164.) Substituting this value of p in (27) I.H.P. _ (c av (29) 550 the form of which indicates that there is a certain piston speed for which the I.H.P. is a maximum.
Procopius says that they were far more civilized than the Huns of Attila, and the Turkish ambassador who was received by Justin is said to have described them as av-rucoi, which may merely mean that they lived in the cities which they conquered.
Similarly, for the order 3, we take 1 v Ab= -v 1 A =1 +x2 + 1, 2 + ï¿½ - A 1 and the adjoint is 1+A v +Aï¿½ -ï¿½ +Av -v +Aï¿½ 1+11 2 A +/-tv pt+AvA +ï¿½v 1 +1,2 leading to the orthogonal substitution Abx1 = (1 +A 2 - / 22 - v 2) X l +2(v+Aï¿½)X2 +2(/1 +Av)X3 1bx2 = 2(Aï¿½ - v)Xl+(1 +ï¿½2 - A2 - v2)X2 / +2(Fiv+A)X3 Abx3 = 2(Av +ï¿½)X1 +2(/lv-A)X2+(1+v2-A2- (12)X3.
From the series for G and H just obtained it is easy to verify that dH = - 7rvG, dv av - dG _ 7rvH -1.
30.3: St' EKEivov av ip0977 Tou Kai H y 'AlroKaXokt y EcepaKOTOS o15 E 'yap 7r0 7roXXOJ xpovov EWpeter/, aXXa U X Esov E7r1 T'91 iii.IETEpas ')'EUEas, ran TW ?Exec T?)s AoµETtavou - Apx7)s.
72 with arcs of the length 1,, l2, l3, &c., and with the radii r1, r 2, &c. (note, for a length 2l 1 at each end the radius will be infinite, and the curve must end with a straight line tangent to the last arc), then let v be the measured deflection of this curve from the straight line, and V the actual deflection of the bridge; we have V = av/b, approximately.
If At seconds is the time during which the resistance of the air, R it), causes the velocity of the shot to fall Av(f/s), so that the velocity drops from v+2Av to v-2Av in passing through the mean velocity v, then (3) Rot = loss of momentum in second-pounds, =w(v-+ZAv)/g - w(v - 2 Av)/g = wAv/g so that with the value of R in (I), (4) At =wAv/nd2pg.
We put and call C the ballistic coefficient (driving power) of the shot, so that (6) At = COT, where (7) AT = Av/gp, and AT is the time in seconds for the velocity to drop Av of the standard shot for which C = I, and for which the ballistic table is calculated.
Since p is determined experimentally and tabulated as a function of v, the velocity is taken as the argument of the ballistic table; and taking Av =10, the average value of p in the interval is used to determine AT.
Denoting the value of T at any velocity v by T (v), then (8) T(v) = sum of all the preceding values of AT plus an arbitrary constant, expressed by the notation (9) T(v) =Z(Av)/gp+ a constant, or fdv/gp+ a constant, in which p is supposed known as a function of v.
A€Lt av), a drink offering, the pouring out of a small quantity of wine, milk or other liquid as a ceremonial act.
Diogenes Laertius says, "If the gods use dialectic, they can use none other than that of Chrysippus"; A yap v Xpuvciriros, oinc av i v Ewa, ("Without Chrysippus, there had been no Porch").
(5) It was the duty of the prophets to follow in all respects the example of the Lord (')(av Toic Tpolrous Tov Kuplov), and to put in practice what they preached.
The other treatises of Apollonius mentioned by Pappus are - 1st, Aayov alroropii, Cutting off a Ratio; 2nd, Xcopiov a7rorop, Cutting off an Area; 3rd, Ocwpui j Av i Tog, Determinate Section; 4th, 'Eiraci)aL, Tangencies; 5th, 11-€1,o-as, Inclinations; 6th, Tinrot bri ret50t, Plane Loci.
In development some Lamellibranchia pass through a free-swimming trochosphere stage with preoral ciliated band; other fresh (I) ' Av B m 10 ad 3r ?/ a.: a il J FIG.
7, I), by separating the declamatory (E7rt6ELKTLK011) from the deliberative (bjwjyoptcOv, av,u ovXEVTLKOV) and judicial (SLKavtKOV); whereas his rival Isocrates had considered that laudation and vituperation, which Aristotle elevated into species of declamation, run through every kind (Quintilian iv.
The other images on the parhelic circle are the paranthelia (q) and the anthelion (a) (from the Greek av-ri, opposite, and iXcos, the sun).
Hence the Greek phrase &Xas Kai rpasrq"av irapa13aivecv, the Arab phrase " there is salt between us," the expression " to eat the salt of the palace " (Ezra iv.
Av avcu', to increase, j.
(u cos av)j/A sin4 a.
~=o, whence aV/aq~=o.
Again, the expression (22) will also have a least value when the ratios x: y: 1 are subject to the conditton av ~v av x1~+y1~----+z1~- ~O; (24)
The remaining value in1 is the value of (22) when x: y: z are chosen so as to satisfy (24) and av ~V aV
Av ~l ~+~+flfrqi+~srqi+..
AV 0 ?
Kpinn-av, to hide), a kind of secret police in ancient Sparta, founded, according to Aristotle, by Lycurgus; there is, however, no real evidence as to the date of its origin.
ANADYOMENE ('AvaSvo l av), an epithet of Aphrodite (Venus), expressive of her having sprung from the foam of the sea.
Av-, privative, and aiï¿½a, blood), literally "want of blood," a word used as a generic term for various forms of disease characterized by a defective constitution of the blood.
Av-, priv., o vo, pain) relieve pain only, but, as in Analgesics (Gr.