# Lengths sentence example

lengths

- But you went to great lengths to help her.
- They went to great lengths to hurt you.
- These pairs of observations have shown a parallax from which the elevation of the objects above the earth, the lengths and directions of their courses, &c. could be computed.
- Wool coats are available in short, medium and long lengths.
- She tied the lengths of rope together and hunted for and found the perfect boulder in the cave: a loose, rounded rock the size of both her fists that was light enough for her to throw.Advertisement
- But a positive identity of pitch cannot be claimed for any period of time, and certainly not for the early organs; the foot-rule of the organ-builder, which had to do with the lengths of the pipes, and which varied in every country and province, could easily cause a difference of a semitone.
- Supported by the great authority of Haller, the doctrine of evolution, or development, prevailed throughout the whole of the 18th century, and Cuvier appears to have substantially adopted Bonnet's later views, though probably he would not have gone all lengths in the direction of " emboitement."
- Even in the second sense, the term is a very wide one, since it comprises the measurement of angles (plane and solid), lengths, areas and volumes.
- 6: Connexions of Lengths, Volumes and Weights -- This is the most difficult branch of metrology, owing to the variety of connexions which can be suggested, to the vague information we have, especially on volumes, and to the liability of writers to rationalize connexions which were never intended.
- Hearing the lengths his mate went through to condemn the human rendered him speechless.Advertisement
- One end of each pipe is plain, so that it may be cut to any desired length; pipes with shaped ends obviously must be obtained in the exact lengths required.
- In these colonies the system of assimilation was carried to great lengths.
- The total lengths of the land lines of the telegraphs throughout the world in 1907 were 1,015,894 m.
- Though this at first met with some acceptance, Strasburger showed that the action goes on in great lengths of stem the cells of which have been killed by poison or by the action of heat.
- The end of the first interval of this length (counting from the piece of bunting) is marked by a bit of leather, the second by a cord with two knots, the third by one with three knots, and so on; the middle of each of these lengths (half-knot) is also marked by a cord with one knot.Advertisement
- The rails, which for heavy main line traffic may weigh as much as too lb per yard, or even more, are rolled in lengths of from 30 to 60 ft., and sleepers are placed under them at intervals of between 2 and 3 ft.
- Aspinall on the Lancashire & Yorkshire railway to ascertain the resistance of trains of bogie passenger carriages of different lengths at varying speeds, and the results are recorded in a paper, " Train Resistance," Proc. Inst.
- But this is the only attempt at that policy of immediatisation which in contemporary England was carried to far greater lengths; and even this attempt was unsuccessful.
- If the two places are upon the same meridian or upon the equator the exact distance separating them is to be found by reference to a table giving the lengths of arcs of a meridian and of the equator.
- Of these all except points are quantities: lines involve lengths, planes involve areas, and cubic contents involve volumes.Advertisement
- The tables on p. 440 show the respective lengths of the various Ottoman railways open and worked at the end of 1908 and the amount of kilometric guarantees which they carried - and the lengths, &c., of railways worked by the various companies according to the nationality of the concessionaire groups.
- The strength of the current may also be regulated by introducing lengths of German silver or iron wire, carbon rod, or other inferior conductors in the path of the current, and a series of such resistances should always be provided close to the tanks.
- With regard to a great many rivers we know only the position of their mouths and their approximate lengths estimated by natives in terms of a day's march.
- A volume entitled Opera posthuma (Leiden, 1703) contained his "Dioptrica," in which the ratio between the respective focal lengths of object-glass and eye-glass is given as the measure of magnifying power, together with the shorter essays De vitris figurandis, De corona et parheliis, &c. An early tract De ratiociniis tin ludo aleae, printed in 16J7 with Schooten's Exercitationes mathematicae, is notable as one of the first formal treatises on the theory of probabilities; nor should his investigations of the properties of the cissoid, logarithmic and catenary curves be left unnoticed.
- If the magnetization is parallel to the major axis, and the lengths of the major and minor axes are 2a and 2C, the poles are situated at a distance equal to 3a from the centre, and the magnet will behave externally like a simple solenoid of length 3a.Advertisement
- While mensuration is concerned with the representation of geometrical magnitudes by numbers, graphics is concerned with the representation of numerical quantities by geometrical figures, and particularly by lengths.
- One of the relations most commonly illustrated in this way is the time-relation; the passage of time being associated with the passage of a point along a straight line, so that equal intervals of time are represented by equal lengths.
- In particular, the equality or inequality of values of two functions is more readily grasped by comparison of the lengths of the ordinates of the graphs than by inspection of the relative positions of their bounding lines.
- Graphic representation thus rests on the principle that equal numerical quantities may be represented by equal lengths, and that a quantity mA may be represented by a length mL, where A and L are the respective units; and the science of graphics rests on the converse property that the quantity represented by pL is pA, i.e.
- It is remarkable that Mobius employs the symbols AB, ABC, Abcd In Their Ordinary Geometrical Sense As Lengths, Areas And Volumes, Except That He Distinguishes Their Sign; Thus Ab = Ba, Abc= Acb, And So On.Advertisement
- The latter are made by dipping a small mass of molten colourless glass into an iron cup around the inner wall of which short lengths of white cane have been arranged at regular intervals.
- A vase decorated with these simple or complex canes is produced by embedding short lengths of the cane on the surface of a mass of molten glass and blowing and fashioning the mass into the required shape.
- In other machines a roll of narrow paper, in width equal to the circumference of the cigarette, is converted into a long tube, filled with tobacco, and automatically cut off into proper lengths.
- Coast-line.The following table shows the numbers, the lengths of coast-line, and the areas of the various groups of islands, only those being indicated that have a coast-line of at least I ri (23/4 m.), or that, though smaller, are inhabited; except in the case of Formosa and the Pescadores, where the whole numbers are given Length of Area Number.
