards the base, are developed small and at first inconspicuous scales, which gradually 0000 FIG.
At the base of the tube, in both groups, the ovary becomes developed into a fleshy (often edible) fruit, that produced by the Opuntia being known as the prickly pear or Indian fig.
The plants are nearly allied to Cereus, differing chiefly in the floriferous portion developing these longer and more attenuated hair-like spines, which surround the base of the flowers and form a dense woolly head or cephalium.
They differ from all the forms already noticed in being shrubby and epiphytal in habit, and in having the branches compressed and dilated so as to resemble thick fleshy leaves, with a strong median axis and rounded woody base.
The fortifications consist of the upper fortress, on a lofty serpentine rock rising abruptly from the plain on three sides, and of the lower fortress at the northern base of the rock.
Sharp, however, the hypopharynx is present in all Hymenoptera as a distinct structure at the base of the " tongue," which must be regarded as representing the fused laciniae of the second maxillae.
But the most natural division is obtained by the separation of the saw-flies as a primitive sub-order, characterized by the imperfect union of the first abdominal segment with the thorax, and by the broad base of the abdomen, so that there is no median constriction or " waist," and by the presence of thoracic legs - usually also of abdominal pro-legs - in the larva.
This section includes a number of families characterized by the backward extension of the prothorax to the tegulae and distinguished from the ants by the absence of " nodes " at the base of the abdomen.
Cradock preferred to fight and take the chance of inflicting injury on the German squadron, which was far from any base of refitment and repair.
In the adult there is a pair of such glands opening ventrally on the hindmost thoracic segment, or at the base of the abdomen; but in the young insect the glands are situated dorsally and open to the exterior on a variable number of the abdominal terga.
It contains incomparable studies of the Florentine housewife and her husband, a grave business-like citizen, who falls into the senile folly of a base intrigue.
But the two substances were generally confounded as "fixed alkali" (carbonate of ammonia being "volatile alkali"), till Duhamel du Monceau in 1736 established the fact that common salt and the ashes of seaplants contain the same base as is found in natural deposits of soda salts ("mineral alkali"), and that this body is different from the "vegetable alkali" obtained by incinerating land plants or wood (pot-ashes).
At the base of this account lies the Babylonian myth' of the birth of the sun-god Marduk, his escape from the dragon who knows him to be his destined destroyer, and the persecution of Marduk's mother by the dragon.
The town, with wide streets and picturesque promenades, is finely situated on a promontory, the base of which is washed on the south by the Cousin, on the east and west by small streams. Its chief building, the church of St Lazare, dates from the 12th century.
Billwiller introduced the idea of sucking air into the flame at or just below the burner tip, and at this juncture the Naphey or Dolan burner was introduced in America, the principle employed being to use two small and widely separated jets instead of the two openings of the union jet burner, and to make each a minute bunsen, the acetylene dragging in from the base of the nipple enough air to surround and protect it while burning from contact with the steatite.
Apparatus is added to some dynamometers by means of which a curve showing the variations of P on a distance base is drawn automatically, the area of the diagram representing the work done; with others, integrating apparatus is combined, from which the work done during a given interval may be read off directly.
It is to be noticed that each number is the sum of the numbers immediately 35 above and to the left of it; and 35 that the numbers along a line, termed a base, which cuts off an equal number of units along the top row and column are the co efficients in the binomial expansion of (I+x) r - 1, where r represents the number of units cut off.
The first or typical palm-squirrel, Funambulus palmarum, inhabits Madras, has but three light stripes on the back, and shows a rufous band on the under-side of the base of the tail.
It forms the base for all punitive expeditions to the Tochi Valley and Waziri frontier.
The base of the abomasum is turned to the omasum.
In 1871 the Danish parliament (Riksdag) passed a law defining the political position of Iceland in the Danish monarchy, which, though never recognized as valid by the Icelanders, became de facto the base of the political relations of Iceland and Denmark.
The other comprises the Myxosporidia, Actinomyxidia, Sarcosporidia and Haplosporidia, the parasites included in the last named order being of comparatively simple structure, and probably near the base of this section.
The bishop, who attended the Conqueror's funeral, joined in the great rising against William Rufus next year (1088), making Bristol, with which (as Domesday shows) he was closely connected and where he had built a strong castle, his base of operations.
For the water supply the Aztecs used the main causeway through their city as a dam to separate the fresh water from the hills from the brackish water of Texcoco, and obtained drinking water from a spring at the base of the hill of Chapultepec. The Spaniards added three other springs to the supply and constructed two long aqueducts to bring it into the city.
The air, the waters and the land were their base of supplies, and cannibalism, it is admitted, was widespread.
The pattern is that of a true sight, that is to say, the base plate is capable of movement about two axes, one parallel to and the other at right angles to the axis of the gun, and has cross spirit-levels and a graduated elevating drum and independent deflection scale, so that compensation for level of wheels can be given and quadrant elevation.
If of the first class, it should be situated at the base of operations and supply, secure from attack, not too near a frontier, and placed so as to draw in readily the resources of the country.
The story goes that a Mahratta chief at length succeeded in scaling the precipice and in carrying off the horse, and although the thief was captured before reaching the base of the hill, the spell was broken and the fort, when next attacked, fell.
