Diameter Sentence Examples
He gives no diameter or wind-pressure.
The diameter of the orchestra is 762 ft.
In the rubber ring joint an india-rubber ring is used; slightly less in diameter than the pipe.
The diameter ox the outer crater, within which rises the modern cone to a height of 500 ft.
In 1920 he was able to demonstrate by means of light-interference that the diameter of Alpha Orionis was 260,000,000 miles.
They are divided into breaking-down and finishing rolls, the latter being of smaller diameter than the former.
In the hydropolyp the body is typically elongated, the height of the column being far greater than the diameter.
The trunk attains a height of from 80 to 140 ft., with a diameter of from 3 to 5 ft.
The front or cover of the case is a similar button of hard polished carbon D, also slightly smaller in diameter than the cylindrical wall of the box.
The eighth storey, which contains the bells, is of much smaller diameter than the rest of the tower, and has only twelve columns.
AdvertisementThe differences of the readings of the screw, when converted into arc, afford the means of measuring the variations of the sun's apparent diameter.
Estimate the diameter of the star's image in terms of the 4" intervals of the movable webs.
The old town, containing many narrow and irregular streets, forms a semicircle with its diameter towards the river, while round its periphery has sprung up the greater part of modern Munich, including the handsome Maximilian and Ludwig districts.
The body-wall is extensively calcified in the Cyclostomata and in most Cheilostomata, which may form elegant network-like colonies, as in the unilaminar genus Retepora, or may consist of wavy anastomosing plates, as in the bilaminar Lepralia foliacea of the British coasts, specimens of which may have a diameter of many inches.
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.
AdvertisementThe diameter is generally 26 ft., but may be greater; the best depth is considered to be a quarter of the diameter.
The largest is an ellipse of about 60 by 66 ft., but most of the sesi have a diameter of 20-25 ft.
Newton defined the diameter of a curve of any order as the locus of the centres of the mean distances of the points of intersection of a system of parallel chords with the curve; this locus may be shown to be a straight line.
Modern surveying ships no longer make use of hempen lines with enormously heavy sinkers, such as were employed on the " Challenger," but they sound instead with steel piano wire not more than 310 to 215 of an inch in diameter and a detachable lead seldom weighing more than 70 lb.
The tubbing, which is considerably less in diameter than the borehole, is suspended by rods from the surface until a bed suitable for a foundation is reached, upon which a sliding length of tube, known as the moss box, bearing a shoulder, which is filled with dried moss, is placed.
AdvertisementIn this system the soft ground or fissured water-bearing rock is rendered temporarily solid by freezing the contained water within a surface a few feet larger in diameter than the size of the finished shaft, so that the ground may be broken either by hand tools or blasting in the same manner as hard rock.
The chilled brine enters through a central tube of small diameter, passes to the bottom of the outer one and rises through the latter to the surface, each system of tubes being connected above by a ring main with the circulating pumps.
The power is applied by steam acting directly on a crank at one end of the axle, and the diameter of the fan may be 40 ft.
The extreme diameter is 25 ft.
It may be regarded as an epicycloid in which the rolling and fixed circles are equal in diameter, as the inverse of a parabola for its focus, or as the caustic produced by the reflection at a spherical surface of rays emanating from a point on the circumference.
AdvertisementThe lake, which is roughly circular with a diameter of some 13 m., lies at an altitude of 6135 ft.
It combines the planisphere and armillae of Hipparchus and others, and the theodolite of Theon, and was usually of brass, varying in diameter from a couple of inches to a foot or more.
Suppose, for instance, that we require the area of a circular grass-plot of measured diameter.
Thus the inaccuracy in taking the measured diameter as the datum is practically of the same order as the inaccuracy in taking the grass-plot to be circular.
Suppose, for instance, that in the example given in § 20 the diameter as measured is is ft.
The distance between the block and the plate is adjusted so as to be slightly less than the diameter of the blank, and the result is that the edge of the blank is thickened and its diameter reduced before it escapes from the machine.
He found that in all cases the velocity decreased with a diameter.
Regnault also set up a shorter length of pipes of diameter o 108 m.
This investigation is subject to the limitation that the diameter of the cross-section must be small compared with the wave-length.
A " sounding tube," say an inch in diameter, and somewhat more than twice the length of the jet tube, is then lowered over the flame, as in the figure.
The cylindrical form of jet is unstable if its length is more than 7 times its diameter, and usually the irregular disturbances it receives at the orifice go on growing, and ultimately break it up irregularly into drops which go out at different rates.
But, if quite regular disturbances are impressed on the jet at intervals of time which depend on the diameter and speed of outflow (they must be somewhat more than ?r times its diameter apart), these disturbances go on growing and break the stream up into equal drops, which all move with the same velocity one after the other.
Every point is equidistant from a fixed point within the surface; this point is the "centre," the constant distance the "radius," and any line through the centre and intersecting the sphere is a "diameter."
The extremities of the diameter perpendicular to a small circle are called the "poles" of that circle, and the distance from the pole to the circle, measured by the arc of the great circle through the pole, is the "polar distance" of the small circle.
Calling the radius r, and denoting by the ratio of the circumference to the diameter of a circle, the volume is 31rr 3, and the surface 41rr2.
At their end is fixed a blade of cast iron from two to eight times the diameter of the shaft of the pile; the pitch of the screw varies from one-half to one-fourth of the external diameter of the blade.
It was a cylinder of parchment of about the diameter of a coachwheel, and was literally rolled up on the floor of the house.
In diameter the pillars vary from 15 to 20 in., and in height some are as much as 20 ft.
The morainic belts and other obstructions in the drift plains hem in the waters in the intervening basins and create what are called " glacial lakes," var y ing in diameter from a few yards to several miles.
We can obtain a pertinent illustration from the motion of a vortex ring in a fluid; if the circular core of the ring is thin compared with its diameter, and the vorticity is not very great, it is the vortical state of motion that travels across the fluid without transporting the latter bodily with it except to a slight extent very close to the core.
The ectoderm loses entirely the ciliation which it had in the planula and actinula stages and commonly secretes on its external surface a protective or supporting investment, the perisarc. Contrasting with this, the anthopolyp is generally of s q uat form, the diameter often exceeding the height; the peristome is wide, a hypostome is lacking, and the ectoderm, or so much of it as is exposed, i.e.
As a first result of experiment it was found that the resistance of similar shot was proportional, at the same velocity, to the surface or cross section, or square of the diameter.
The resistance R can thus be divided into two factors, one of which is d 2, where d denotes the diameter of the shot in inches, and the other factor is denoted by p, where p is the resistance in pounds at the same velocity to a similar I-in.
We first determine the time t in seconds required for the velocity of a shot, d inches in diameter and weighing w lb, to fall from any initial velocity V(f/s) to any final velocity v(f/s).
After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.
Even the small island-rocks of the Mediterranean, sometimes only a few hundred yards in diameter, are occupied by peculiar races of lizards, which have attracted much attention from the fact that they have assumed under such isolated conditions a more or less dark,.
The great extension of surface thus produced had the drawback of exaggerating any small defect in the union of the two metals, increasing it to a blister of an inch or more in diameter.
A secondary standard measure for dry goods is the bushel of 1824, containing 8 imperial gallons, represented by a hollow bronze cylinder having a plane base, its internal diameter bring double its depth.
Some species build their nests in trees - great globular masses sometimes three feet in diameter, supported on the larger branches, and connected with the ground by covered passages on the outside of the tree.
The polar equation is r=a+b cos 0, where 2a= length of the rod, and b= diameter of the circle.
The circle on the line joining the internal and external centres of similitude as diameter is named the " circle of similitude."
A. vernalis (Ox-eye) is a handsome alpine herb, forming dense tufts 8 inches to 15 inches high, of finely-divided leaves in whorls along the stems, blooming in spring, with large, yellow, Anemone-like flowers, 3 inches in diameter.
