If the tangent at P meets the asymptotes in R, R', then CR.CR' = CS 2.
If the tangent at P meets the asymptotes in R, R', then CR.CR' = CS 2.
The most prominent leader of the junta rt cr was its secretary Mariano Moreno 1 3' M (7 - 8 7 181I), who with a number of other active supporters of the patriot cause succeeded in raising a considerable force of Buenos Aireans to maintain, arms in hand, their nationalist and anti-Spanish doctrines.
Sieve Tubes.The sieve tubes consist of partially fused rows of cells, the transverse cr lateral walls being perforated by minute openings, through which the contents of the cells are connected with each other, and which after a certain time become closed by,the formation of callus on the sieve plates.
Join CR; the angle CRQ is then the eccentric anomaly.
CR * AMER, Karl Von (1818-1902), Bavarian politician, had a very remarkable career, rising gradually from a mere workman in a factory at Doos near Nuremberg to the post of manager, and finally becoming part proprietor of the establishment.
Group VI.: 0, usually divalent, but tetravalent and possibly hexavalent in oxonium and other salts; S, Se, Te, di-, tetraand hexa-valent; Cr, di-, triand hexa-valent; Mo, W, di-, tri-, tetra-, pentaand hexa-valent.
Al, Fe, Cr, Mn; Ce, U (in sesquioxides).
I 90`ls K cr?wSao 3?t` rin l se vai?
For 0=2, (a l a i +v 2 a 2) w; either v l or cr 2 will vanish if a1a2=A2=o; but every term, in the development, is of the form (222...)Ar and therefore vanishes; so that none are left to undergo reduction.
Again, if 0 is uneven =20+I, the condition is a 1 a 2 ...cr 241 II(a 1 +a 2)II(cr 1 +a 2 +(73)...II(a 1 +a 2 +...+ac) =0; and the degree, in the quantities a, is 20+1 + (42+1) +(21) ï¿½...-F(254)ï¿½1) =22°-1= 2e-1-1 Hence the lowest weight of a perpetuant is 2 0 - 1 -1, when 0 is >2.
The aldehydes may be prepared by the careful oxidation of primary alcohols with a mixture of potassium dichromate and sulphuric acid,-3Rï¿½CH OH+K Cr 07+4H SO = K2S04+ Cr (SO) +7H O+3Rï¿½CHO; by distilling the calcium salts of the fatty acids with calcium formate; and by hydrolysis of the acetals.
Proceeding in this way, we can express N in the form cr.nrr l + cr_I.nrr_1 1 + ï¿½.
Iaract RosseiT'uh Daingha Cr, s Benas Yarnb __ ____ _ _W, e_s Safra_ Khulesa Jidda s Rawaya cn ma Es Sed rg,,3 T Btuda Jalaja.
The remaining and less typical subordinal groups - sometimes ranked as orders by themselves - include among living animals the Proboscidea, cr elephants, and the Hyracoidea, or hyraxes, and among extinct groups the Amblypoda, Ancylopoda, Barypoda, Condylarthra, Litopterna and Toxodontia.
In any region of velocity where it is possible to represent p with sufficient accuracy by an empirical formula composed of a single power of v, say v m, the integration can be effected which replaces the summation in (to), (16), and (24); and from an analysis of the Krupp experiments Colonel Zabudski found the most appropriate index m in a region of velocity as given in the following table, and the corresponding value of gp, denoted by f (v)or v m lk or its equivalent Cr, where r is the retardation.
So that Denoting dx/dt, the horizontal component of the velocity, by q, (49) v cos i =q, equation (43) becomes (50) dq/dt= -r cos i, and therefore by !(48) (51) dq _dq dt ry di - dt di-g' It is convenient to express r as a function of v in the previous notation (52) Cr = f(v), dq _vf(v) di - Cg ' an equation connecting q and i.
/dal rI 7raparnp, cr[opev...
2, we obtain lap, bq, cr} 2 2= 2 t(lp+mq+nr)/(l-1-m+n)} 2, the accents being dropped, and p, q, r regarded as current co-ordinates.
This equation, which may be more conveniently written tap, bq, cr} 2 = (Ap+pq+vr) 2, obviously represents a circle, the centre being Xp+µqt-vr=o, and radius 20/p(X+µ+v).