Pits are present in the forehead of the skull, and the horns are ringed for part of their length, with a compressed base; their form being often lyrate,.
Almost the only characters they possess in common are the short and spike-like horns of the bucks, which are ringed at the base, with smooth tips, and the large size of the face-gland, which opens by a circular aperture.
The horns are generally rather small, upright, ringed at the base,.
His information showed that Wellington held the western half of Belgium from the Brussels-Charleroi road to the Scheldt, that his base of operations was Ostend, and that his headquarters were at Brussels.
They turned out to be stragglers; but their capture for a time helped to confirm the idea, prevalent in the French army, that Blucher was drawing off towards his base.
Many ships have been wrecked on the jagged reefs which fringe their base.
In the upper or northern tarai, along the base of the hills, the Mechs form the principal ethnical feature.
That the area of a parallelogram is equal to the area of a rectangle on the same base and between the same parallels, or that the volume of a cone is one-third that of a cylinder on the same base and of the same height, may be established by a proof which is admitted to be rigorous, or be accepted in good faith without proof, and yet fail to be a matter of conviction, even though there may be a clear conception of the relative lengths of the diagonal and the side of a square or of the relative contents of two vessels of different shapes.
This is the process adopted, for instance, for comparison of the area of a parallelogram with that of a rectangle on the same base and of the same height.
It would be possible to regard this form of the figure as the general one; the figure considered in (i) would then represent the special case in which the two end-pieces of the broken line are at right angles to the base.
Then the figure is (usually) the sum of two trapezoids F on base AE, and its area can be calculated as in § 24.
Take any base X'X, and draw lines at right angles to this base through all the angular points of the figure.
Then, if we take ordinates Kb, Lg, Mc, Nd, Pf, equal to B'B, GG', C'C, D'D, FF', the figure abgcdfe will be the equivalent trapezoid, and any ordinate drawn from the base to the a LM N P e X top of this trapezoid will be equal to the portion of this ordinate (produced) which falls within the original figure.
This formula holds for the general case in which the base is a trapezium; the wedge being thus formed by cutting a triangular prism by any two planes.
Then the prismoid is divided into a pyramid with vertex P and base ABCD ..., and a series of tetrahedra, such as PABa or PAab.
This would involve p and q; but, for our purposes, the data are the sides pa+q and pb+q and the base b - a, and the expression of the integral in terms of these data would require certain eliminations.
Either or both of the bounding ordinates may be zero; the top, in that case, meets the base at that extremity.
The corresponding solid figure, in its most general form, is such as would be constructed to represent the relation of a magnitude E to two magnitudes F and G of which it is a function; it would stand on a plane base, and be comprised within a cylindrical boundary whose cross-section might be of any shape.
We are not concerned with figures of this general kind, but only with cases in which the base is a rectangle.
A briquette may therefore be defined as a solid figure bounded by a pair of parallel planes, another pair of parallel planes at right angles to these, a base at right angles to these four planes (and therefore rectangular), and a top which is a surface of any form, but such that every ordinate from the base cuts it in one point and one point only.
It may be regarded as generated either by a trapezette moving in a direction at right angles to itself and changing its top but keeping its breadth unaltered, or by an ordinate moving so that its foot has every possible position within a rectangular base.
The " mid-ordinate " is the ordinate from the middle point of the base, i.e.
In the case of the briquette the position of the foot of the ordinate u is expressed by co-ordinates x, y, referred to a pair of axes parallel to a pair of sides of the base of the briquette.
If the lengths of these sides are H and K, the coordinates of the angles of the base - i.e.
If this is done for every possible value of x, there will be a series of ordinates tracing out a trapezette with base along OX.
The top is then a parabola whose axis is at right angles to the base; and the area can therefore (§ 34) be expressed in terms of the two bounding ordinates and the midordinate.
Thus we find from (i) that Simpson's second formula, for the case where the top is a parabola (with axis, as before, at right angles to the base) and there are three strips of breadth h, may be replaced by area = 8h(3u i + 2U 1 + 3us).
In the case of a pyramid, of height h, the area of the section by a plane parallel to the base and at distance x from the vertex is clearly x 2 /h 2 X area of base.
To extend these methods to a briquette, where the ordinate u is an algebraical function of x and y, the axes of x and of y being parallel to the sides of the base, we consider that the area of a section at distance x from the plane x = o is expressed in terms of the ordinates in which it intersects the series of planes, parallel to y=o, through the given ordinates of the briquette (§ 44); and that the area of the section is then represented by the ordinate of a trapezette.
The most simple case is that in which the trapezette tapers out in such a way that the curve forming its top has very close contact, at its extremities, with the base; in other words, the differential coefficients u', u", u"',.
The formulae of § 82 can be extended to the case of a briquette whose top has close contact with the base all along its boundary; the data being the volumes of the minor briquettes formed by the planes x =x0, x = x i,
These lines isolate certain swellings or monticuli, the largest of which is (I) the ball of the thumb, called the mountain of Venus; (2) that at the base of the index finger is the mountain of Jupiter; (3) at the root of the middle finger is the mountain of Saturn, while those at the bases of ring and little finger are respectively the mountains of the (4) Sun and (5) of Mercury.