The leaves are 5 to 7 inches long, with flowers of a rich blood-red color borne in a compact truss 4 inches or more in diameter.
Its flower-heads, each from 3/4 inch to 1 inch in diameter, are borne on slender stems 1 to 2 inches high from June to September.
Frost Grape (Vitis Cordifolia) - A vigorous Vine with thin, three-lobed leaves, measuring 3 to 6 inches in diameter, the lobes ending in a long, fine point.
The finest specimens are occasionally nearly 100 feet in diameter in spread of branch.
There are single and double-bloom varieties, and the flowers are small, usually about one and a half inches in diameter.
A good rule of thumb is that seeds should be at a depth of three to four times the diameter of the seeds.Using you spray bottle or mister, moisten the soil.
Grape vine roots can spread out in a circle as large as six feet in diameter, so make sure you plant vines well away from underground wires, pipes, and other things that roots can interfere with.
With females sometimes getting larger in diameter than an average quarter, their size and bright, striking coloration can make them appear almost tropical.
As they grow, spiderlings build increasingly larger webs at ever greater heights, until they reach maturity and construct their trademark two-foot diameter web between tree limbs, tall grasses or other suitably elevated, sunny location.
Ore weaver spiders are remarkable for the beautiful, complex webs they spin daily, each reaching up to two feet (60 cm) in diameter.
Then the plants produce shoots about the same diameter as those you see in the grocery store.
A 10-foot by 10-foot room needs a light at least 17 inches in diameter with a minimum 150 watts of illumination.
When ordering your replacement window, choose one of equal size or one that is ¼ inch smaller in diameter to your existing window.
Circular rings are measured in diameter as well as thickness.
A very popular endless hoop style is the 14 karat white gold earring measuring 1.5 x35 millimeters, or approximately 1/15 inch in thickness and 1 3/8 inches in diameter.
Beautiful white gold pendants from Sorella Jewelry Studio depict the image of a monkey on disc measuring 3/4 inch in diameter.
High velocity lenses don't break, chip or crack when hit with a quarter-inch diameter steel ball moving at a speed of 150 feet per second.
To pass this test, the lens must not break, chip or crack upon being hit with a one-inch diameter steel ball dropped from a height of 50 inches.
A pharyngometer measure the diameter and stability of a patient's airway and uses these measurements to find the areas of obstruction.
In this way, the dentist is able to find the jaw position that keeps the airway the stablest and maintains the highest possible airway diameter.
The rods are approximately 18mm in length and 2mm in diameter.
They come in strengths from plano to -6.00 and in a diameter of 14.
An eye care professional will fit you for the proper diameter and base curve used for lenses.
Each vial contains one plano lens with a base curve of 8.6 and a diameter of 13.9.
They have a base curve of 8.6 and a diameter of 14.5.
Their median base curve and a 14.5 millimeter diameter are similar to those of other lenses.
The small discs are only a few inches in diameter and have a capacity of approximately 1.5 gigabytes.
The game was programmed on an oscilloscope that had a screen only five inches in diameter.
The tiny cutters fit into the tin which measures just two inches in diameter.
It's common to find an antique library light fixture that is two to three feet in length and up to 18 inches in diameter.
These are patches of tan or light brown skin, usually about 5 to 15 mm in diameter.
The baclofen pump is a round, titanium disc about one inch thick and about three inches in diameter.
Hypotonia can be assessed because muscle fibers have a smaller diameter than that of normal muscle.
Males and females are about 5 mm and 10 mm long, respectively, with the diameter of a strand of thread.
Cylinder-shaped toys of 1-inch (2.5-cm) diameter (the size of a regular hot dog) are the most dangerous size because they can occlude the trachea (windpipe) if they are aspirated.
Each bronchus divides into tubes of smaller and smaller diameter, finally ending in the terminal bronchioles.
The sponge is made of soft polyurethane foam that is approximately one-half inch in thickness by two inches in diameter.
It measures about 10 inches in length and one inch in diameter.
This effect may reduce your blood pressure by preventing the formation of plaque on the inner linings of your blood vessels, reducing their diameter and thus increasing your blood pressure.
Notwithstanding the rude character of the apparatus at his disposal, Horrocks was enabled by his observation of it to introduce some important corrections into the elements of the planet's, orbit, and to reduce to its exact value the received estimate of its apparent diameter.
In the succeeding three definitions the centre, diameter and the semicircle are defined, while the third postulate of the same book demands the possibility of describing a circle for every " centre " and " distance."
A system coaxal with the two given circles is readily constructed by describing circles through the common points on the radical axis and any third point; the minimum circle of the system is obviously that which has the common chord of intersection for diameter, the maximum is the radical axis - considered as a circle of infinite radius.
All exact relations pertaining to the mensuration of the circle involve the ratio of the circumference to the diameter.
Accordingly, we find in Vieta a formula for the ratio of diameter to circumference, viz.
Qui in vita sua multo labore circumferentiae circuli proximam rationem ad diametrum invenit sequentem quando diameter est I turn circuli circumferentia plus est quam 100000000000000000000000000000000000 et minus 314159265358979323846264338327950289 100000000000000000000000000000000000..
A given straight line being viewed as equal in length to the circumference of a circle, he sought to find the diameter of the circle.
The diameter sought is the straight line from A to the limiting position of the series of B's, say the straight line AB co.
The generality of treatment is indeed remarkable; he gives as the fundamental property of all the conics the equivalent of the Cartesian equation referred to oblique axes (consisting of a diameter and the tangent at its extremity) obtained by cutting an oblique circular cone in any manner, and the axes appear only as a particular case after he has shown that the property of the conic can be expressed in the same form with reference to any new diameter and the tangent at its extremity.
The quantity of mercury or shot inserted depends upon the density of the liquids for which the hydrometer is to be employed, it being essential that the whole of the bulb should be immersed in the heaviest liquid for which the instrument is used, while the length and diameter of the stem must be such that the hydrometer will float in the lightest liquid for which it is required.
This error diminishes as the diameter of the stem is reduced, but is sensible in the case of the thinnest stem which can be employed, and is the chief source of error in the employment of Nicholson's hydrometer, which otherwise would be an instrument of extreme delicacy and precision.
According to race, &c., they vary considerably in size and weight, but on an average they measure from an inch to an inch and a half in length, and from half an inch to an inch in diameter.
Sir Thomas Wardle of Leek, in his handbook on silk published in 1887, showed by a series of measurements that the diameter of a single cocoon thread or bave varied from o oth to -nth part of an inch in diameter in the various species of Bombycides, whilst those of the Saturnides or wild species varied from - 0 oth to 3-0 0 th part of an inch.
Proposition 30 describes the construction of a curve of double curvature called by Pappus the helix on a sphere; it is described by a point moving uniformly along the arc of a great circle, which itself turns about its diameter uniformly, the point describing a quadrant and the great circle a complete revolution in the same time.
The two branched tentacles (TB) are seen partially extruded from their sheaths (TS); when fully extended they exceed the diameter of the animal five or six times.
The only relic of the ancient town now visible above ground is a small portion (four columns, lower diameter 7 ft.) of a Doric temple, the date of which (whether before or after 480 B.C.) is uncertain.
For first-class work, however, and especially in steel concrete, it is customary to reject very large stones, and to insist that all shall pass through a ring a of an inch in diameter.
The building consisted of a circular Ionic colonnade (of eighteen columns), about 15 metres in diameter, raised on three steps and enclosing a small circular cella, probably adorned with fourteen Corinthian half-columns.
The impurity of the colours (due partly to the sun's diameter, but still more to oblique refraction) is more marked in halos than in rainbows; in fact, only the red is at all pure, and as a rule, only a mere trace of green or blue is seen, the external portion of each halo being nearly white.
In creased length necessitated an increase in the diameter of the main tube to limit the amplitude of the vibrations caused by being pushed through the water.
