## Cos Sentence Examples

- Sulphides of cobalt of composition C04S3,
**CoS**, C03S4, C02S3 and**CoS**2 are known. - The most common of these sulphides is cobaltous sulphide,
**CoS**, which occurs naturally as syepoorite, and can be artificially prepared by heating cobaltous oxide with sulphur, or by fusing anhydrous cobalt sulphate with barium sulphide and common salt. **Cos**(21r/X)(bt - x), and the resultant will then represent the whole actual disturbance at 0 as modified by the particles in the stratum dx.- If this be represented by
**Cos**- x (bt - x - S),. - "Napier's analogies" are the four formulae - tan (A +B)
**cos**=**cos**l(a - b) cotzC, tan2(A - B) - sin(a - b)cot2C; a (a+b) sine (a+b) tan a(a +b) =**cos**(A - B) tan1c, tan2(a - b) = s in(A - B) tan2c. **Cos**z (A+B) sine (A+B) They were first published after his death in the Constructio among the formulae in spherical trigonometry, which were the results of his latest work.- If, then, the speed of the ship be v, the rate of paying out u, the angle of immersion i, the depth of the water h, the weight per unit length of the cable w, the pull on the cable at the surface P, and A, B constants, we have P =ht w- (A/sin i)f(u-v
**cos**i)} (a) and w**cos**i= Bf (v sin i) (3), where f stand for " function." - The factors Af (u-v
**cos**i) and Bf (v sin i) give the frictional resistance to sinking, per unit length of the cable, in the direction of the length and transverse to the length respectively. - The following are the chief islands: - Thasos, in the extreme north, off the Macedonian coast; Samothrace, fronting the Gulf of Saros; Imbros and Lemnos, in prolongation of the peninsula of Gallipoli (Thracian Chersonese); Euboea, the largest of all, lying close along the east coast of Greece; the Northern Sporades, including Sciathos, Scopelos and Halonesos, running out from the southern extremity of the Thessalian coast, and Scyros, with its satellites, north-east of Euboea; Lesbos and Chios; Samos and Nikaria;
**Cos**, with Calymnos to the north; all off Asia Minor, with the many other islands of the Sporades; and, finally, the great group of the Cyclades, of which the largest are Andros and Tenos, Naxos and Paros. - The most important inlet, the Ceramic Gulf, or Gulf of
**Cos**, extends inland for 70 m., between the great mountain promontory terminating at Myndus on the north, and that which extends to Cnidus and the remarkable headland of Cape Krio on the south. - It was not so much the relation between pistis and gnosis - faith and knowledge - as defined by Origen that gave offence, but rather isolated propositions, such as his doctrines of the pre-existence of souls, of the soul and body of Christ, of the resurrection of the flesh, of the final restoration, 1 "Communis substantiae est filio cum patre; ior6ppoca enim 6 l .00v -
**cos**videtur, i.e. - Its cartesian equation, when the line joining the two fixed points is the axis of x and the middle point of this line is the origin, is (x 2 + y 2)2 = 2a 2 (x 2 - y 2) and the polar equation is r 2 = 2a 2
**cos**20. - The elliptic lemniscate has for its equation (x 2 +31 2) 2 =a 2 x 2 +b 2 y 2 or r 2 = a 2
**cos**2 9 +b 2 sin 20 (a> b). - The hyperbolic lemniscate has for its equation (x2 +y2)2 = a2x2 - b 2 y 2 or r 2 =a 2
**cos**2 0 - b 2 sin 2 B. - When passed with carbon dioxide through a red-hot tube it yields carbon oxysulphide,
**COS**(C. Winkler), and when passed over sodamide it yields ammonium thiocyanate. - The polar equation is r= I -f - 2
**cos**0 and the form of the curve is shown in the figure. - Its control of the Aegean was, however, contested not without success by the Antigonids, who won the two great sea-fights of
**Cos**(c. 256) and Andros (227), and wrested the overlordship of the Cyclades from the Ptolemies. - Then we have sin 2 D =sin a sin zt, and since sin a=sin (90°-1) =
**cos**1, it follows that sin ID =**cos**1 sin it. - Thus,
**cos**D -**cos**a**cos**b**cos**sin a sin b**cos**D =**cos**a**cos**b + sin a sin b**cos**t = sin 1 sin l' +**cos**1**cos**l**cos**t. - In order to adapt this formula to logarithms, we introduce a subsidiary angle p, such that cot p = cot l
**cos**t; we then have**cos**D = sin 1**cos**( - p) I sin p. In the above formulae our earth is assumed to be a sphere, but when calculating and reducing to the sea-level, a base-line, or the side of a primary triangulation, account must be taken of the spheroidal shape of the earth and of the elevation above the sealevel. - The siege, which was finally conducted by the sultan in person, was successful after six months' duration; the forts of
**Cos**and Budrum were also taken. - Of the quadratic axe+2bxy+cy2, he discovered the two invariants ac-b 2, a-2b
**cos**w+c, and it may be verified that, if the transformed of the quadratic be AX2=2BXY+CY2, sin w 2 AC -B 2 =) (ac-b2), sin w A-2B**cos**w'+C = (sin w'1 2(a - 2bcosw+c). - Sin w The fundamental fact that he discovered was the invariance of 2