- The wagons are attached at intervals by short lengths of chain lapped twice round the rope and hooked into one of the links, or in some cases the chains are hooked into hempen loops on the main rope.Advertisement
- The cage is connected with the drawing-rope by short lengths of chain from the corners, known as tackling chains, gathered into a central ring to which the rope is attached.
- Some misunderstanding caused an outburst of ignorant ill-feeling on the part of the students, who proceeded to such lengths that Fichte was compelled to reside out of Jena.
- The term " mensuration " is therefore ordinarily restricted to the measurement of areas and volumes, and of certain simple curved lengths, such as the circumference of a circle.
- It might, therefore, be described as that branch of mathematics which deals with formulae for calculating the numerical measurements of curved lengths, areas and volumes, in terms of numerical data which determine these measurements.
- The area of a rectangle, for instance, is found by calculation from the lengths of the sides, not by construction of a square of equal area.Advertisement
- As a result of the importance both of the formulae obtained by elementary methods and of those which have involved the previous use of analysis, there is a tendency to dissociate the former, like the latter, from the methods by which they have been obtained, and to regard mensuration as consisting of those mathematical formulae which are concerned with the measurement of geometrical magnitudes (including lengths), or, in a slightly wider sense, as being the art of applying these formulae to specific cases.
- 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.
- The use of the square bricks familiarizes the scholar with the ideas of parallel lines, of equality of lengths, and of right angles.
- The lengths of arcs of the same circle being proportional to the angles subtended by them at the centre, we get the idea of circular measure.
- - In Â§ 23 the area of a right trapezium has been expressed in terms of the base and the two sides; and in Â§ 34 the area of a somewhat similar figure, the top having been replaced by an arc of a parabola, has been expressed in terms of its base and of three lengths which may be regarded as the sides of two separate figures of which it is composed.Advertisement
- If the lengths of these sides are H and K, the coordinates of the angles of the base - i.e.
- Suppose, for instance, that u is of degree not exceeding 3 in x, and of degree not exceeding 3 in y, that it contains terms in x3y3, x 3 y 2, x2y3, &c.; and suppose that the edges parallel to which x and y are measured are of lengths 2h and 3k, the briquette being divided into six elements by the plane x=xo+h and the planes y = yo+k, y = yo+2k, and that the 12 ordinates forming the edges of these six elements are given.
- The folds, therefore, which are disposed for the purpose of making the grasp secure, vary with the relative lengths of the metacarpal bones, with the mutual relations of the sheaths of the tendons, and the edge of the palmar fascia, somewhat also with the insertion of the palmaris brevis muscle.
- As we obtained the result on the supposition of unchanged form, we can of course only apply it for such short lengths and such short times that the part dealt with does not appreciably alter.
- If these lengths are h and l 2, then l2-11=ZX and 2(l2 - ll) - ll is the correction for the open end.Advertisement
- Keeping the same tension, it may be shown that nl is constant by finding n for various lengths.
- The law that, caeteris paribus, n varies inversely as the thickness may be tested by forming a string of four lengths of the single thread used before, and consequently of double the thickness of the latter, when, for the same length and tension, the compound thread will exhibit double the number of ventral segments presented by the single thread.
- - si 2/y A series of pipes of lengths to give any FIG.
- The line XZ consists of a series of lengths, as XA, AB ...
- - If the lengths of the links be assumed indefinitely short, the chain under given simple distributions of load will take the form of comparatively simple mathematical curves known as catenaries.
- Let measurements along the beam be represented according to any convenient scale, so that calling L 1 and 1 1 the lengths to be drawn on paper, we have L = aL i; now let r1, r 2, r 3 be a series of radii such that r 1 = R i /ab, r 2 = R 2 /ab, &c., where b is any convenient constant chosen of such magnitude as will allow arcs with the radii, r 1, &c., to be drawn with the means at the draughtsman's disposal.
- Again, we may split a narrow beam of light by partial reflexion from a transparent plate, and recombine the constituent beams after they have traversed different circuits of nearly equivalent lengths, so as to obtain interference fringes.
- Thus while willing, even anxious that Prussia should receive Saxony, in order that she might be strong to meet the danger from the East, he was prepared to go to any lengths to resist the claims of Russia.
- Now in some cases, perhaps, in the lengths of the reigns themselves, in other cases in the computations based upon them, errors have crept in, which have vitiated more or less the entire chronology of the period.
- It may be explained here that the dates of the Assyrian and Babylonian kings can be reduced to years B.C. by means of the socalled " Canon of Ptolemy," which is a list of the Babylonian and Persian kings, with the lengths of their reigns, extending from Nabonassar, 747 B.C., to Alexander the Great, drawn up in the 2nd century A.D.
- The lengths of the reigns of Nebuchadrezzar and his successors on the throne of Babylon, and also, after the conquest of Babylon, of Cyrus and the following Persian kings, are known from the " Canon of Ptolemy," referred to above, the particulars in which, for the earlier part of this period, are also confirmed by the testimony of the monuments.
- In the same way the impossibility of marriage made her all the freer with her flirtations, and she carried some of them to lengths that scandalized a public unconscious of Elizabeth's security.
- 3: Tendency of Variation -- This is, in the above cases of lengths, to an increase in course of time.
- This unit is also recorded by cubit lengths scratched on a tomb at Beni Hasan (44), and by dimensions of the tomb of Ramessu IV.
- The mean of a dozen foot-measures (1) gives 11.616 Â± 0.008, and of long lengths and buildings 11.607 Â± 0.01.
- -- For these we have far more complete data than for volumes or even lengths, and can ascertain in many cases the nature of the variations, and their type in each place.
- Immediately before the revolution of February he went to all but the greatest lengths, and when it broke out he and Odillon Barrot were summoned by the king; but it was too late.
- If we compare the spectrum produced by refraction in a glass prism with that of a diffraction grating, we find not only that the order of colours is reversed, but also that the same colours do not occupy corresponding lengths on the two spectra, the blue and violet being much more extended in the refraction spectrum.