It appears, then, that, confronted with the "problem of ascertaining the relative diameter of the particles of which, he was convinced, all gases were made up, he had recourse to the results of chemical analysis.
Assuming the materials to be of equal tensile strength per unit of area - hard-drawn copper is stronger, but has a lower conductivity - the adoption of aluminium thus leads to a reduction of 52% in the weight, a gain of 60% in the strength, and an increase of 26% in the diameter of the conductor.
This slit is long enough (82 in.) to extend entirely across the solar image and across such prominences of ordinary height as may happen to lie at the extremities of a vertical diameter.
The seeds of the different cultivated varieties, of which there are a great number, differ much in size and in external markings; but average seeds are of an oval laterally compressed form, with their longest diameter about four lines.
Our modern diminutive " horsetails " with scaly leaves were represented in the Carboniferous period by gigantic calamites, often with a diameter of I to 2 ft.
The simpler mycelia consist of hyphae all alike and thin-walled, or merely differing in the diameter of the branches of various orders, or in their relations to the environment, some plunging into the substratum like roots, others remaining on its surface, and others (aerial hyphae) rising into the air.
The indirect process once established, the gradual increase in the height and diameter of the high furnace, which has lasted till our own days, naturally went on and developed the gigantic blast furnaces of the present time, still called " high furnaces " in French and German.
In limiting the diameter at the tuyeres to 122 ft., the height of the boshes to one which will keep their upper end below the region of pastiness, and their slope to one over which the burning coke will descend freely, we limit the width of the furnace at the top of the boshes and thus complete the outline of the lower part of the furnace.
When we have thus fixed the height of the furnace, its diameter at its ends, and the slope of its upper and lower parts, we have completed its outline closely enough for our purpose here.
The shape which the molten metal under treatment has in the Kjellin furnace, a thin ring of large diameter, is evidently bad, inconvenient for manipulation and with excessive heat-radiating surface.
The number of great shafts for marine engines, reaching a diameter of 22k in.
Moreover, a single pair of rolls suffices for armour plates of any width or thickness, whereas if shafts of different diameters were to be rolled, a special final groove would be needed for each different diameter, and, as there is room for only a few large grooves in a single set of rolls, this would imply not only providing but installing a separate .set of rolls for almost every diameter of shaft.
The diameter is only a few feet less than that of St Peter's in Rome.
If the thickness of the glass is small compared with the diameter of the tube, say one-tenth, equation (1) may be applied with sufficient approximation, the area A being taken as the mean between the internal and external surfaces.
It had a diameter of 4 in., and a length of 4 ft.
This consists of a mirror about half an inch in diameter, which, when it is suspended as shown in fig.
Other species, especially the alligators, make a very large nest of leaves, twigs and humus, scraping together a mound about a yard high and two or more yards in diameter.
But the volume of the cell is not appreciably altered, despite the change of its shape, for its one diameter increases in proportion as its other is diminished.
Moreover they contain no cambium and the stem once formed increases in diameter only in exceptional cases.
Any line parallel to the axis is a diameter, and the parameter of any diameter is measured by the focal chord drawn FIG.
An equation of similar form is obtained when the axes of co-ordinates are any diameter and the tangent at the vertex.
The diameter increases with the size of the globules making up the mist.
Wampum was of two colours, dark purple and white, of cylindrical form, averaging a quarter of an inch in length, and about half that in diameter.
James Bradley, on 27th December 1722, actually measured the diameter of Venus with a telescope whose objectglass had a focal length of 2124 ft.
Also the diameter of the pencil or parallel rays emerging from the eye-lens to the diameter of the object-lens inversely as, the magnifying power of the telescope.
Hence one of the best methods of determining the magnifying power of a telescope to measure the diameter of the emergent pencil of rays, after the FIG.
The driving circle was greatly increased in diameter and placed at the upper end of the polar axis, and both the polar and declination axes were made much stronger in proportion to the mass of the instrument they were designed to carry.
By making the mirrors of silvered glass, one-fourth of their diameter in thickness, the Henrys have not only `.
In all these types the longer the telescope and the greater its diameter (or weight) the more massive must be the mounting and the greater the mechanical difficulties both in construction and management.
Its chief crest forms an elongated ring and encloses a crater over half a mile in diameter and with walls 350 ft.
Nearly 25 metres higher up still is the lantern, with a gallery 5 metres in diameter.
The dimensions of the Algol system have been calculated, with the result that Algol appears to have'a diameter of 1,000,000 m.
The Hercules cluster is of this form; another example is Centauri, in which over 6000 stars have been counted, comprised within a circle of about 40' diameter.
Its motion of 8.7" per year would carry it over a portion of the sky equal to the diameter of the full moon in about two centuries.
The breadth of the penumbra when the source and screen are nearly equidistant from the opaque body is equal to the diameter of the luminous source.
The tree yucca often attains a height of 20 to 25 ft., and a diameter of 1.5 ft.
These noble trees attain very often a height of more than 300 ft., frequently of 350 and even more, and a butt diameter of more than 15 to 20 ft., with clean, straight fluted trunks rising 200 ft.
The average height is about 275 ft., and the diameter near the ground 20 ft.; various individuals stand over 300 ft., and a diameter of 25 ft.
The scale values of the records given by the horizontal and vertical force magnetographs are determined by deflecting the respective needles, either by means of a magnet placed at a known distance or by passing an electric current through circular coils of large diameter surrounding the instruments.
The crannog of Cloonfinlough in Connaught had a triple stockade of oak piles, connected by horizontal stretchers and enclosing an area 130 ft., in diameter, laid with trunks of oak trees.
The line of the equinoxes is the imaginary diameter of the celestial sphere which joins them.
It possesses thi property that the radius of gyration about any diameter is half thi distance between the two tangents which are parallel to that diameter, In the case of a uniform triangular plate it may be shown that thi momental ellipse at G is concentric, similar and similarly situatec to the ellipse which touches the sides of the triangle at their middle points.
As an example of this latter type, suppose that a sphere is placed on the highest point of a fixed sphere and set spinning about the vertical diameter with the angular velocity n; it will appear that under a certain condition the motion of G consequent on a slight disturbance will be oscillatory.
In the case of the towers, the depth of the joint is to be understood to mean the diameter of the tower.
When one is of considerably greater diameter than the other, the larger is commonly called in practice a wheel, the name screw being applied to the smaller only; but they are nevertheless both screws in fact.
Eccentric.An eccentric circular disk fixed on a shaft, and used to give a reciprocating motion to a rod, is in effect a crank-pin of sufficiently large diameter to surround the shaft, and so to avoid the weakening of the shaft which would arise from bending it so as to form an ordinary crank.
Hence the instantaneous axis of the sheave FG is in the diameter FG, at the distance FG ACBC
Cavendish compared the capacity of different bodies with those of conducting spheres of known diameter and states these capacities in " globular inches," a globular inch being the capacity of a sphere 1 in.
The diameter of a chemical atom is of the order of z07 centimetre.
The first water-jacketed cupola which came into general use was a circular inverted cone, with a slight taper, of 36 inches diameter at the tuyeres, and composed of an outer and an inner metal shell, between which water circulated.
Each layer of rove increases the diameter of the material on the bobbin shank; hence, at the beginning of each layer, the speed of the bobbin must be increased, and kept at this increased speed for the whole traverse from top to bottom or vice versa.
Let R = the revolutions per second of the flyer; r = the revolutions per second of the bobbin; d = the diameter of bobbin shaft plus the material; L = the length of sliver delivered per second; then (R - r) d.
By using a quartz fibre of about half the above diameter the sensitiveness was much increased.
In the great fir forests of the north the limit set in respect of cutting down living trees for sawing and export is a diameter of the trunk, without bark, of 84 in.
Growing to a height of from 40 to 80 ft., the deeplyfurrowed trunk occasionally reaches a diameter of 3 ft.
