# How to use *Sine* in a sentence

The rules then are

**sine**of the middle part = product of tangents of adjacent parts = product of cosines of opposite parts.Prove that twice the

**sine**of the latitude of the place = the secant of the suns latitude.Such vigilant monitoring is a conditio

**sine**qua non for any physician who wishes to cure the patient of her malady.The spectrum contains just one component, at 256 Hz, because the pure tone is a single

**sine**wave.The Spectrum Any sound can be constructed by adding up enough

**sine**waves of differing intensity levels, frequencies and starting times.AdvertisementThe short vertical line above the

**sine**theta axis marks the position of the Ti K absorption edge.Stockhausen used close analysis of sound to compose with

**sine**waves to create timbres.Don't think I'll ever get that toaster, I can't seem to

**sine**anybody up.Relationships and common formulae from elementary trigonometry, including the basic properties of

**sine**and cosine.By making the reference bias voltages applied to the diodes equal, an approximate square wave output is obtained from a

**sine**wave input.AdvertisementIn that case a

**sine**wave type vibration did show up on the photographs.Any periodic curve may be resolved into

**sine**or harmonic curves by Fourier's theorem.But Cyprian of Carthage said long ago, Consuetudo

**sine**veritate vetustas erroris est; and the bare fact of previous existence is no argument for the re-introduction of obsolete and antiquated institutions and theories.The extension of the image away from the axis or size of field available for covering a photographic plate with fair definition is a function in the first place of the ratio between focal length and aperture, the longer focus having the greater relative or angular covering power, and in the second a function of the curvatures of the lenses, in the sense that the objective must be free from coma at the foci of oblique pencils or must fulfil the

**sine**condition (see Aberration).The moment of the resultant force R of the wrench about this line is Rr

**sine**, and that of the couple G is G cos 9.AdvertisementThe inverse

**sine**is defined only in the domain from ` -1 ' to ` 1 '.The sampled

**sine**wave input signal should be plotted in the upper graph.In an amplitude plot, you see the actual amplitude of

**sine**components.The

**sine**rule is simpler to remember but not always applicable.This would abolish the distinction which is the

**sine**qua non condition for the existence of the two identities.AdvertisementThe first actual appearance of the

**sine**of an angle appears in the work of the Hindus.When you perform Fourier analysis, you assume that the signal is composed of

**sine**waves of different frequencies.This is not a pure

**sine**wave supply, we cannot be held responsible for any damage caused to computer equipment and personal appliances.Fit Details The Add

**Sine**Component Linear Fit Details adds a statistical breakdown of each sinusoid in the fit.Do n't think I'll ever get that toaster, I ca n't seem to

**sine**anybody up.AdvertisementThree basic waves,

**sine**, triangles and square, generated by a locked waveform generator, are applied to shape the display.The Christmas Guitar Chord Songbook - Over 40 songs are available in this publication including Auld Lang

**Sine**, Deck the Halls and Coventry Carol.**Sine**the early nineteen hundreds, Gabrielle 'Coco' Chanel has been one of the world's fashion darlings.In Squier and Crehore's " Synchronograph " system "

**sine**waves of current, instead of sharp " makes and breaks," or sharp reversals, are employed for transmitting signals, the waves being produced by an alternating-current dynamo, and regulated by means of a perforated paper ribbon, as in the Wheatstone automatic system.Much that had been done by bishops,

**sine**strepitu forensi et figura judicii, is now done in the course of regular judicial procedure.This process is called conceptual synthesis, the possibility of which is a

**sine**qua non for the exchange of information by speech and writing.In the parable of the rich man and Lazarus, Basilides saw the proof of naturam

**sine**radice et**sine**loco rebus supervenientem (Acta Archelai).The conferences were opened at the close of July in the camp of the grand vizier, who was pressing Belgrade hard and demanded the surrender of the city as a

**sine**qua non.The enforcement of these reforms, however, was postponed

**sine**die owing to the revolution which transformed the Ottoman Empire into a constitutional state; and the powers, anticipating an improvement in the administration of Macedonia by the new government, withdrew their military officers in the summer of 1908.The improvement of the telescope was justly regarded as a

**sine**qua non for the advancement of astronomical knowledge.Finally, by abstraction from the individual things of sense, the mind is able to contemplate the universal apart from its accompaniments (animal

**sine**homine, asino, et aliis speciebus); these subjective existences are the universalia post rem of the Nominalists and Conceptualists.On the 28th the Hungarian parliament adjourned

**sine**die, pending the settlement of the crisis, without having voted the estimates for 1910, and without there being any prospect of a meeting of the delegations.The

**sine**of an angle can never be greater than unity; and consequently under the most favourable circumstances only 1/m 2 ir 2 of the original light can be obtained in the m u ' spectrum.He found out the formula for deriving the

**sine**of a multiple angle, knowing that of the simple angle with due regard to the periodicity of sines.This deflecting force is directly proportional to the velocity and the mass of the particle and also to the