- Their working is observed with lively interest, for they carry the principle of direct popular sovereignty to lengths unprecedented except in Switzerland.
- Then circles having the intersections of tangents to this circle and the line of centres for centres, and the lengths of the tangents as radii, are members of the coaxal system.
- If we wish the successive divisions of the scale to correspond to equal increments in the density of the corresponding liquids, then the volumes of the instrument, measured up to the successive divisions of the scale, must form a series in harmonical progression, the lengths of the divisions increasing as we go up the stem.
- The silk-waste spinner receives his silk in quite a different form: merely the raw material, packed in bales of various sizes and weights, the contents being a much-tangled mass of all lengths of fibre mixed with much foreign matter, such as ends of straws, twigs, leaves, worms and chrysalis.
- Its purpose is to sort out the different lengths of fibre, and to clear such fibres of their nibs and noils.
- The productions from these several combings are known as " drafts " and are of different lengths: the product of the filled silk first placed in the dressing frame being the longest fibre and of course the most valuable.
- In the first stages of the spun-silk industry, the silk was dressed before boiling the gum out; the resulting drafts were cut into lengths of one or two inches.
- Following the process of dressing, the drafts have to go through a series of machines known as preparing machines: the object being to piece up the lengths of fibre, and to prepare the silk for spinning.
- The efforts which were consequently made in the early days of spectroscopy to discover some numerical relationship between the different wave lengths of the lines belonging to the same spectrum rather disregard the fact that even in acoustics the relationship of integer numbers holds only in special and very simple cases.
- In the same preface is included (a) the famous problem known by Pappus's name, often enunciated thus: Having given a number of straight lines, to find the geometric locus of a point such that the lengths of the perpendiculars upon, or (more generally) the lines drawn from it obliquely at given inclinations to, the given lines satisfy the condition that the product of certain of them may bear a constant ratio to the product of the remaining ones; (Pappus does not express it in this form but by means of composition of ratios, saying that if the ratio is given which is compounded of the ratios of pairs - one of one set and one of another - of the lines so drawn, and of the ratio of the odd one, if any, to a given straight line, the point will lie on a curve given in position), (b) the theorems which were rediscovered by and named after Paul Guldin, but appear to have been discovered by Pappus himself.
- He suspended an archbishop of Sens (1136) who had neglected to take into consideration the appeal to Rome, summoned an archbishop of Milan to Rome to receive the pallium from the pope's hands, lavished exemptions, and extended the right of appeal to such abnormal lengths that a Byzantine ambassador is reported to have exclaimed to Lothair III., Your Pope Innocent is not a bishop, but an emperor."
- In the councils strange speeches were heard from the mouths of laymen, who were beginning to carry to extreme lengths the spirit of independence with regard to Rome.
- Of course the partial loss of the piece-goods trade by the shops is not a loss in aggregate trade, as they are the ultimate distributors of the made-up garments, which are probably at least as profitable to retail as calico or flannelette sold in lengths.
- These are being superseded, however, by sliding-out trays of convenient lengths and about 9 in.
- The process of rooting these runners should be facilitated by fixing them close down to the soil, which is done by small wooden hooked pegs or by stones; hair-pins, short lengths of bent wire, &c., may also be used.
- These are cut up into half-inch lengths (more or less), and inserted in light sandy soil round the margin of a cutting pot, so that the upper end of the root cutting may be level with the soil or only just covered by it.
- The method in the latter case is to select roots averaging the thickness of the little finger, to cut these into lengths of about 3 or 4 in., and to plant them FIG.
- - This mode of propagation is by cutting the ripened young branches into short lengths, each containing one well-matured bud or eye, with a short portion of the stem above and below.
- This bloom is immediately rolled down into a long flat bar, called " muck bar," and this in turn is cut into short lengths which, piled one on another, are reheated and again rolled down, sometimes with repeated cutting, FIG.
- It was formerly sheared to short lengths and formed into piles, which were then rolled out, perhaps to be resheared and rerolled into bars, known as " single shear " or " double shear " steel according to the number of sheaiings.
- As the foremost end of the billet emerges from the furnace it enters the first of a series of roll-trains, and passes immediately thence to others, so that before half of the billet has emerged from the furnace its front end has already been reduced by rolling to its final shape, that of merchant-bars, which are relatively thin, round or square rods, in lengths of 300 ft.
- (1) Regnal dates as given on contemporary monuments may indicate the lengths of individual reigns, but not with accuracy, as they seldom reach to the end of a reign and do not allow for co-regen.cies.
- (2) The duration of a period may be calculated by generalions or the probable average lengths, of reigns, but such calculations are of little value, and the succession of generations even when the evidence seems to be full is particularly difficult to ascertain in Egyptian, owing to adoptions and the repetition of the same name even in one family of brothers and sisters.
- The lengths of several reigns in the XIIth, XVIIIth and XIXth Dynasties are known, and the sum total for the XIIth Dynasty is preserved better than any other in the Turin Papyrus, which was written under the XIXth Dynasty.
- Others are grounded on the dates of certain operations which are likely to have taken place at particular seasons of the year so that they can be roughly calculated on the Sothic basis, others on Manethos figures, average lengths of reigns, evidence of the Turin Papyrus, &c.
- At this point the measurement of the comparative lengths of the chief Pamir tributaries of the Oxus is as follows: To the head of the Aksu at Lake Chakmaktin.
- To what lengths would this liberty goÂ ?
- Fizeau he carried on a series of investigations on the intensity of the light of the sun, as compared with that of carbon in the electric arc, and of lime in the flame of the oxyhydrogen blowpipe; on the interference of heat rays, and of light rays differing greatly in lengths of path; and on the chromatic polarization of light.
- The Greeks discovered that if a line be divided in extreme and mean proportion, then the whole line and the greater segment are the lengths of the edge of a cube and dodecahedron inscriptible in the same sphere.