Thus a continued fraction equivalent to 7r (the ratio of the circumference to the diameter of a circle) is I I I I II 3+ 7+15+7+292+i-1-i+ ..
The rate of growth of the young oyster is, roughly speaking, an inch Of diameter in a year, but after it has attained a breadth of 3 in.
Judged by the diameter of the drums, the columns of the Croesus temple were not two-thirds of the height of those of the Hellenistic temple.
The new columns were of greater diameter than the old and over 60 ft.
The bark is thick and furrowed, and of a pale fawn colour internally; the rootlets are few, and the root itself is of larger diameter than in the other kinds.
It Appears That When The External Diameter Exceeds A Certain Value, The Weight Of A Drop Of Water Is Sensibly Different In The Two Extreme Cases Of A Very Small And Of A Very Large Bore.
For All Fluids And For All Similar Tubes Similarly Wetted, The Weight Of A Drop Would Then Be Proportional Not Only To The Diameter Of The Tube, But Also To The Superficial Tension, And It Would Be Independent Of The Density.
In all these cases the internal pressure exceeds the external by 2T/a where a is the semi-transverse axis of the conic. The resultant of the internal pressure and the surface-tension is equivalent to a tension along the axis, and the numerical value of this tension is equal to the force due to the action of this pressure on a circle whose diameter is equal to the conjugate axis of the ellipse.
The resultant of the internal pressure and the surface-tension is equivalent to a pressure along the axis equal to that due to a pressure p acting on a circle whose diameter is the conjugate axis of the hyperbola.
When a liquid flows out of a vessel through a circular opening in the bottom of the vessel, the form of the stream is at first nearly cylindrical though its diameter gradually diminishes from the orifice downwards on account of the increasing velocity of the liquid.
Thus, if d= 1, q -1 -= -115; or for a diameter of one centimetre the disturbance is multiplied 2.7 times in about one-ninth of a second.
For example, if the diameter be one millimetre, the disturbance is multiplied 1000 fold in about one-fortieth of a second.
The smaller the causes by which the original equilibrium is upset, the more will the cylindrical mass tend to divide itself regularly into portions whose length is equal to 4.5 times the diameter.
When the head is given, Savart found the length to be proportional to the diameter of the orifice.
The pitch of the note, though not absolutely definite, cannot differ much from that which corresponds to the division of the jet into wave-lengths of maximum instability; and, in fact, Savart found that the frequency was directly as the square root of the head, inversely as the diameter of the orifice, and independent of the nature of the fluid - laws which follow immediately from Plateau's theory.
From the pitch of the note due to a jet of given diameter, and issuing under a given head, the wave-length of the nascent divisions can be at once deduced.
Reasoning from some observations of Savart, Plateau finds in this way 4.38 as the ratio of the length of a division to the diameter of the jet.
The diameter of the orifice was 3 millims., from which that of the jet is deduced by the introduction of the coefficient 8.
In one experiment the jet issued horizontally from an orifice of about half a centimetre in diameter, and almost immediately assumed a rippled outline.
The diameter of the jet may be about 2b in., and it may issue from a glass nozzle.
If h is the height to which the liquid will rise in a capillary tube of unit radius, then the diameter of the largest orifice is 2a =3.8317 A / (2h) = 5.4188-J (h).
Such filaments are not always of the same diameter throughout, and their segmentation varies considerably.
The specimen was cultivated in broth, and spores are drawn a little too small - they should be of the same diameter transversely as the segments.
If the radius of the rolling circle be one-half of the fixed circle, the hypocycloid becomes a diameter of this circle; this may be confirmed from the equation to the hypocycloid.
It has a flat cast-iron bottom, 5 feet in diameter, and wooden sides about 30 inches high, the lower parts of which are lined with cast-iron.
Shell curved with greatest diameter at anterior aperture and diminishing gradually to posterior.
Nearly half of the power of the engines was lost in the screw slip. This showed that the diameter of the screws was not great enough; it should have been at least 22 ft.
Making about 1200 revolutions a minute, it developed about 24 horse-power, and was connected by chain gearing to two wooden propellers, 21metres in diameter and 31 metres apart, the speed of which was about 450 revolutions a minute.
The genital papilla of the female acquires a great development during the breeding season and becomes produced into a tube nearly as long as the fish itself; this acts as an ovipositor by means of which the comparatively few and large eggs (3 millimetres in diameter) are introduced through the gaping valves between the branchiae of pond mussels (Unio and Anodonta), where, after being inseminated, they undergo their development, the fry leaving their host about a month later.
The cartesian equation, referred to the fixed diameter and the tangent at B as axes may be expressed in the forms x= a6, y=a(I -cos 0) and y-a=a sin (x/afir); the latter form shows that the locus is the harmonic curve.
On the islands of the Alexander Archipelago and on Prince William Sound it grows to gigantic size; even on the Koyukuk and the middle Yukon it attains in places a diameter of 2 ft.
The largest bamboo recorded is 170 ft., and the diameter is usually reckoned at about 4 in.
In Glyptodon (with which Schistopleurum is identical) the tailsheath consists of a series of coronet-like rings, gradually diminishing in diameter from base to tip. Daedicurus, in which the tailsheath is in the form of a huge solid club, is the largest member of the family; in Panochthus and Sclerocalyptus (Hoplophorus) the tail-sheath consists basally of a small number of smooth rings, and terminally of a tube.
If cast-iron pillars are used, each successive pillar shall be bolted to the one below it by at least four bolts not less than three-fourths of an inch in diameter, and the beams and girders shall be bolted to the pillars.
Stems and roots increase in diameter by secondary thickening, the secondary wood being produced by one cambium or developed from successive cambium-rings.
The stout columnar stem may reach a height of 20 metres, and a diameter of half a metre; it remains either unbranched or divides near the summit into several short 4'`.C.
In size they vary between wide limits, from minute sparkling points encrusting rock surfaces and often so thickly clustered together as to produce a drusy effect, to large single crystals measuring a yard in length and diameter and weighing half a ton.
The main ridge runs north and south along the line of the greatest diameter, and from the heights descend many torrents, the v% hole island being well watered.
Hence if the sun's diameter were measured through differently coloured screens, the violet disk must appear greater than the red.
Better determinations of the actual value came from the heliometer, and gave an angular diameter of 31' 59.26" =0.10", and the value of the polar diameter exceeded the equatorial by 0.038" =0.023".
Using the parallax 8.80", the resulting diameter of the sun is 864,000 m.
Auwer's discussion of the sun's diameter is in the discussion of the transit of Venus observations for 1874 and 1882.
We cannot do this, but of happily the grains in a sand formation differ very widely in diameter, and if, from the interstices between the larger grains in the neighbourhood of an orifice, we can remove the finer grains, the resistance to flow of water is at once enormously reduced.
The brushes have the same diameter, but one is much longer than the other, and they move independently of one another.
The diameter of the middle part of the cylinders is greater than that of the ends, and the bands from the vertical rod are led over the middle part.
The grooves must be turned exactly alike, and the rope must be of the same diameter throughout to diminish slip.
For a single pulley of diameter D, turning on a fixed pin of diameter d, the relation of the effort E to the load W, where f is the coefficient of friction, is expressed by E/W = (D-pfd)/(D - fd) _ 1 +2fd/D approximately.
A spur pinion D, gearing with both wheels, is carried loosely upon an eccentric E forming part of the central pin, so that when this latter is turned by the hand-wheel F and chain G the axis of the pinion describes a circle the diameter of which equals the throw of the eccentric, and a small relative motion of the two sheaves takes place, depending on the number of the teeth of the annular wheels.
The Diameter of the first or innermost was about three Degrees, and that of the second about five Degrees and an half.
It was elliptical, and its long Diameter was perpendicular to the Horizon, verging below farthest from the moon."
Nephelium Longana, the longan tree, also a native of southern China, is cultivated in that country, in the Malay Peninsula, India and Ceylon for its fruit, which is smaller than that of the litchi, being half an inch to an inch in diameter with a nearly smooth yellowishbrown brittle skin, and containing a pulpy aril resembling that of the litchi in flavour.
