The King was quite willing that this should be, butSines belonged to the Order of S.
And yet, with unremitting labour, and an infinite reciprocation of sines and arcs, I did get so far as to be convinced that this theory could not hold.
Fifthly, whether the images rise in proportion to the sines of the inclinations?
Sixthly, are then the images raised at first, and in perpendicular radiation, according to the proportion of the mediums, and do they subsequently rise more and more according to the sines of the inclinations?
The second, or harmonic method, leads to a series of terms involving sines and cosines, the coefficients of which have to be determined.
The amplitude of the curve of sines is a simple harmonic function of the time, the period being either the fundamental period or some submultiple of the fundamental period.
Thirdly, opposite to those Sines on the other side are the Logarithmall Tangents, noted alike both in the moveable and fixed thus 6.
And opposite unto it, in the fixed is a Graduation of Logarithmall sines in every thing answerable to the first descrition of Sines on the other side.
On page (86) he says: I have continued the Sines of the Projection unto two severall revolutions, the one beginning at 77.
Delamain hearing that Brown with his Serpentine had another line by which he could worke to minutes in the 90 degree of sines .
The instrument has, or may have now, also lines of sinesand tangents.
The object of the paper is to show in what cases a function f(x), which is to have certain arbitrary values between certain values of x, can be expanded in a series of sines and when in a series of cosines.
Having made these observations, I first computed from them the refractive power of the glass, and found it measured by the ratio of the sines 20 to 31.
The title of Gunter's book, which is very scarce, is Canon triangulorum, and it contains logarithmic sines and tangents for every minute of the quadrant to 7 places of decimals.
The table gives the logarithms of sines for every minute of seven figures; it is arranged semi-quadrantally, so that the differentiae, which are the differences of the two logarithms in the same line, are the logarithms of the tangents.
Natural sines 1 " Logarithms of the ratios of arcs to sinesfrom 0^q.
The printing of the table of natural sines was once begun, and Lefort states that he has seen six copies, all incomplete, although including the last page.
In the same year Vlacq published at Gouda his Trigonometria artificialis, giving log sines and tangents to every 10 seconds of the quadrant to 10 places.
Lemme tell you dis, Brer Ab: don't you let deze sines onsettle you.
But these sines are the lines KL and GQ, if GK is taken as the radius of the circle.
Here BL and KM are the sines of angles BKL, KBM; that is to say, of the angles PBA, QBC; and therefore they are to one another as the velocity of light in the medium A is to the velocity in the medium C.
But these sinesare the straight lines HF, BG, if we take BF as the semi-diameter of a circle.
And such a Proof will be had, if we can shew that the Sines of Refraction of Rays differently refrangible are one to another in a given Proportion when their Sines of Incidence are equal.
If Refraction be perform'd by Attraction of the Rays, the Sines of Incidence must be to the Sines of Refraction in a given Proportion, as we shew'd in our Principles of Philosophy: And this Rule is true by Experience.
In Light of other Colours the Sines have other Proportions: but the difference is so little that it need seldom be considered.
That y^e punishmente of these foule sines w^th death is grounded on y^e law of nature, & is agreeable to the morall law.
We will gossip about sines and co-sines before we die.
Uncle Josh's Comments on the Signs Seen in New York I SEEN a good many funny things when I wuz in New York, but I think some of the sines what they've got on some of the bildins' are 'bout as funny as anything I ever seen in my life.
He had designed to publish a second table, with the logarithms of sines and tangents to the 100th part of a degree.
He was surprised to find that, after a calculation founded upon his own principle, the real truth of a constant ratio between the sines of the angles came out according to the theorem of Descartes.
Gunter had as early as 1620 given the logarithms of sines and tangents on the sexagesimal scale, as far as seven decimals.
Knowing the sines and the cosines of two arcs a and b, to find the sine and the cosine of their sum and of their difference.
Now this proportion is found by experiment the same with that of the sines of incidence and of refraction between air and glass; which agrees with the theory of the refraction of undulations, as will be seen hereafter.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "sines" in a variety of sentences. We hope that you will now be able to make sentences using this word.