- Despairing of philosophy - that is to say, of physical science - the sophists were prepared to go all lengths in scepticism.
- The magnifying power of the telescope is = Ff /ex, where F and f are respectively the focal lengths of the large and the small mirror, e the focal length of the eye-piece, and x the distance between the principal foci of the two mirrors (=Ff in the diagram) when the instrument is in adjustment for viewing distant objects.
- Also it is impossible to make levels that are in every respect perfect, nor even to determine these errors for different lengths of bubble and at different readings with the highest precision.
- It may also be noticed that in mammals and birds which hop on two legs, such as jerboas, kangaroos, thrushes and finches, the proportionate length of the thigh-bone or femur to the tibia and foot (metatarsus and toes) is constant, being 2 to 5; in animals, on the other hand, such as hares, horses and frogs, which use all four feet, the corresponding lengths are 4 to 7.
- Of the periodic variable stars, the lengths of the periods range from 3 hours 12 minutes, which is the shortest yet determined, to 61o days, the longest.
- When statistics of the lengths of the periods are collected, it is at once noticed that they fall into two fairly well-marked classes.
- Its length is, therefore, the product of the lengths of the factors, and its inclination to the real unit is the sum of those of the factors.
- The tensions in the successive portions of the string are therefore proportional to the respective lengths, and thelinesBH,CK.., are all equal.
- For this purpose the infinitesimal displacements of W the various joints are replaced by finite lengths proportional to them, and there- FIG.
- It may however happen that owing to some special relation between the lengths of the bars the frame admits of an infinitesimal deformation.
- The simplest case is that of a frame of three bars, when the three joints A, B, C fall into a straght line; a small displacement of the joint B at right angles to AC would involve changes in the lengths of AB, BC which are only of the second order of small quantities.
- If in (21) we imagine that x, y, I denote infinitesimal rotations of a solid free to turn about a fixed point in a given field of force, it appears that the three normal modes consist each of a rotation about one of the three diameters aforesaid, and that the values of in are proportional to the ratios of the lengths of corresponding diameters of the two quadrics.
- On OCi, 0C2 take ~ -Cz lengths 0A1, OAf, respectively pro- 0
- Hookes wheels with oblique or helical teeth are in fact screws of many threads, and of large diameters as compared with their lengths.
- The lengths ds, ds are proportional to the velocities of the points to whose paths they belong, and the proportions of those velocities to each other are deducible from the construction of the machine ~v the principles of pure mechanism explained in Chapter I.
- It is characteristic of early literature that the evolution of the thought - that is, the grammatical form of the sentence - is guided by the structure of the verse; and the correspondence which consequently obtains between the rhythm and the grammar - the thought being given out in lengths, as it were, and these again divided by tolerably uniform pauses - produces a swift flowing movement, such as is rarely found when the periods have been constructed without direct reference to the metre.
- These investigations led him to the announcement of the fundamental law of action between elements of current, or currents in infinitely short lengths of linear conductors, upon one another at a distance; summed up in compact expression this law states that the action is proportional to the product of the current strengths of the two elements, and the lengths of the two elements, and inversely proportional to the square of the distance between the two elements, and also directly proportional to a function of the angles which the line joining the elements makes with the directions of the two elements respectively.
- The standard number of pairs is sixty-three, but different lengths obtain.
- If, in the first place, monochromatic aberrations be neglected - in other words, the Gaussian theory be accepted - then every reproduction is determined by the positions of the focal planes, and the magnitude of the focal lengths, or if the focal lengths, as ordinarily happens, be equal, by three constants of reproduction.
- The refractive indices for different wave lengths must be known for each kind of glass made use of.
- (This explains the gigantic focal lengths in vogue before the discovery of achromatism.) Examples.
- Should there be in two lenses in contact the same focal lengths for three colours a, b, and c, i.e.
- During this period he was distinguished for his opposition to the scholastic philosophy; and, though he did not go to all lengths with the "modernists" (Moderni) of his day, his first work - Logices exercitamenta (1507) - was distinctly on their side.
- Here and there Fenelon carries his philanthropy to lengths curiously prophetic of the age of Rousseau - fervid denunciation of war, belief in nature and fraternity of nations.
- Bows are made of it by the union of two pieces with many bands; and, the septa being bored out and the lengths joined together, it is employed, as we use leaden pipes, in transmitting water to reservoirs or gardens.
- The measured lengths are marked off on ordinates erected on an abscissa, along which the times are noted.
- The abscissae represent intervals of time, the ordinates the measured lengths of the growing filament.
- The racecourse, which lies south-west of the town, has a full extent of 4 m., but is divided into various lengths to suit the different races.
- The short land-frontier of England with Scotland (its length is only loo m.) is in great measure a physical boundary, as considerable lengths of it are formed on the east side by the river Tweed, and on the west by Kershope Burn, Liddel Water, and the river Sark; while for the rest it follows pretty closely the summit of the Cheviot Hills, whose highest point is the Cheviot (2676 ft.).
- Comparing the lengths of the extremities, it is seen that the gorilla's arm is of enormous length, in fact about one-sixth longer than the spine, whereas a man's arm is one-fifth shorter than the spine; both hand and foot are proportionally much longer in the gorilla than in man; the leg does not so much differ.
- All abutting joints in riveted work are faced to exact lengths and absolutely at right angles to the axis of the piece, and are spliced by scarf plates of proper dimensions adequately secured by rivets.
- After nearly four months of strenuous opposition to the bill in Parliament, he renewed and strengthened his encouragement to Ulster by declaring, at a large Unionist gathering at Blenheim on July 27, that the Ulster people would submit to no ascendancy, and that he could imagine no lengths of resistance to which they might go in which he would not be ready to support them, and in which they would not be supported by the overwhelming majority of the British people.
- In lengths not exceeding about 2 m., twice this height may be reached, giving for a 2-mile " fetch " about 32 ft., or 14 ft.