The gas enters in the centre, and to make its escape again it has to pass into long wrought iron inverted troughs through perforations one-twentieth of an inch in diameter.
The telescopic form consists of two or more lifts which slide in one another, and may be described as a single lift holder encircled by other cylinders of slightly larger diameter, but of about the same length.
In the year 1892 the largest existing gasholder was built at the East Greenwich works of the South Metropolitan Gas Company; it has six lifts, its diameter is 293 ft., and when filled with gas stands 180 ft.
Though specially developed in the cork-oak, the substance cork is an almost universal product in the stems (and roots) of woody plants which increase in diameter year by year.
Uranus was recognized specula of continually augmented size, up to a diameter 4 p pp Herschel.
We have next to conceive that, as the earth performs its annual revolution round the sun in an orbit whose diameter, as represented on the diagram, is nearly 40 ft., it carries the orbit of the moon with it.
These points are at the ends of that diameter of the orbit which passes through the eccentrically situated earth, or, in other words, they are on that line which passes through the centre of the earth and the centre of the orbit.
It is generally nodular, and forms rounded or highly irregular masses which may be several feet in diameter.
In the accompanying cut we have endeavoured to portray this map. The projection adopted is a perspective of the hemisphere as viewed from a point at the distance of one diameter from the surface, and situated on the production of.
The section made by a plane containing the axis and perpendicular to the base is a triangle contained by two generating lines of the cone and a diameter of the basal circle.
The points in which the cutting plane intersects the sides of the triangle are the vertices of the curve; and the line joining these points is a diameter which Apollonius named the latus transversum.
Then the square of the ordinate intercepted between the diameter and the curve is equal to the rectangle contained by the portion of the diameter between the first vertex and the foot of the ordinate, and the segment of the ordinate intercepted between the diameter and the line joining the extremity of the latus rectum to the second vertex.
The conics are distinguished by the ratio between the latus rectum (which was originally called the latus erectum, and now often referred to as the parameter) and the segment of the ordinate intercepted between the diameter and the line joining the second vertex with the extremity of the latus rectum.
If the instrument has a sensible lens diameter, and is arranged so that the centre of rotation of the eye can coincide with the intersection of the principal rays, the lens can then form with the eye a centred system.
Losses due to absorption are almost zero when the lenses are very thin, as with lenses of small diameter.
For lenses of short focus the diameter of the pupil is too large, and diaphragms must be employed which strongly diminish the aperture of the pencils, and so reduce the errors, but with a falling off of illumination.
If the aperture of the objective is increased, the diameter of the illuminating surface must also be increased so that the system is quite filled up, from which it follows that this method of illuminating soon fails.
Pollen-grains vary from a o 0 - to o-y of an inch or less in diameter.
The megaspores, of which there are many in the megasporangium, have a diameter about three times that of the microspores.
The stem is articulated and branched, attaining a diameter of about 10 cm.
In the genus Lepidophloios the leaf-cushions are more prominent than in Lepidodendron, and their greatest diameter is in the transverse direction; on the older stems the leaf-scar lies towards the lower side of the cushion.
This pipe, called a penstock, ranged from forty-four inches down to two feet in diameter and paralleled the Uncompahgre River far above its torrent as it coursed down the deep gorge.
The penstock, three feet in diameter at this point, was a long black snake, carrying its mountain water to the small generating station, while adjacent black piping and frequent taps provided the ice that coated the cliff sides in gigantic clusters below.
The smallest tip is 3.5 mm in diameter and is used mainly for laser acupuncture and irradiation of trigger points.
When using toughened glassy adhesives, rods with a reduced diameter section at the bonding faces are used.
In 1937 another radio engineer, Grote Reber, began work with a parabolic reflector antenna 9.7 m in diameter.
The risk of invasive cancer becomes appreciable once the polyp diameter has exceeded 1cm.
The largest of these, F440, measured 1.1m in diameter, and up to 0.5m in depth, and contained two distinct backfills.
The large splash tray can accommodate wheel batts up to 360mm (14 ") diameter.
The tiles can be clipped onto a 8mm diameter steel rod, rope or nailed onto a wooden batten.
The increase in resolution was sufficent to measure for the first time the diameter of the bright, red giant star Betelgeuse.
The larger diameter collagen fibers formed from Type I collagen are not blackened by silver.
Since writing the above I have been able to source a suitable phosphor bronze rod of diameter 1 1/8 inches from Classic Marine.
It features a stainless steel burner, a 520mm diameter reflector, a protective chrome wire guard, an anti-tilt switch and piezo ignition.
Construction of the foundations required the sinking of eight 25m deep 9.9m diameter caissons.
Katla volcano rises to 1500 m height and has a 10-km diameter caldera.
The Atlantic Sprint features large 260 mm diameter front disks with a triple parallel piston floating caliper and a 220 mm rear disk.
The center of the soup bowl had large cauliflowers in and different colored tree bark was used to do all the two-foot diameter nuts.
The single gear is about 46.5 inches - a 42 tooth chainwheel driving an 11 tooth sprocket with a 12.2 inch rolling diameter.
Normally thought of as the ratio of a circle's circumference to its diameter, pi keeps turning up in odd places.
The post mounting clamp supplied enables the antenna to be fixed to a suitable horizontal or vertical post of up to 20mm diameter.
The unique universal clamp will fit any table with a parasol hole 30-60mm in diameter.
The surface coccoliths are circa 4.2 microns in diameter.
Meat with large diameter collagen fibers tends to be tougher than meat with thinner collagen fibers tends to be tougher than meat with thinner collagen fibers.
In a true colloid, the particles range in size from about 0.01 to 0.001 of a micron in diameter.
The core plug was positioned in its hole and flattened out - not concave - with a dolly about 1.5 " diameter.
Naturally occurring holes in the wall of a latex condom have a diameter of 1.0 microns.
Particles in the range of 5 to 25 nm diameter will be produced in the IGC facility in both natural and forced convection.
These are carried by tubing, usually PVC coated 1/4 or 3/8 inch diameter copper tubing.
Again following deflation, the diameter was 13mm with two ridges, an increase in diameter size of 5mm.
At the onset of soot inception, the PSDF was found to follow a power-law dependence on particle diameter.
Surgery is offered when the aortic diameter exceeds 55 mm.
I have a similar brass check also 25mm diameter with the same peculiar punched logo.
If the cutter is exactly 6mm diameter, the tenon will be 10mm wide.
I cannot show some images directly from my scope unfortunately because I don't own the 30mm diameter Zeiss phase telescope.
The minimum requirement of chimney is 200mm diameter and a minimum height of 7 meters.
The object was about the apparent size (angular diameter) of the full moon.
These branches or trunks must be of 30 cm diameter at least.
In the most infected areas sclerotial size varied widely, in the range 0.1 to 1.0 mm diameter.
This IRIS simulation for 24 micron diameter droplets matches the ring size.
Tyvek® Classic Plus fabric has a tightness level for particles down to 1 µm diameter.
The largest diatom on the picture measures about 200 microns in diameter.
This must be of a material which is opaque to thermal infra-red; the approximate dimensions are 13mm length by 5mm diameter.
Prevent the use of any external optics that could decrease the beam divergence or its diameter.
Remove the assembly from the lathe and glue a short piece of 3/8in diameter dowel in the hole.
Connection via the âRâ type adaptor (not supplied) can accommodate up to 150mm diameter ductwork.
Only bodies 1km diameter actually impact, and the dispersion of secondary ejecta is suppressed.
Using the ellipse Tool, create a circular ellipse roughly 20 pixels in diameter on the left edge of the stage.
Great for all general applications they feature fully multicoated lenses, good close focus and twist-type large diameter rubber eyecups for viewing comfort.
