Thus if the plane is normal to Or, the resultant thrust R =f fpdxdy, (r) and the co-ordinates x, y of the C.P. are given by xR = f f xpdxdy, yR = f f ypdxdy.
The components of velocity of the moving origin are denoted by U, V, W, and the components of angular velocity of the frame of reference by P, Q, R; and then if u, v, w denote the components of fluid velocity in space, and u', v', w' the components relative to the axes at a point (x, y, z) fixed to the frame of reference, we have u =U +u' - yR +zQ, v =V +v -zP +xR, w=W +w -xQ +yP.
Pwllheli commands a good view of Merionethshire and of the Snowdon range, with the entire sweep of Cardigan Bay, Carreg yr ymbill (gimlet stone) at the mouth of the harbour, Abersoch and St Tudwal's Islands.
Among his publications were the well-known quarterly magazine Y Traethodydd (" The Essayist"), Gwyddoniadur Cymreig (" Encyclopaedia Cambrensis"), and Dr Silvan Evans's English-Welsh Dictionary (1868), but his greatest achievement in this field was the newspaper Baner Cymru (" The Banner of Wales"), founded in 1857 and amalgamated with Yr Amserau (" The Times") two years later.
Summing up for all the forces of the given system, we obtain a force R at 0, whose components are X~(X,), Y~~(Yr), Z~(Z,), (6)
If P, be the force at (Xr, Yr, Zr), acting,in the direction (1, m, n), the formulae (6) and (~) reduce to X = Z(P).
Let yr be the linear velocity of the point E fixed in the plane of axes AOB.
Accidence.-Welsh has a definite article yr, " the," which becomes r after a vowel, and y before a consonant unless already reduced to r.
Thus yr oen, " the lamb," i'r ty, " into the house," yn y ty, " in the house."
The relative pronouns are nominative and accusative a, oblique cases ydd, yr, y.
The expressions yr hwn, y neb, " the one," are mistaken for relatives by the old grammarians; the true relative follows: yr hwn a =" the one who."
Affirmative particles: yr, fe.
In Welsh the name is Ynys yr Afallon, usually interpreted "Isle of Apples," but possibly connected with the Celtic tradition of a king over the dead named Avalloc (in Welsh Afallach).
Yr Cr ii ?
Above the river bed, and the Craig-yr-allt Goch dam, subject to a head of 133 ft.
As such he is e yr j rcop (" leader"), oiKivTfs (" founder"), 8cop.arirns (" god of the home").