- The aporose corals, too, have a practically identical structure, their compactness being due to the union of the trabeculae throughout their entire lengths instead of at intervals, as in the Perforata.
- It appears that Newton made the mistake of supposing that all prisms would give a spectrum of exactly the same length; the objections of his opponents led him to measure carefully the lengths of spectra formed by prisms of different angles and of different refractive indices; and it seems strange that he was not led thereby to the discovery of the different dispersive powers of different refractive substances.
- Yet moderation was still so far prevalent in the ranks of his adherents that they refused to follow him to such lengths.
- Their descendant had neither Edwards sloth nor Henrys moderation; he was capable of going to almost any lengths in pursuit of the gratification of his ambition, his passions, his resentment or his simple love of self-assertion.
- Kugler 7 that the various periods underlying their lunar predictions were identical with those heretofore believed to have been independently arrived at by Hipparchus, who accordingly must be held to have borrowed from Chaldaea the lengths of the synodic, sidereal, anomalistic and draconitic months.
- The terms synodical, sidereal, tropical, anomalistic, nodical, are applied respectively to these months, of which the lengths are as follow: - N This diagram is a key to some of the features reproduced in the photograph.
- The lengths of the various months are: synodic = 29.53059 days; anomalistic = 2 7.554 60, sidereal = 27 32166, tropical = 27.32156, nodical = 27.21222, solar= 30.43685.
- Since the lens is bounded by air, the imageand object-side focal lengths f' and f are equal.
- Doublets, &'c. - To remove the errors which the above lenses showed, particularly when very short focal lengths were in question, lens combinations were adopted.
- A series of objectives with short focal lengths are available, which permit the placing of a liquid between the cover-slip and the front lens of the objective; such lenses are known as " immersion systems "; objectives bounded on both sides by air are called " dry systems."
- The two most customary eyepieces consist in two simp:e planoconvex lenses, whose distance one from the other is equal to half the sum of the two focal lengths.
- Beck, which can be conveniently fitted in and used for objectives with different focal lengths.
- The size of these circles depends, in the case of equal tube lengths, only on the type of the objective, and not on the focal length, exact execution being assumed.
- The magnification of a microscope is determined from the focal lengths of the two optical systems and the optical tube length, for N = 250 A/fi'f2 To determine the optical tube length 0, it is necessary to know the position of the focal planes of the objective and of the ocular.
- This involucre is frequently composed of several rows of leaflets, which are either of the same or of different forms and lengths, and often lie over each other in an imbricated manner.
- Stamens also vary in their relative lengths.
- The cloth, when finished, is cut up into lengths, made into bags and tarred.
- Well the author and publisher seem so confident they have gone to great lengths to let you try for yourself with absolutely no risk.
- Our society goes to great lengths to hide the truth about procured abortion.
- These lengths can be used to declare character arrays to store such strings.
- The recumbent patient may undergo assessment of leg lengths.
- These molecules may be of different chain lengths, and may also have double bonds in some places.
- According to the legend, vast lengths of the tunnels still exist today; the rest have been destroyed by cataclysms.
- Thus the user can measure bond lengths, interatomic distances, angles between bonds and planes; create centroids and more.
- A cyclic convolution requires that the lengths of the input vectors are identical.
- Use proper connectors or cable couplers to join lengths of cable.
- A state sponsoring such a threat will doubtless go to enormous lengths to ensure that plausible deniability is firmly in place.
- The link lengths and the crank angular displacement are varied.
- Once you can do, say 20 lengths without getting any problems with your sugar, then see a dive doc for your assessment.
- Word Limits The maximum lengths of theses are strictly enforced.
- Japanese fletchers produced many types of arrows with shafts of varying lengths and colors and a numerous selection of arrowheads.
- The most significant features found during the watching brief were two lengths of oblique limestone wall footing.
- Tenants outdoor futon cover to accept authorities and issues to great lengths.
- Someone had chopped off the pillion footrest hangers and replaced them with a couple of welded on lengths of one-inch gas pipe.
- Issue likely to mhpi housing units families referred through to great lengths.
- The corresponding refractive indices are the lengths of these axes.
- The current situation is highly inequitable, given the differing lengths of waiting lists around the country.
- We are building two planters out of breeze block with lengths of hose pipe between the mortar joints.
- Byrd then cut a piece of 0.5mm wire into lengths of about 5 inches, into one of which Geller apparently put a kink.
- I would experiment on the average times it takes swimmers to swim 20 lengths.
- The Influence of Tree Canopy An often overlooked point when calculating tree shadow lengths is the radial distance of the crown spread.
- The fifth movement is a jig or waltz where the phrase lengths are, unlike the first movement, gradually lengthened.
- Hence, ' things by removal ' may be one way of explaining perceptible magnitudes qua lengths.
- Handcuffs from the army surplus store were chopped in half and lengths of chain were added to make manacles.
- Katja, still a relative novice, is not about to go to such lengths - not yet, that is.
- A favorite is the navy, silk organza tulip dress which plays with the lengths and layers of typically 20s fashions.
- We then headed down to the indoor pool and slowly swam a few lengths while admiring the panorama through the huge picture windows.
- The lengths to which some people will go to avoid the annual pantomime... !
- Pay and display On all lengths of road which are controlled by pay and display parking meters parking is free for Blue Badge holders.
- Its size of a few thousand Planck lengths, makes it a very petty pea.
- We know very accurately: 1. bond lengths in polypeptides, 2. planar groupings in the polypeptide structure.
- Specialist Skills if Any: making promos of various lengths Ever Been on Air: Many Times I am promo man.
- The Reticulated python can reach a maximum length of over 30 feet; the Burmese python can reach lengths up to 20 feet.
- You could also use raffia or lengths of fabric.
- Long rafter length A similar over capacity of the interlocks can occur with long rafter length A similar over capacity of the interlocks can occur with long rafter lengths.