The aluminum tube has an outside diameter of 1 1/4 inches to suit standard telescope eyepiece sizes.
The E5 Headstock (left) was also offered as a stand-alone bench unit for large diameter faceplate work.
In normal ferritin, a rigid protein shell surrounds an 8 nm diameter cavity, part-filled with non-magnetic ferrihydrite.
Meat with large diameter collagen fibers tends to be tougher than meat with thinner collagen fibers.
Electron microscopy reveals that elastic fibers are composed of bundles of small fibrils approximately 11 nm in diameter embedded in an amorphous material.
They had 16 " x 24 " cylinders, 6ft diameter driving wheels, domeless boilers and raised firebox.
The very first issues were made on small diameter thick flans, and are now know as " dump " issues.
A small mound, 1 foot high and 14 feet in diameter containing one cremation with six calcined flints.
The black funnel is in fact a 50 foot steel tube, some four feet in diameter, sealed at the top.
It produces large fleshy galls up to 7cms in diameter on the leaves.
With the single 100mm internal diameter rainwater drain pipe a 150mm internal diameter rainwater gutter would be needed.
Most 31 were 5 mm diameter but there were 3 days that had hailstones of 5 mm, or more.
There were 5 days when hail or 5mm, or more, were observed including 10-15mm diameter hailstones on 20th August.
The " oil in frame " twin that carried the disk brake fork used the small diameter steering stem and taper roller headraces.
They are each about 10m high, over one meter in diameter, and like everything else in the hotel they are hand hewn.
On the top of a small hillock near the center of the bay is a small circular cairn 36 feet in diameter.
It can reach 50m long and have a holdfast (the bit it sticks to the rocks with) 1m in diameter.
Having found the best location, start digging a hole about 4 feet in diameter.
At the center of the receive coil is an 18 turn spiral inductor, with an innermost diameter of approximately 46mm.
In a stellar interferometer, the light sources can be two stars, or light from opposite ends of a star along its diameter.
The particles are on average, 5 microns in diameter and contain dissolved metal ions.
Pour in a small ladle full of batter, enough to make a 1/2cm thick pancake of approx 10cm in diameter.
The effective diameter of the fiber is also reduced through leaching of minerals from the surface layer.
It was the approximate size of a dust bin lid, say 80 cm in diameter.
The washbacks are new and are 18 feet in diameter and 18 feet deep holding 65,000 liters of worts.
This provides a more severe test than the 3.2 mm minimum diameter of the conical mandrel.
The use of threaded mandrel screwdriver tools, as for plain mandrel screwdrivers, is also limited to free running reduced diameter inserts.
The uniquely designed silencer and large diameter mandrel bent piping reduce all unnecessary back pressure, resulting in unparalleled power gains.
They started as large disks up to 20 inches in diameter holding just a few megabytes.
The LMT consists of a 3 m diameter parabolic dish that holds four gallons of liquid mercury.
The smallest detected metastasis was a micrometastasis with a diameter of 0.9 cm.
Fireballs are caused by meteors a few centimeters in diameter and can leave tails that persist for several minutes.
The cave is dark at all hours and has 15 meters in diameter and 20 meters in diameter and 20 meters in height.
The trapped objects in Figure 6 are polystyrene microspheres, 2 m m in diameter.
The larger mihrab is circular both internally and externally, with an internal diameter of 2.85 meters.
A circular mil is the area of a circle with a diameter of 1 mil.
Here you will find the four pairs of 4ft diameter French millstones.
The M2 mirror is a convex hyperbolic mirror with an external diameter slightly in excess of 1 meter.
The mass measured up to 6.0 mm in base diameter and 2.5 mm in thickness in proper gaze.
The bottom quarter round infill is made from a 50mm wide thin molding, then routered to the diameter of the window frame.
The heavy, blunt-nosed lead bullet, nearly half an inch in diameter, had a muzzle velocity of 600ft per second.
Potato cyst nematode cysts are only 0.5 mm in diameter on average.
It is driven round by the water pressure of the 2 side komet nozzles, The top komet nozzles have a 10mm diameter outlet.
There was also a dead 26 " diameter Rhizostoma octopus on the beach.
The diameter of the disk is about the diameter of Pluto's orbit around the Sun.
A Fisherman's Knot is formed from two identical overhand knots pushed together but it is only suitable for small diameter ropes or twine.
The interconnection tunnel I was standing in seemed to have a larger diameter than a standard underground station foot passageway.
It has a diameter of some 40 miles with over 700 shallow patch reefs in its interior.
Each solitary flower of 2.5 to 3cm in diameter is produced on a very short pedicel with a number of pale brown papery scales.
On the 25mm diameter size there is an option to have a center micro perforation across the middle of the label.
For instance, you might wish to change the aperture diameter for the aperture photometry.
An object of diameter 1 meter would only improve the error to give pi to about 1 more decimal place.
You then divide the circumference by the diameter to get pi, with a calculator.
Anakin skywalker episode iii fx lightsaber by master replicas star wars master replicas prop replica from episode iii measures 44 x 2 diameter.
QinetiQ completed sea trials of a new 2.9 meter diameter composite propeller in Falmouth Bay during July 2003.
The diameter of the screw propeller is two feet six inches with a four foot pitch.
Spread The diameter of a diamond or the normal weight equivalent assuming ideal proportions.
The main drive pulley was 4.25 " in diameter and the rear idler pulleys, running on ball bearings, 3.5 " .
The means by which the Group plans to undertake its study is a new 2.6 meter diameter radio telescope.
Early gas retorts were made of iron in the form of a horizontal tube about 12 " in diameter.
Massive pre-glued 16cm diameter tire mounted on hardened chrome rims.
Machine the OD to fit the con rod including extra diameter for the press fit.
Platform Access 40mm diameter wooden rungs, Rock climbing face.
The risk of aneurysm rupture is related to aortic diameter.
The flowers grow up to 20cm in diameter with pink blooms in alkaline soils and blue blooms in acidic soils.
Tumor size was defined as maximum diameter of the tumor measured from the surgical specimen.
The body is approximately spherical up to 30 m m in diameter.
The shape of the planet is a markedly oblate spheroid with a polar diameter some 10% smaller than that at the equator.
Composition and manufacture All Multivent models are fitted with four extract 125 or 100mm diameter spigots, allowing quick connection to ducts.
To find the distance the strands should be unlaid for an eye splice, multiply the diameter of the wire by 36 inches.
The wire is normally provided on 2 inch diameter spools, the earlier small spools tending to feed wire with an intrinsic twist.
The upside-down fork has stanchions of 43 mm in diameter.
They've also got 32mm stanchions - same diameter as Vanilla, so just as stiff.
A smaller diameter steering wheel was fitted, and twin coachlines were introduced.
Watts ' current product offering of strainers focuses on small diameter strainers for plumbing applications.
The larger strainer allows debris like Koi waste or dead plants, up to 8mm in diameter, to pass through.
I've managed to shift some but there's still a circle about four inches in diameter that's proving very stubborn.
A partly subterranean dome about 10 meters in diameter, similar to the hogan of the Navajo, was the uniform shelter.
The squares were mounted on 12mm diameter sticky carbon tabs which in turn were mounted on 10mm diameter aluminum tabs.
A 100mm diameter, 500mm focal length refracting telescope was used, equipped with a solar filter.
The HET is one of the world's largest optical telescopes, with a primary mirror some 11 meters in diameter.
The heavily cratered terrain has numerous craters greater than 100 kilometers in diameter.
Each cheddar truckle is approximately 40cm in diameter, 30cm high, 25kg in weight and has a fat content of 48% .
Frame - Pre galvanized 60mm diameter steel tube of slot together design (10 pieces ).
The passage became tubular in cross section with a diameter of about 1.75m just before we reached the limit of previous exploration.
The lauter tun improves upon the mash tun in terms of surface area by increasing the diameter of the vessel.