If we make =,u=v o, p is infinite, and we obtain lap, bq, cr} 2 =o as the equation to the circular points.
The element is not found in the free state in nature, nor to any large extent in combination, occurring chiefly as chrome-ironstone, Cr 2 O 3 FeO, and occasionally being found as crocoisite, PbCrO 4, chrome-ochre, Cr 2 0 3, and chromegarnet, CaO Cr 2 O 3.3SiO 2, while it is also the cause of the colour in serpentine, chrome-mica and the emerald.
Chromous oxide, CrO, is unknown in the free state, but in the hydrated condition as Cr04H 2 0 or Cr(OH) 2 it may be prepared by precipitating chromous chloride by a solution of potassium hydroxide in air-free water.
The sesquioxide, Cr 2 0 3, occurs native, and can be artificially obtained in several different ways, e.g., by igniting the corresponding hydroxide, or chromium trioxide, or ammonium bichromate, or by passing the vapours of chromium oxychloride through a red-hot tube, or by ignition of mercurous chromate.
Several forms of hydrated chromium sesquioxide are known; thus on precipitation of a chromic salt, free from alkali, by ammonia, a light blue precipitate is formed, which after drying over sulphuric acid, has the composition Cr 2 0 3 -7H 2 0, and this after being heated to zoo° C. in a current of hydrogen leaves a residue of composition CrO.
Other hydrated oxides such as Cr 2 0 3.2H 2 0 have also been described.
The violet form gives a purple solution, and all its chlorine is precipitated by silver nitrate, the aqueous solution containing four ions, probably Cr(OH 2) 6 and three chlorine ions.
Heated in a closed tube at 180° C. it loses chlorine and leaves a black residue of trichromyl chloride, Cr 3 0 6 C1 2, which deliquesces on exposure to air.
Recoura, Annales de, Chimie et de Physique, 1895 (7), 4, p. 505.) Chromic sulphate combines with the sulphates of the alkali metals to form double sulphates, which correspond to the alums. Chrome alum, K2S04 Cr2(S04)3.24H20, is best prepared by passing sulphur dioxide through a solution of potassium bichromate containing the calculated quantity of sulphuric acid, K 2 Cr 2 O 7 -}-3SO 2 +H 2 S04 = H20+K2S04 4-Cr2(S04) 3.
The nitrate, Cr(NO 3) 3.9H 2 0, crystallizes in purple prisms and results on dissolving the hydroxide in nitric acid, its solution turns green on boiling.
Here, too, the reason of things - that which accounts for them - is no longer some external end to which they are tending; it is something acting within them, " a spirit deeply interfused," germinating and developing as from a seed in the heart of each separate thing that exists (X6yos cr repyartK6s).
It is principally due to a lack of alcohol in the wine cr to lack of acidity in the must.
At any point of this we have x y I = Ap. Bq: Cr, and the equation is therefore (I ~~r) x1+ (1 ~lll) yf+ (1 ~ 12=0.
For we have seen that r is constant when there are no extraneous forces; and r is evidently not affected by an instantaneous impulse which leaves the angular momentum Cr, about the axis of symmetry, unaltered.
If we now apply them to the case of a rigid body moving about a fixed point 0, and make Ox, Oy, Oz coincide with the principal axes of inertia at 0, we have X, u, v=Ap, Bq, Cr, whence A (B C) qr = L,
If we multiply theta by p, q, r, respectively, or again by Ap, Bq, Cr respectively, and add, we verify that the expressions Ap2 + Bqf + Cr1 and A1p2 + Bfqi + Ciri are both consta~it.
Whenever increases by 4K/cr, when K is the complete elliptic integral of the first kind with respect to the modulus k.
By combining the solutions corresponding to a pair of equal and opposite values of Cr we obtain a solution in real form:
This shows that the value of o~2 for the constrained mode is intermediate to the greatest and least of the values c/a,c/a, cr/a, proper to the several normal modes.
89) be R the joint, C its centre of resistance, CR a line representing the resistance, CN a perpendicular to the joint at the centre of C, resistance.
In order that the surfaces which abut at the Joint JK maybe pressed together, the resistance required by the conditions of equilibrium CR, must be a thrust and not a pull; and in that case the force by which the surfaces are pressed together is equal and opposite to the normal component CP of the resistance.