- Stubs are shorted or open circuit lengths of transmission line which produce a pure reactance at the attachment point.
- Colin fished a mackerel tail on a ledger rig 4 rod lengths out.
- The zinc coordination sphere, bond lengths and angles are shown in table 4.3.
- To make spring onion curls; use a sharp knife to cut a spring onion curls; use a sharp knife to cut a spring onion into 8cm lengths.
- Industrial strength insulating tape can be used to secure lengths of cable off the floor behind appliances.
- The majority of human tumors stabilize their telomere lengths by activation of the enzyme telomerase.
- Supplied in continuous lengths, simply purchase as many meters as required to fit your poly tunnel.
- You will want to cut the twigs into about ten inch lengths.
- The cables, in the exact lengths required, were simply unrolled from drums onto cable mats on the floor slab.
- The government has gone to previously unthinkable lengths on immigration.
- By attaching chrome vanadium flexible rods, in 5 meter lengths, distances of up to 260 meters can be achieved.
- And they have gone to considerable lengths to relate such material to mosaic Yahwism in the way we have shown above.
- Thus the Volga, the Dnieper and the Don attain respectively lengths of 2325, 1410 and 1325 m., and their basins run to 563,300, 202,140 and 166,000 sq.
- He made his first public appearance in Vienna in 1887, in Paris in 1889, and in London in 1890, his brilliant playing created a furore which went to almost extravagant lengths of admiration; and his triumphs were repeated in America in 1891.
- But the theory has been carried to extravagant lengths by Kiinstle, who thinks that the creed was written in Spain in the 5th century, and soon taken to the monastery of Lerins.
- If the distance between the contour lines is h and the length of the individual contour lines 1, the sum of their lengths / (1), and A the area of the surface under investigation, then the mean angle of slope is obtained from the equation h?
- The proper statement is that, if a and b are the sides, the area is equal to the area of a rectangle whose sides are a and tb; this being, in fact, a particular case of the proposition that the area of a trapezium is equal to the area of a rectangle whose sides are its breadth and the arithmetic mean of the lengths of the two parallel sides.
- 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.
- (See Ex Plosives.) The explosive cordite is adopted in the British service; it derives the name from its appearance as cord in short lengths, the composition being squeezed in a viscous state through the hole in a die, and the cordite is designated in size by the number of hundredths of an inch in the diameter of the hole.
- The mean of a dozen foot-measures (1) gives 11.616 Ãƒâ€šÂ± 0.008, and of long lengths and buildings 11.607 Ãƒâ€šÂ± 0.01.
- But, though learned and studious, she was intriguing and ambitious, and ready to go to any lengths to gratify her longing for power.
- For relatively short focal lengths a triple construction such as this is almost necessary in order to obtain an objective free from aberration of the 3rd order, and it might be thought at first that, given the closest attainable degree of rationality between the colour dispersions of the two glasses employed, which we will call crown and flint, it would be impossible to devise another form of triple objective, by retaining the same flint glass, but adopting two sorts of crown instead of only one, which would have its secondary spectrum very much further reduced.
- In the Ramsden eyepiece (see Microscope) the focal lengths of the two piano-convex lenses are equal, and their convexities are turned towards one another.
- A plane frame of n joints which is just rigid (as regards deformation in its own plane) has 2n3 bars, for if one bar be held fixed the 2(n2) co-ordinates of the remaining fl2 joints must just be determined by the lengths of the remaining bars.
- Gauss (Dioptrische Untersuchungen, GÃƒÆ’Â¶ttingen, 1841), named the focal lengths and focal planes, permits the determination of the image of any object for any system (see Lens).
- Hipparchus fixed the chief data of astronomy - the lengths of the tropical and sidereal years, of the various months, and of the synodic periods of the five planets; determined the obliquity of the ecliptic and of the moon's path, the place of the sun's apogee, the eccentricity of his orbit, and the moon's horizontal parallax; all with approximate accuracy.
- By compounding two lenses or lens systems separated by a definite interval, a system is obtained having a focal length considerably less than the focal lengths of the separate systems. If f and f' be the focal lengths of the combination, and f2, f2 the focal lengths of the two components, and A the distance between the inner foci of the components, then f = - f,f2/4, f' =fi f27 0 (see Lens).
- And how could she let Kuragin go to such lengths?
- Pierre's one feeling at the moment was a desire to show that he was ready to go all lengths and was prepared to sacrifice everything.
- The internal units of the variables are bohr for bond lengths and radians for angles.
- Long rafter length A similar over capacity of the interlocks can occur with long rafter lengths.
- Nevertheless, there appears to be little pressure for the recombination operators to explore representation lengths much larger than the initial representation length.
- There were some rude remarks made about the lengths I had to go to in order to get Tom to stop speaking !
- Draw out the candy evenly, snip off into lengths with a pair of oiled scissors.
- To make spring onion curls; use a sharp knife to cut a spring onion into 8cm lengths.
- There 's us teetering around on severely shortened lengths of flaky drainpipe.
- The warping constant is a function of bulb radius, and of the thicknesses and lengths of the two legs.
- And they have gone to considerable lengths to relate such material to Mosaic Yahwism in the way we have shown above.
- Cut one of the lengths in half and a form a head with fiberfill, then sew this piece to the top.
- You can either attach them close to the flower blossoms or tie them at the end of the ribbons in staggering lengths.
- Cut ribbon in a variety of lengths, and if you prefer, curl each ribbon with scissors.
- Tie on additional lengths of ribbon with trailing ends and then curl each ribbon strand.
- Attach additional ribbon in a variety of lengths and glue the diaper pin to the back of the corsage.
- Arrange the sock toes to resemble a floral bouquet and attach additional lengths of ribbon in varying lengths.
- These typically start at the waist and are available in different lengths.
- You can find appropriate lengths for short skirts, long skirts, knee-length skirts and so on.