These are made from 25 µm (or optionally 125 µm) diameter tungsten wires with 4 mm spacing.
The conventional domed tweeter is convex, with a voice coil of the same diameter.
Ventilation was provided by a network of four inch diameter glazed drainage pipes that came to the surface within the surrounding undergrowth.
Very many species produce similar spherical BS of about 0.5 micron in diameter with characteristic latticework surface, looking like giant clathrin-coated transport vesicles.
The CPR is towed on a 10mm diameter wire rope at a depth of about 10 meters.
The circle on AA' as diameter is called the auxiliarly circle; obviously AN.NA' equals the square of the tangent to this circle from N, and hence the ratio of PN to the tangent to the auxiliarly circle from N equals the ratio of the conjugate axis to the transverse.
Any diameter is a mean proportional between the transverse axis and the focal chord parallel to the diameter.
The whole system is constructed of wrought iron pipe of small diameter, strong enough to resist a testing pressure of z000 to 2500 lb per sq.
The conductor, which was a wooden casing of somewhat greater internal diameter than the maximum bore of the well, passed through the first of these divisions, and casing was used in the second to prevent percolation of water into the oil-bearing portion.
Experimentally (by extrapolation from the" law of the rectilinear diameter ") the critical volume is four times the volume at absolute zero (see Condensation Of Gases).
To find its scale divide the mean diameter of the earth (1,273,500 m.) by the diameter of the globe; to find its circumference multiply the diameter by Map Printing.
The diameter of the isthmus was 0.241 mm., and the electromagnet was excited by a current of 40 amperes.
Continued fractions, one of the earliest examples of which is Lord Brouncker's expression for the ratio of the circumference to the diameter of a circle (see Circle), were elaborately discussed by John Wallis and Leonhard Euler; the convergency of series treated by Newton, Euler and the Bernoullis; the binomial theorem, due originally to Newton and subsequently expanded by Euler and others, was used by Joseph Louis Lagrange as the basis of his Calcul des Fonctions.
The ratio between the limiting angles subtended by the periodic structure of the gauze and the diameter of the wire was (022/ 034) X (240/17) = 9 I.
If Q be on the circle described upon OA as diameter, so that u = a cos 4,, then Q' lies also upon the same circle; and in this case it follows from the symmetry that the unsymmetrical aberration (depending upon a) vanishes.
Any circular filament can be started from rest by the application of a circumferential impulse 7rpmdr at each end of a diameter; so that a mechanism attached to the cylinders, which can set up a uniform distributed impulse rpm across the two parts of a diameter in the liquid, will generate the vortex motion, and react on the cylinder with an impulse couple-pmira 2 and pm7rb 2, having resultant pm7r(b 2 -a 2), and this couple is infinite when b = oo, as the angular momentum of the vortex is infinite.
Thus the diameter of the Roman Doric should be about one-eighth of the height, that of the Ionic one-ninth, and of the Corinthian one-tenth (see Order).
The proof that the area of a circle is proportional to the square of its diameter would therefore precede the proof that the perimeter is proportional to the diameter; the former property is the easier to grasp, since the conception of the length of a curved line as the limit of the sum of a number of straight lengths presents special difficulties.
In some domes, for instance in a dome at the university of Birmingham, a sound from one end of a diameter is heard very much more loudly quite close to the other end of the diameter than elsewhere, but in St Paul's Lord Rayleigh found that " the abnormal loudness with which a whisper is heard is not confined to the position diametrically opposite to that occupied by the whisperer, and therefore, it would appear, does not depend materially upon the symmetry of the dome.
Rivet bars tested on a gauge length eight times the diameter must have a tensile strength of 26 to 30 tons per sq.
Rectification and quadrature of the circle have thus been, since the time of Archimedes at least, practically identical problems. Again, since the circumferences of circles are proportional to their diameters - a proposition assumed to be true from the dawn almost of practical geometry - the rectification of the circle is seen to be transformable into finding the ratio of the circumference to the diameter.
The conclusion from these therefore was that the ratio of circumference to diameter is 34 This is a most notable piece of work; the immature condition of arithmetic at the time was the only real obstacle preventing the evaluation of the ratio to any degree of accuracy whatever.5 No advance of any importance was made upon the achievement of Archimedes until after the revival of learning.
Single needles are never used, two being the least number, and these so arranged that the moment of inertia about every diameter of the card shall be the same.
Modern research has discovered no crab to surpass Macrocheira hampferi, De Haan, that can span between three and four yards with the tips of its toes, but at the other end of the scale it has yielded Collodes malabaricus, Alcock, "of which the carapace, in an adult and egg-laden female, is less than one-sixth of an inch in its greatest diameter."
The mass of the electron or corpuscle is 7 0 X1028 gramme and its diameter is 3 X I 013 centimetre.
The component S 1 of the system, situated between the aperture stop and the object 0, projects an image of the diaphragm, termed by Abbe the " entrance pupil "; the " exit pupil " is the image formed by the component S2 j which is placed behind the aperture stop. All rays which issue from 0 and pass through the aperture stop also pass through the entrance and exit pupils, since these are images of the aperture stop. Since the maximum aperture of the pencils issuing from 0 is the angle u subtended by the entrance pupil at this point, the magnitude of the aberration will be determined by the position and diameter of the entrance pupil.
There are two large circumvallate papillae near the base, rather irregular in form, about a quarter of an inch in diameter and half an inch apart.
It is wonderful with what elaborateness this simple fact is advertised--this piscine murder will out--and from my distant perch I distinguish the circling undulations when they are half a dozen rods in diameter.
The main drive pulley was 4.25 " in diameter and the rear idler pulleys, running on ball bearings, 3.5 ".
Another preoccupation of the Chinese was the evaluation of π ,the ratio of the circumference of a circle to its diameter.
The fruiting bodies are reddish in color with a cap 6-15 cm in diameter.
For a circular reflector dish of 80 square meters area, the diameter is 10 meters.
What is the diameter of the glass lens of the largest refracting telescope in the United Kingdom?
You may also recognize the low side by the fact that the refrigerant line is a larger diameter than the high side line.
Early gas retorts were made of iron in the form of a horizontal tube about 12 in diameter.
Minimum rim diameter to be 18 No width restrictions.
The 2.5 kW wind turbine has a 3.5 meter rotor diameter.
On the floor the earlier foundations of a round tower, of small diameter, can be traced.
In the average person, this occurs when the sagittal diameter of the spinal canal is less than 14 mm.
Although composed of a single crystal of calcite, a sea urchin plate exhibits a bicontinuous morphology with pores of diameter 10-15 micron.
For example, this collet can hold an imperial cutter with a shank diameter of ¼ inch, ie 6.35mm.
Artillery shell filled with shrapnel balls about 2cm in diameter.
Not guaranteed to repair tube splits, sidewall punctures, slashing or holes created by an object larger than 6mm in diameter.
I drilled a 10mm diameter hole into the side wall of the volute, slanted in the direction of rotation.
Each eggplant is very slender in shape and is approximately 2 inches in diameter and 6 to 9 inches in length.
The characteristic diameter of high spatial autocorrelation is much smaller for these rougher surfaces.
They were spherical with a diameter of 28 to 30 nm.
The largest of the 4-step spindle pulleys was 6.5 inches in diameter and took a 1 3/8 -wide belt.
Fig 2. Part of a blade of grass, about 4 mm diameter, covered with small sporangia of the slime mold Physarum cinereum.
They 've also got 32mm stanchions - same diameter as Vanilla, so just as stiff.
On sycamore leaves, it forms ' tar ' spot lesions, the number or diameter of which can be compared at different sites.
The HET is one of the world 's largest optical telescopes, with a primary mirror some 11 meters in diameter.
The boss area diameter was 4.8 mm, with a wall thickness of 1.2 mm.
Each cheddar truckle is approximately 40cm in diameter, 30cm high, 25kg in weight and has a fat content of 48 %.