**sine**of the latitude; hence it is zero at the equator and comes to a maximum at the poles.It further follows, as in the analogous case of light, that there is a certain angle termed the critical angle, whose

**sine**is found by dividing the less by the greater velocity, such that all rays of sound meeting the surface separating two different bodies will not pass onward, but suffer total reflection back into the first body, if the.Fourier's theorem asserts that such a curve may be built up by the superposition, or addition of ordinates, of a series of

**sine**curves of wave-lengths X, IX, 3A, 4A...Formerly it was generally supposed that the Tartini tone was due to the beats themselves, that the mere variation in the amplitude was equivalent, as far as the ear is concerned, to a superposition on the two original tones of a smooth

**sine**displacement of the same periodicity as that variation.It was already in the hands of the Romans in 306 B.C., and since in the 3rd century B.C. it issued copper coins with a Latin legend it must have had the civitas

**sine**suffragio.The only two points on which he departed from the orthodox Lutheran faith of his day were the requirement of regeneration as the

**sine**qua non of the true theologian, and the expectation of the conversion of the Jews and the fall of Papacy as the prelude of the triumph of the church.An intimate collaboration with England and France was a conditio

**sine**qua non for Czechoslovakia.Bruckner (Leipzig, 1901; also written in Polish); Chmielowski, History of Polish Literature (in Polish, 3 vols.); Stanislaus Tarnowski, History of Polish Literature (in Polish); Grabowski, Poezya Polska po roku 1863 (Cracow, 1903); Heinrich Nitschmann, Geschichte der polnischen Literatur (Leipzig;

**sine**anno).The ancient city of Fundi in 338 B.C. (or 332) received (with Formiae) the civitas

**sine**suffragio, because it had always secured the Romans safe passage through its territory; the people as a whole did not join Privernum in its war against Rome three years later, though Vitruvius Vacca, the leader, was a native of Fundi.The legislatures of Connecticut and Rhode Island, and town meetings in Cheshire and Grafton counties (New Hampshire) and in Windham county (Vermont) accepted the invitation, and the convention, composed of 12 delegates from Massachusetts, 7 from Connecticut, 4 from Rhode Island, 2 from New Hampshire and 1 from Vermont, all Federalists, met on the 15th of December 1814, chose George Cabot of Massachusetts president and Theodore Dwight of Connecticut secretary, and remained in secret session until the 5th of January 1815, when it adjourned

**sine**die.The commissioners feared that, so long as Greek was a

**sine**qua non at the universities, these schools would be cut off from direct connexion with the universities, while the universities would in some degree lose their control over a portion of the higher culture of the nation.Napier's logarithms are not the logarithms now termed Napierian or hyperbolic, that is to say, logarithms to the base e where e= 2.7182818 ...; the relation between N (a

**sine**) and L its logarithm, as defined in the Canonis Descriptio, being N=10 7 e L/Ip7, so that (ignoring the factors re, the effect of which is to render sines and logarithms integral to 7 figures), the base is C".Briggs pointed out in his lectures at Gresham College that it would be more convenient that o should stand for the logarithm of the whole

**sine**as in the Descriptio, but that the logarithm of the tenth part of the whole**sine**should be Io,000,000,000.But he considered that the change ought to be so made that o should be the logarithm of unity and io,000,000,000 that of the whole

**sine**, which.As far as the circlesquaring functions are concerned, it would seem that Gregory was the first (in 1670) to make known the series for the arc in terms of the tangent, the series for the tangent in terms of the arc, and the secant in terms of the arc; and in 1669 Newton showed to Isaac Barrow a little treatise in manuscript containing the series for the arc in terms of the

**sine**, for the**sine**in terms of the arc, and for the cosine in terms of the arc. These discoveries 1 See Euler, ” Annotationes in locum quendam Cartesii," in Nov.The minor axis, on the other hand, is not constant, but, as we have already seen, depends on the latitude, being the product of the major axis into the

**sine**of the latitude.A spectroscope may be compared to a mechanical harmonic analyser which when fed with an irregular function of one variable represented by a curve supplies us with the

**sine**curves into which the original function may be resolved.Not so; like Kant himself, Hodgson supposes something beyond; not, however, an unknown thing in itself causing sensations, but a condition, or

**sine**qua non, of their existence, without being a cause of their nature.What is known as the method of sines is used, for since the axes of the two magnets are always at right angles when the mirror magnet is in its zero position, the ratio M/H is proportional to the

**sine**of the angle between the magnetic axis of the mirror magnet and the magnetic - = meridian.Aricia was one of the oldest cities of Latium, and appears as a serious opponent of Rome at the end of the period of the kings and beginning of the republic. In 338 B.C. it was conquered by C. Maenius and became a civitas

**sine**suffragio, but was soon given full rights.According to another point of view, an arboretum should be constructed with regard to picturesque beauty rather than systematically, although it is admitted that for scientific purposes a systematic arrangement is a