**COS**w xy+y 2, viz. - 2
**cos**w xy+y 2 = X 2 +2**cos**w'XY+Y2, from which it appears that the Boolian invariants of axe+2bxy-y2 are nothing more than the full invariants of the simultaneous quadratics ax2+2bxy+y2, x 2 +2**cos**coxy+y2, the word invariant including here covariant. - In general the Boolian system, of the general n i °, is coincident with the simultaneous system of the n i °' and the quadratic x 2 +2
**cos**w xy+y2. - In both cases ddl and dal are cogredient with xl and x 2; for, in the case of direct substitution, dxi =
**cost**dX i - sin 00-(2, ad2 =sin B dX i +**cos**O dX 2, and for skew substitution dai =**cos**B dX i +sin 0d2, c-&-- 2 n d =sin -coseax2. - If r and r' make angles 0 and 0 with the axis, it is easily shown that the equation to a line of force is
**cos**0 -**cos**B'= constant. - (9) At the point where a line of force intersects the perpendicular bisector of the axis r=r'=r o, say, and
**cos**0 -**cos**0 obviously =l/r o, l being FIG. - The potential due to a small magnet of moment M, at a point whose distance from the centre of the magnet is r, is V=M
**cos**0/r 2, (io) where 0 is the angle between r and the axis of the magnet. - 3) by F, and its components parallel to the co-ordinate axes by X and Y, we have X= - ax = M(3
**cos**' 0 - I), Y= - y = M (3 sin 0**cos**0. - If F T is the force along r and F t that along t at right angles to r, F r =X
**cos**0+ Y sin 0=M 2**cos**0, F t = - X sin 0+ Y**cos**0 = - r 3 sin 0. - -+F t 2 =M 13
**cos**t 0+1. - For a point in the line OY bisecting the magnet perpendicularly, 0 =42 therefore
**cos**0 =0, and the point D is at an infinite distance. - It can be deduced from (17), (12) and (13) that the couple on S'N' due to SN, and tending to increase 4), is MM' (sin 0
**cos**4-2 sin 4)**cos**0)/r'. - (18) This vanishes if sin 0
**cos**4)=2 sin 4**cos**0, i.e. - The components X, Y, parallel and perpendicular to r, of the force between the two magnets SN and S'N' are X =3MM'(sin 0 sin 4)-2
**cos**0**cos**4)/r 4, (21) Y=3MM'(sin 0**cos**4-{-sin 4**cos**0)/r 4 . - The potential due to a uniformly magnetized sphere of radius a for an external point at a distance r from the centre is V =:I ra 3 I
**cos**0/r 22, (23) 0 being the inclination of r to the magnetic axis. - Let 0 be the angle which the standard magnet M makes with the meridian, then M'/R = sin 0, and M/R =
**cos**0, whence M' = M tan 0. - The strength of the induced current is - HScosO/L, where 0 is the inclination of the axis of the circuit to the direction of the field, and L the coefficient of self-induction; the resolved part of the magnetic moment in the direction of the field is equal to - HS 2
**cos**2 6/L, and if there are n molecules in a unit of volume, their axes being distributed indifferently in all directions, the magnetization of the substance will be-3nHS 2 /L, and its susceptibility - 3S 2 /L (Maxwell, Electricity and Magnetism, § 838). - The middle element alone contributes without deduction; the effect of every other must be found by introduction of a resolving factor, equal to
**cos**0, if 0 represent the difference of phase between this element and the resultant. - If the primary wave at 0 be
**cos**kat, the effect of the secondary wave proceeding from the element dS at Q is dS 1 dS - p**cos**k(at - p+ 4 A) = - -- sin k(at - p). - If dS =27rxdx, we have for the whole effect 27r œ sin k(at - p)x dx, f P ' or, since xdx = pdp, k = 27r/A, - k fr' sin k(at - p)dp= [-
**cos**k(at - p)]°° r. **Cos**k(at-r), it is necessary to suppose that the integrated term vanishes at the upper limit.- The whole effect is the
**cos**Ode: 7r, r+a, half of that of the first existing zone, and this is sensibly the same as if there were no obstruction. - The amplitude of the light at any point in the axis, when plane waves are incident perpendicularly upon an annular aperture, is, as above,
**cos**k(at-r 1)-**cos**k(at-r 2) =2 sin kat sin k(r1-r2), r2, r i being the distances of the outer and inner boundaries from the point in question. - The maxima occur when u=tan u, (4), and then sin 2 u/u 2 =
**cos**2 u (5). - When, as in the application to rectangular or circular apertures, the form is symmetrical with respect to the axes both of x and y, S = o, and C reduces to C = ff
**cos**px**cos**gy dx dy,. - This integral is the Bessel's function of order unity, defined by J,(z) n (z
**cos**0) sin 24 d4).. - Thus, if x = R
**cos**4), C =,r2R2J1(pR) pR and the illumination at distance r from the focal point is 4T2 r 21rRr1 fX (2 fKr) a J The ascending series for J 1 (z), used by Sir G. - Trans., 1834) in his original investigation of the diffraction of a circular object-glass, and readily obtained from (6), is z z 3 25 27 J1(z) = 2 2 2.4 + 2 2.4 2.6 2 2.4 2.6 2.8 + When z is great, we may employ the semi-convergent series Ji(s) = A/ (7, .- z)sin (z-17r) 1+3 8 1 ' 6 (z) 2 3.5.7.9.1.3.5 5 () 3 1 3.5.7.1 1 3
**cos**(z - ?r) 8 ' z (z) 3.5.7.9.11.1.3.5.7 1 5 + 8.16.24.32.40 (z