This protection also extends to any trees that have a trunk diameter greater than 7.5cm at 1.5m above ground level.
Frame - Pre galvanized 60mm diameter steel tube of slot together design (10 pieces).
X, a kind of turret mounted on a base 32 inches in diameter, Fig.
My objective measures 5 2 / 10 English inches in diameter with its brass ring, the uncovered part measuring 4½ inches.
The threaded and unthreaded portions are both of one nominal diameter of 0.190 inch (5 mm) or larger.
You'll probably want the diameter of the rolled head support to be about two inches.
Decide on the diameter of the bottom layer, and then subtract one inch.
This applies to both pearl diameter and strand length.
The width of the wheel -- the part that actually touches the ground -- is fairly universal, but the diameter can vary substantially.
The fluffy tails that may measure up to eight inches in diameter or more, help the cats keep warm in cold weather as well as help them balance their hefty bodies in deep snow.
Pewter Mint Julep cups were inspired by the works of early craftsmen in the south.The cup is traditionally 6.5 inches tall, with a top diameter of 4 inches, a flat bottom and straight sides that flare only slightly at the top.
This table is 33 inches high and 48 inches in diameter.
Drill holes that are ¼ inch in diameter and ¼ inch from the end of the tubing.
This system requires holes about four inches in diameter to be drilled every 20 feet to a depth of 100-400 feet.
They can be used and transported with very little trouble, folding to two inches in diameter.
Weighs in at 36.75 pounds and is 32 inches in diameter.
A pollutant is extremely small, only two to ten microns in diameter, or less than one-seventh the size of a diameter of a strand of hair.
Once the glaze is up, use a brush that is at least 3 inches in diameter and paint little "x" marks in the glaze.
If the diameter is too wide a pocket curtain might not fit and the overall curtain effect may be too heavy for the window size.
The longer the width of the curtain rod, the larger the diameter of the support rod should be.
Polka dot wall stickers come in sizes ranging from only 5/8 inch across to more than three feet in diameter.
Double that result to get the diameter of the rug you need and again find your best manufacturer’s fit.
Esca surround lighted makeup mirrors contain light strips around the diameter of the mirror for full even lighting.
At less than three inches in diameter, this mirror stashes easily to go anywhere.
Additionally, note that this cushion is sixteen inches in diameter and varies between four to seven inches in height.
Mini stress reliever balls are much smaller than regular ones - about 1 1/2 inches in diameter.
Hives appear on the skin as a raised pink or red rash that is often oval shaped ranging in diameter from a few millimeters to several inches or more.
The vases should be 4 inches or more in diameter.
This thick, round pillow measures six feet in diameter and transforms into a foam chair when flipped onto its side.
Flatten it to about 1" thickness, and press it out to about 3" in diameter.
Many manufacturers recommend that magnets are approximately one inch in diameter, placed approximately four inches apart and no more than one inch from the top surface of the pad.
The finest is A. grandiflora (Pigmy Sunflower), a native of Colorado, an alpine plant with flower-heads 3 inches in diameter, growing from 6 inches to 9 inches high.
B. maximowiczi is a distinct and fine Japanese kind which grows very high and with a trunk 2 to 3 feet in diameter, the bark orange-colored, the leaves very large.
Weigelas make large bushes, 6 to 10 feet high and as much in diameter, and their graceful drooping branches are ornamental, even when leafless in winter.
About 9 inches high, with sparingly branched, succulent stems and glaucous leaves, covered with stiff hairs and short terminal racemes of flowers about half an inch in diameter, resembling in form that of Borage.
In its own land it makes a noble evergreen tree 90 to 100 feet high, with a trunk diameter of 4, 6, or even 8 feet in rare instances where the trees have endured for centuries.
These grow well as bushes, some of the first sometimes 10 feet, and as much in diameter.
Calopogon - C. pulchellus is a beautiful hardy Orchid suitable for boggy ground, the flowers pink, 1 inch in diameter, in clusters of two to six upon a stem, beautifully bearded with white, yellow, and purple hairs.
At Knockmaroon Lodge, near Dublin, a plant, 16 feet high, with a stem some 6 inches in diameter, annually flowered and bore an abundance of seeds, from which seedlings were easily raised in a cold frame.
Here it assumes a dense branching tree-like habit, and often produces flowers each over a foot in diameter.
The flowers are yellow, about 3 inches in diameter, nicely set off with the almost black disc.
The flowers, 2 to 3 inches in diameter, are pure white, with a bunch of yellow anthers in the centre; several borne on stems about 1 foot high.
Its showy flowers of pure white have a ring of bright orange-red, and measure 3 inches in diameter.
Eremurus Robustus - One of the best known in gardens, with a huge flower-stem 6 to 10 feet high, bearing a dense raceme of peach-shaped lilac flowers nearly 2 inches in diameter.
The flowers, of a bright magenta color, are rather smaller than those of maculata, but average 1 inch in diameter.
It grows about 5 feet high, the leaves are nearly round, the flowers in large clusters, bright rose-pink, about an inch in diameter, and open in early June.
Mantegazzianum, from the Caucasus, which attains to 6 to 7 feet high and a diameter of 8 to 10 feet.
The truss has its outer flowers sterile, and they are 1 inch or more in diameter; both they and the smaller ones that fill the centre are white.
Brittle Hairbell (Campanula Fragilis) - The young branches are coated with soft down; the flowering branches prostrate, 12 or 15 inches long; the flowers 1 inch or more in diameter, delicate blue.
Hemlock Spruce (Tsuga Canadensis) - A forest tree sometimes over 100 feet high, with a diameter of 4 feet in the trunk, inhabiting very cold northern regions from Nova Scotia to Minnesota and southwards along the mountains.
In the following April and May they will have become large plants, often 2 to 3 feet in diameter, and are then removed to where they are wanted to flower.
The unbranched flower-stalk is about 1 foot high, and bears at its apex a single violet-purple blossom, 2 to 3 inches in diameter.
It is a branching bush, with stems about 2 feet high, and many flowers 1 to 1 1/2 inches in diameter.
T. anemonoides (Rue Anemone) is usually only a few inches high, its white flowers being nearly 1 inch in diameter, and open in April and May.
Its blossoms, pure white and each about three-quarters of an inch wide, are followed by round, yellowish edible berries about half an inch in diameter.
America, with prostrate downy stems and clear yellow flowers, sometimes 5 inches in diameter, and borne freely.
Our plant covers a space fully 30 feet across, and consists of from twenty-five to thirty leaves, some of them over 9 feet in diameter, upon clear stems 8 feet high.
From two to four flowers are in the cluster, and each is about 1 1/4 inch in diameter, the free portions of the petals fully expanded.
The Halesia of the high slopes, however, is a tree often 80 or 90 feet high, with a trunk 3 feet in diameter, sometimes free of branches for a distance of 60 feet from the ground.
The placenta is pancake shaped and about 10 cm (25 cm) in diameter.
Presence of redness or swelling, especially over 5 mm (0.25 inch) in diameter, indicates an allergic response.
Congenital nevi are more apt to become cancerous than moles that develop after birth, especially if they are more than eight inches in diameter.
The rash typically occurs on the front of the lower leg or top of the foot, and appears as a red, warm, swollen area about 4-6 inches (10-15 cm) in diameter.
Atherosclerosis-A disease process whereby plaques of fatty substances are deposited inside arteries, reducing the inside diameter of the vessels and eventually causing damage to the tissues located beyond the site of the blockage.
These are tiny blisters, about 3-7 mm in diameter.
Piercing is performed quickly and without anesthesia by either a spring-loaded ear-piercing gun or piercing needles, with the needle diameter varying from six to 18 gauge.
It can clamp onto vertical or horizontal surfaces and measures four feet in diameter.
It has a tilt clamp to allow for easy adjustment and a diameter of 42 inches.
It is seven feet in diameter and weighs less than a pound, being made of washable parachute nylon.