noun
definition
In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.
Examples of 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.
The short vertical line above the sine theta axis marks the position of the Ti K absorption edge.
The spectrum contains just one component, at 256 Hz, because the pure tone is a single sine wave.
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 Any sound can be constructed by adding up enough sine waves of differing intensity levels, frequencies and starting times.
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.
In 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.
The 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.
The 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.
Three 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.
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".