- It is usually a shortened version of the full slip in varying lengths, ranging from those that stop near the top of the thighs to anywhere up to the middle thigh and beyond.
- Boyshorts come in a number of lengths, so it's important that you know how long you want them before making a purchase.
- How it works is you purchase credits that can be used at different locations, for different times of year, and different lengths of stay.
- They come in a variety of lengths, so you can find the best fit for the size of your family and your travel needs.
- You can generally find barrel lengths that range from 18 to 26 inches.
- Sometimes, lengths are cut wrong, or the employees found that the material doesn't work very well.
- Short focal lengths usually give your bright and clear images, but will have wide areas of view.
- Be sure to match the hybrid to the appropriate iron or wood club so that the lengths and lofts are the same.
- Make sure you know your maximum and minimum lengths for the length, width, and depth of the tv you would purchase.
- This breed developed a fur coat that has three distinct lengths and purposes.
- However, because of the differences in the lengths of time the alerts are effective for, each alert has different requirements in order for the bureaus to apply the alert.
- In addition, to ensure a comfortable fit for all of their customers, all king and queen size Craftmatic beds are available in lengths of 80 and 84 inches and widths of 74 inches.
- Create arms for the footrest by cutting two 14-inch lengths of aluminum tubing.
- Thomasville also offers bedspreads in generous sizes along with bedskirts in 14 or 18 inch lengths.
- Lengths vary and typically extend (telescoping rods) to fit a range of sizes to use with more than one window.
- While the systems are manufactured in specific lengths, they can be joined via connectors.
- Shag Rugs: Long carpet pile rugs were first introduced in the late 1960s and considered to be ultra modern in design with their very long and unruly lengths of pile.
- The long twisted lengths often would tangle and it was common practice to use a garden rake to comb your shag rug.
- The acrylic strips are made for mirrors in lengths of 36 inches 48 inches or 60 inches.
- The wood grain polymer strips are made for mirrors in lengths of 36 inches and 59 Â½ inches.
- In addition to being varying lengths and widths, bay windows are available with the side windows extending at three different standard angles, and countless non-standard angles from the front window.
- Wire rods - Modern, urban and kitschy, rods made from lengths of industrial cable or wire only work well with lightweight sheers or light mesh curtains.
- Rod lengths vary from 28-48 inches, 36-72 inches, 48-84 inches and 72-144 inches.
- These wood rods are available in 4 ft, 6 ft and 8 ft lengths and 1 Â½ to 2 inch diameters.
- Add two or three tablecloths in varying lengths, or include a tablecloth and placemats.
- This job calls for two people – one who can manage the weight of the chandelier and one who can eye up the lengths to find the best fit.
- Clinique High Lengths mascara features a large comb applicator to separate and define lashes from corner to corner.
- Experiment with focal lengths: Depending on how comfortable your model is posing in the nude, you might want to vary your focal length.
- They come in 7-inch and 12-inch lengths for both cardmaking and scrapbooking.
- They are available in a sidecut of 68, 55 or 62 and are offered in lengths of 180 or 210 mm.
- These skis have a Sintec base, feature a BCX Magnum Black binding and are available in lengths of 180 or 210 mm.
- It comes in lengths of 168, 178, 188, 198, 203 centimeters.
- The E109 Tour is available in lengths of 168, 178, 188, 198, 203 centimeters.
- Different lengths are suitable for different purposes.
- Since skis can be expensive, it is best to try out various lengths to find the pair you will be most comfortable using.
- Keep in mind that people of the same height but different weights may require different ski lengths.
- You may want to try out several pairs of skis of the same brand, but of different lengths.
- You can ask the advice of an instructor or sales person to determine what lengths will work best for your needs.
- Because of this camber, shaped skis are more efficient at shorter lengths.
- Then, go to the slopes and demo the skis in various lengths.
- If possible, bring a friend who can evaluate how you perform on the different ski lengths.
- Sierra Trading Post offers a chart that lists ski lengths according to weight.
- Fortunately, skiers at that level are also capable of correctly evaluating their performance on different ski lengths.
- If possible, have a friend video you on different types of terrain while using different ski lengths.
- Certain brands will perform better at either shorter or longer lengths.
- Unfortunately, there is no standard formula for determining which brands perform better at which lengths.
- Other common factors of the top three jobs are demanding schedules that may change at any time, long shifts, and extended lengths of time away from home.
- In most instances, it is preferable to train an employee how to have effective time management skills instead of having to go to the lengths involved with firing one employee and hiring and training another.
- On the site, you will learn more information about the different lengths of courses and the cost of them.
- They come in a variety of lengths, but those that go up to about the knee are most popular.
- The best way to tackle this area is by looking at lengths.
- At David's Bridal, you'll find all of the long and lithe classics we've come to love, but now they've been modernized with shortened lengths, backless backs, and straps that slash across the body in the most intriguing of ways.
- These designs are available in a multitude of lengths, layers and styles.
- Jessica McClintock's short formal gowns are available in both mini and micro-mini lengths.
- Jacket sleeve lengths vary from short sleeve, to long or flowing styles.
- Animal print prom dresses are fashionable in either short or long styles, and both lengths work for most girls.
- Shoes: Choosing stylish wedding shoes is a must with informal dresses, since shorter lengths ensure the shoes are more visible than they may be with formal gowns.
- Because casual gowns are available in many different lengths, you have a huge variety of dresses to choose from.
- Control: Horror stories about brides demanding that their bridesmaids sport identical hair colors, lengths, and styles are common.
- Fortunately today's styles allow for hemlines of all lengths whether mini or midi.
- Use varying lengths of tapered candles to make and arrangement.
- For a good flow, consider a length shorter than the traditional long lengths with trains; instead opt for an ankle, tea, or even calf or knee length dress instead.
- Not only are these shorter lengths acceptable for beach weddings, the fabric will flow around your body rather than being subjected to damaging dirt and debris.
