John Van Metre, an Indian trader, penetrated into the northern portion in 1725, and Morgan ap Morgan, a Welshman, built a cabin in the present Berkeley county in 1727.
Seized by the invaders, castle and town were later retaken in 1231 by Prince Llewelyn ap Iorwerth, who burned the fortress and slew its garrison.
Ptolemy Euergetes (247-222 B.C.) rendered the greatest service to geography by the protection and encouragement of Eratosthenes, whose labours gave the first ap proximate knowledge of the true size of the spherical The .
Later writers add nothing to our knowledge, and are chiefly interested in the tarandus, an animal which dwelt in the woods of the Budini and seems to have been the reindeer (Aristotle ap. Aelian, Hist.
': opal e ° °o T A R ple ' ag a ',ap iJ,wl Karkinit A C K r B L Scale, English Miles D S E A 32 Stavropol P O L A PI A N L A s E Derbent ° I?
With very few exceptions only the name AP/AKHI (with various epithets) occurs on the coins of the Parthian kings, and the obverse generally shows the seated figure of the founder of the dynasty, holding in his hand a strung bow.
Ap. Apical organ.
Dinon ap. Athen.
Ctesias ap. Photium 2-7; many traces of it were afterwards transferred to the story of Ardashir I.
Berossus (ap. Euseb.
Ephorus ap. Strabo, viii.
He has only one symbol (written somewhat like a final sigma) for an unknown quantity, which he calls apc0µ6s (defined as "an undefined number of units"); the symbol may be a contraction of the initial letters ap, as A Y, K Y, D Y O, &c., are for the powers of the unknown (Suvaµcs, square; icu(30s, cube; Svva,uo& va i ccs, fourth power, &c.).
In 1485 Henry, earl of Richmond, disembarked here on his return from France, and was welcomed on landing by Sir Rhys ap Thomas and much of the chivalry of Wales.
1, and Arrian ap. Phot.
Some personal relics of the celebrated Sir Rhys ap Thomas, K.G.
All symmetric functions are expressible in terms of the quantities ap g in a rational integral form; from this property they are termed elementary functions; further they are said to be single-unitary since each part of the partition denoting ap q involves but a single unit.
The transformation to the normal form, by the solution of a cubic and a quadratic, therefore, supplies a solution of the quartic. If (Xï¿½) is the modulus of the transformation by which a2 is reduced to 3 the normal form, i becomes (X /2) 4 i, and j, (Ap) 3 j; hence?
When C vanishes j has the form j = pxg x, and (f,j) 3 = (ap) 2 (aq)ax = o.
Hence, from the identity ax (pq) = px (aq) -qx (ap), we obtain (pet' = (aq) 5px - 5 (ap) (aq) 4 pxg x - (ap) 5 gi, the required canonical form.
Versions ap X ab and aXab), a Hebrew name, mentioned only once in the Old Testament (Gen.
Ap, Anterior lateral process (same as RAP and LAP in fig.
Only the central and horizontal parts of this structure correspond precisely to the entosternite of Limulus: the right and left anterior processes(marked ap in figs.
» III A, Dorsal view; I to VI, HIV the six prosomatic ap -' V pendages.
A well-preserved gateway of red sandstone and portions of two towers of the castle are included in the buildings of the present gaol, and the old parish church of St Peter contains some interesting monuments, amongst them being the altar tomb (of the 6th century) of Sir Rhys ap Thomas, K.G., and his wife, which was removed hither for safety at the Reformation from the desecrated church of the neighbouring Priory of St John.
Thus, while of German periodicals ap p earing in Hungary there were in 1871 only 85, they increased in 1880 to 114, in 1885 to 141; and they were, at the beginning of 1895, still 128, in spite of the constant spread of that process of Magyarization which has, since 1880, considerably changed the linguistic habits of the people of Hungary.
(iii.) (a) If a= then x = aP. (b) If p = log a x, then x = aP. (2) Where the inverse operation is performed with the unknown quantity or number: (i.) If B=A-X, then A=B+X.
It should be observed that, by analogy with the definition of a fraction, a P l q mean (al/q)P, not (aP)llq.
Dafydd ap Ieuan ap Einion held it for the Lancastrians, until famine, rather than Edward IV., made him surrender.
Bouring point P, also self luminous, in the plane of the object, the waves which issue from it will arrive at B with phases no longer absolutely concordant, and the discrepancy of phase will increase as the interval AP 2 " Man kann daraus schliessen, was moglicher Weise durch Mikroskope noch zu sehen ist.
The question is to what amount must the distance AP be increased in order that the difference of situation may make itself felt in the image.
Now since AP is very small, AL' - PL'= AP sin a, where a is the angular semi-aperture L'AB.
Then the potential at any point P in this ideal plane PO is equal to q/AP-q/BP=0, whilst the resultant force at P due to the two point charges is 2gAO/AP 3, and is parallel to AB or normal to PO.
The resultant force due to these two pointcharges must then be in the direction CP, and its value E is the vector sum of the two forces along AP and BP due to the two point-charges.
Littre accepts the following thirteen as absolutely genuine: (I) On Ancient Medicine (IIEpi ap X airs i f rpLK'Y / s); (2) The Prognostics (IIpoyvcovruK6v); (3) The Aphorisms ('AOopc-pot); (4) The Epidemics, i.
According to Castor (ap. Syncell.
While directing a fire of hot shot to burn the "Congress," Commodore Buchanan of the "Merrimac" was severely wounded and was succeeded in the command by Lieutenant Catesby ap Roger Jones.
4 let AB be the axis of composition, AP be the vapour pressure of pure A, BQ the vapour pressure of pure B.
For immiscible liquids the vapour pressure curve is the horizontal line ab, described so that aP = QB and bQ=AP. For partially miscible liquids the curve is Pa i b i Q.
William and Rees ap Tudor captured Conway Castle on the ist of April 1401, and Percy in company with the prince of Wales set out to recover the place, Percy providing the funds.
Ignoring temperature effect, and taking the density as a function of the pressure, surfaces of equal pressure are also of equal density, and the fluid is stratified by surfaces orthogonal to the lines of force; n ap, dy, P d z, or X, Y, Z (4) are the partial differential coefficients of some function P, =fdplp, of x, y, z; so that X, Y, Z must be the partial differential coefficients of a potential -V, such that the force in any direction is the downward gradient of V; and then dP dV (5) ax + Tr=0, or P+V =constant, in which P may be called the hydrostatic head and V the head of potential.
3 / second, across any curved line AP from A to P, this being the same for all lines in accordance with the continuity.