The New York herald., 1851-08-20

The melon furnishes = mild but very pleasant liquor
For this the muskmelon Is much superior to the
watermelon.
CAT ISLAND TIDys
The following additional notes OF discussion Of
tidal observations made in connectn with the Coast
Survey at Cat Island in the Gulf of Mexico by Prof
ID. BacLe Superintendent
(.ijstract)
In the communication On the subject Of the tides at
Cat Island coast Of louisiana at the New Haven meet
ing Of the American Association, Prof Bsche showed
that be had succeeded in decomposing the curves Of
rise and fell into durnal and semidiurna curve
witch were nearly curves Of sines the diurnai
having It's maximum approximately nine
hours in advance Of the first maximum Of the
semi ciurnel curve, and the interference Of tn Sc
two waves producing the tidal wave observed.
Tho compGrison Of the deduced from the ober
yations ft three months and the computed Of
sinss was shown to be satifactory This comparison
bnsd into general mean has now been extended to
the whole year, with results not differing than
quarter q inch from observation the
which dsduced BY summing the square Of the H.
little more than one. eighth Of an inch.
The O: since accordingly used to determine
the heights q the diurnal and semi durnal waves
which the tidal wave is composed.
The pre.ent communication intended TO show
closely the numerical results obtained follow the
theory of The tides to furnish the basis for predic
ton tables. from theory and observation combined.
The results we're considered under two heads: the
height and time Of the xiInum of the dlurna wave
end the same tor the senicurnsl wave.
1t is first shown that the heights Of the durnal tide
cordIg to the r,ceyedsw Of the sine " twice the de-
clinatiop.
That they also Affected by changes of the
declinaticn. vary ing also with twice its sine
That they affected by changes In the parallax Of
th. moon. and vary according TO the received law.
The eoients in the formula for the height Of the
tide obtained by the method OF eat squares
snd also by comparing the in which the suns
ton vas small and the moons great aud vice versa This
results partially the The )efeients Of the
suns action sgr,cs also with that deduced from cons
deratisns connected with the semi durnsl tide.
Tables given these and the other results and
daRrsns illustrating them graphically.
The rcsidua from the foregoing discussion next
deduced snd the results were cased according to the
time q the moons transit and ouud 10 follow the law
not OF tie diurrs but u the wave. Taxing
the result from the resdusls properly arranged
from - hours of the moons transit there remained
very snail quantities (hose q positive and negative
Signs nearly balancing each other following In general
way the Law q the small ysriation In the diurn
The Of the existence Il the residual Of the
of the ssmi durr al trssei u the hypothesis
Of the difference ia interval Of the two The residual
rtsinr it, form after certain resulting from
the mthct q gutaiior and the assumption that the
maximum ordinates wire those given by the formula,
had been mall.
In the course q the discussion Of the observation, Il
shown that the residual quantity referred o.
tsined involving the zine Cf twice the declua-
ticn that the action Il the moon is the same when
hsvrg The Gocpation north south Of the equl-
tor ard that charging the epoch 20 which the changes
are rfrred would be without fsnsibe ect In the result
The conformity of the results for the semidi1rnal
with theory had Professor Bsehe stated exceed
cd biz sncpsors. the laws Of the phenomena showing
through The irregularities u the phenomena In the
~ the times which irregular.
The half monthly insq gaty Ia time and height was
shown 70 be deducible from the obsorvatons following
closely the laE dsducsd from theory
The interval CORES ponds 20 l2n 35n aer the
moons transit The interval rres posdiny 10 the
transit % sh som aud az sb 5r y nearly the
with that found for liverpool by Mr. Luttock Civ
ing value of the constant (A nearly the es his
The value Of the relative masses q the sua and moon,
thu deduced s nearly the with that given by Mr..
LutCck from his Dyeg alton ~ the tides Of Liverpool
and London. viz 1-elC6 The greatest and least
keights correspond with the avesgc interval they
should do by Befncullis' theory
Professor Bsehe stated that the computations from
which the foregoing results desiucet had been
neraly made under his immediate direction By Lieut.
Irc~brdge, q the corps of Engineers sstant in the
Coast Survey aDd by Messra Ws,lsworth. Gordon aud
Hoos q the Coast Survey
OtLer papers under discussion, bat must close
my present. despatch J. X.