- Many mainstream bridal boutiques and catalogs sell the same gown with slight variations such as different strap options or hem lengths to suit every bridesmaid.
- From hot pink sashes to varying lengths of layers, a bride going for the punk style will truly live it up when it comes to her wedding apparel.
- While this is a great look for some, other mothers prefer different sleeve lengths.
- Make the centerpiece a trio, using different lengths of tapers.
- Place three in each vase with the stems cut at different lengths for the most attractive result.
- Keep a white cake, but use lengths of silk ribbon with a tiny polka-dot pattern on them to wrap around each tier.
- They are also prone to hiding the amount they drink and go to great lengths to cover it up.
- In this process the yarn is twisted into short lengths.
- Plain or Print: Modern shower curtains come in a wide variety of printed designs and images, or they may be elegant lengths of non-printed materials.
- Dust ruffles are typically available in three drop lengths to accommodate different box spring sizes: 15, 18 and 21 inches.
- Some specialty bedding stores sell dust ruffles with longer drop lengths for standard frame sizes.
- The manufacturing of chenille fabric is a unique process that involves placing short lengths of yarn between two "core yarns" and then twisting the yarn together.
- I can't believe that somebody would go to such great lengths to try to damage my reputation."
- Eating disorder support group Caring Online points fingers at Hollywood for creating unrealistic body ideals and putting pressure on women to go to extreme lengths to attain unhealthy body weights.
- Girls skirts come in many different lengths and styles, meaning you should have no trouble finding a great look for the young lady you are shopping for.
- For example, jerseys come in belt length, which are open at the belt line, and inserted lengths, which are tucked into the pants.
- Some people prefer skirt lengths to be closer to the floor, and some desire the length of sleeves to hit the elbow, but, on the whole, modesty usually falls within these guidelines.
- They have a lovely range of dresses in assorted lengths and colors.
- Because islands in the western Caribbean are numerous and close together, cruise lengths vary widely.
- No two cruise itineraries are identical, and each one offers different lengths of stay in particular ports, shore excursions, and routes between ports.
- Because the islands are close together, eastern Caribbean cruise lengths can vary from seven to fourteen days.
- Both round trip and one-way cruises are offered, with most lengths approximately 7-8 nights.
- Both round trip and one-way voyages are available, with itinerary lengths varying from 4-24 nights.
- What's more, you can choose from a variety of cruise lengths ranging from two hours to eight days.
- Explore the ancient tombs and temples as you experience the magic of the Nile River on cruises of varying lengths of stay.
- Cruise Brothers has Nile river cruises of varying lengths, some as short as three days.
- Hawaiian cruises come in several lengths.
- Departure dates and cruise lengths may vary slightly depending on when you sail.
- You can search for a variety of different cruise lines, and trip lengths ranging from one night to 14 nights.
- Responsible breeders care deeply about their animals as well as the betterment of the particular breed they choose to breed, and for this reason, they go to great lengths to produce next generation dogs that conform to strict standards.
- I purchased three different types of webbing in eight foot lengths and spend under $10.00 for all of it.
- Measure and cut the wood into required lengths.
- Cut two lengths from the other piece of lumber that measure three feet, eight inches in length and discard the small leftover piece.
- This can create the look of thicker, fluffy hair since the coat is not weighed down by long lengths.
- These require summer tipping,because individual canes will grow to unmanageable lengths.
- For taller plants cut additional lengths of wood so you can build another layer.
- Because Corian is a fabricated product, it is formed in sheets and is cut into specific lengths at the time of manufacture.
- Most of these tracks can be purchased in lengths of 6 and 12 feet, and use a power feed from a transformer mounted on the ceiling or in the wall.
- Smaller Sections - Track lighting comes in smaller sections - four feet as well as the traditional eight-foot lengths.
- Some pendants hang from a cord, others from a wire system, and still others extend on a retractable stem of varying lengths, from three inches to 25 inches.
- Cable track lights can be installed in lengths under 20 feet without additional vertical support.
- However, if you run cable in longer lengths, additional support will be required.
- Standard: The tracks in standard track lighting kits are sold in straight, metal lengths and are not flexible.
- Westmore vanities fit a 25-inch top with an integrated sink and is offered in 24-inch and 48-inch lengths.
- This vanity accommodates 25-inch integrated sinks and is offered in both 24- and 48-inch lengths.
- Purchase it in lengths that will require the least number of splices.
- You'll need two lengths of molding, which will be joined with an angled, overlapping scarf joint.
- Additional lengths of trim can often be purchased for an additional price.
- Drywall comes standard in four-foot widths and is available in a variety of lengths.
- You can select a horizontal or vertical layout and purchase panel lengths that will most closely correspond with the dimensions of your room.
- Typically, siding comes in 12 foot by 6-inch lengths.
- Length varies by pattern, so you may have a field of 1/2 x 2-inch tiles, a field of 1/2 x 8-inch tiles, or a field combining multiple lengths for a random look.
- Length varies by pattern, so you may have a field of 1/2 by 2-inch tiles, a field of 1/2 by 8-inch tiles, or a field combining multiple lengths for a random look.
- Insulation rolls are long, single lengths of insulation that are best used in areas where they can be rolled out, like attics, between studs in unfinished walls or crawl spaces.
- Monorail kits come with fixed lengths of rail, pre-bent into a number of shapes, curves and lines.
- The chain can be any length, from short choker lengths that will sit snugly around the neck to long, dramatic lengths that can fall to the waist band - or even further!
- These beautiful earrings are available in 2 lengths.
- Snap shut tabs allow you to securely hang necklaces of varying lengths in tangle-free fashion.
- Cultured pearl necklaces are available in a number of different styles and lengths and a variety of color choices.
- A tin cup pearl necklace has lengths of chain between pearls of equal size.
- Many women love the stylish look of wearing multiple pearl necklaces of different lengths at the same time.