**sine**qua non.A Simple-Harmonic or

**Sine**Wave is the only kind which is propagated without change of form.The Democratic National Convention adopted (August 29, 1864) a resolution (drafted by Vallandigham) declaring the war a failure, and demanding a cessation of hostilities; it nominated M'Clellan for president, and instead of adjourning

**sine**die as usual, remained organized, and subject to be convened at any time and place by the executive national committee.The possession of the doctorate is a

**sine**qua non for eligibility to a university chair, and to a lectureship in the university of Paris.Regarded as a linear velocity, the parallactic motion is the same for all stars, being exactly equal and opposite to the solar motion; but its amount, as measured by the corresponding angular displacement of the star, is inversely proportional to the distance of the star from the earth, and foreshortening causes it to vary as the

**sine**of the angular distance from the apex.This view has the merit of giving the book a practical religious aim - a

**sine**qua non to any theory of an early Christian writing.But the quarrel, known as the controversy de auxiliis gratiae, was brought to an end by Pope Paul V., who closed the debates and adjourned his decision

**sine**die.And the third, where the cause is really ended, and it is

**sine**fraude without relation to any precedent promise....If the object point 0 be infinitely distant, u, and u 2 are to be replaced by h l and h 2, the perpendicular heights of incidence; the "

**sine**condition " then becomes sin u',/h 1 = sin u' 2 /h 2 .Both the aberration of axis points, and the deviation from the

**sine**condition, rapidly increase in most (uncorrected) systems with the aperture.The rays with an angle of aperture smaller than u* would not have the same distance of intersection and the same

**sine**ratio; these deviations are called "zones," and the constructor endeavours to reduce these to a minimum.Spherical aberration and changes of the

**sine**ratios are often represented graphically as functions of the aperture, in the same way as the deviations of two astigmatic image surfaces of the image plane of the axis point are represented as functions of the angles of the field of view.The condition for the reproduction of a surface element in the place of a sharply reproduced point - the constant of the

**sine**relation - must also be fulfilled with large apertures for several colours.Abbe succeeded in computing microscope objectives free from error of the axis point and satisfying the

**sine**condition for several colours, which therefore, according to his definition, were " aplanatic for several colours "; such systems he termed " apochromatic."To integrate this equation for a solid of given form is probably difficult, but it is easy to see that at some distance on either side of the body, where the liquid is sensibly at rest, the crest of the wave will approximate to an asymptote inclined to the path of the body at an angle whose

**sine**is w/V, where w is the velocity of the wave and V is that of the body.He also reduced the revolted Sabines to submission; a large portion of their territory was distributed among the Roman citizens, and the most important towns received the citizenship without the right of voting for magistrates (civitas

**sine**sufJragio).On this occasion he insisted on the re-establishment of the constitution in its integrity as a

**sine**qua non.In this connexion it might also be well to mention the remarkable satires on the papal court, included in the Epistolae

**sine**titulo.He prided himself on his motto, Nulla dies

**sine**linea.While, therefore, there is apparently no correspondence between the area of the wing and the animal to be raised, there is, except in the case of sailing insects, birds and bats, an unvarying relation as to the weight and number of oscillations; so that the problem of flight would seem to resolve itself into one of weight, power, velocity and small surfaces, versus buoyancy, debility, diminished speed and extensive surfaces - weight in either case being a

**sine**qua non.Nomentum received the civitas

**sine**suffragio after the last war of the Latins against Rome (338 B.C.); in its municipal constitution the chief magistrate even in imperial times bore the title of dictator.As spring merges into summer, sunny days become more frequent; the ever-increasing breadth of beeforage yields still more abundantly, and the excitement among the labourers crowding the hives increases, rendering room in advance, shade and ventilation, a

**sine**qua non.The value of the clearness of an image-point in a median section is the

**sine**of the semi-aperture of the pencil multiplied with the refractive index of the medium.In dry-systems only the

**sine**of the semi-aperture is concerned; in immersion-systems it is the product of the refractive index of the immersion-liquid and the**sine**of the object-side semi-aperture.The

**sine**of this angle is the numerical aperture for dry lenses.The

**sine**qua non is to decide whether treaties require popular approval.Power series, radius of convergence, important examples including exponential,

**sine**and cosine series.A tuning fork produces a single note - a pure

**sine**wave.Belief in natural selection has become the

**sine**qua non of entry to much of polite society.They use

**sine**, cosine and tangent in right-angled triangles when solving problems in two dimensions.I have

**sine**reordered a couple of times and have been delighted.The inverse

**sine**is defined only in the domain from ` -1 ' to ` 1 ' .These currents are furnished by an alternator which transmits

**sine**currents over the line and operates a motor at the distant end of the line, both machines running in synchronism.Nor do we know anything of its history between 334 (when it probably became a civitas

**sine**suffragio under Roman domination, shortly afterwards receiving, in 318, a praefectus iure dicundo) and 215, when the Romans introduced a garrison of 6000 men to protect the town from Hannibal, who besieged it in vain for three days in 214.