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20
Station. Pvhde. (into.) Therm. Therm. Oils. Ber. (Co,,,,,.) Dim
N.i. Favne. 1. X & ■/,. Corr. Corr. O-B.
277 225 l".IO 0°.g2 — 0". 18 — 0I,.04 — 0". I 4
204 637 — i .og — I -25 — 0.16 .12 — 4
2Q6 1440 — 1 .09 — i -31 — 0 .22 •27 -f 5
303 1200 - 1 .38 — I .61 — 0 .23 .22 — i
311 8Q8 - 1 .OQ — I .31 — 0 .22 ,l6 — 6
324 233 0 .qo 0 .89 — 0 .01 .04 + 3
332 i ug - I .38 — I -4" — 0 .03 .21 + "8
342 523 — 0 .8g — 1.05 — 0 .16 .10 — 6
343 743 — 0 .go - ■ .25 — 0 .26 •■3 — 13
344 1017 — i .og — I .25 — 0.16 .10 ! + 3
354 1343 — i .00 — I .25 — 0 .16 ■25 + 0
355 <,48 — I .tg — i -3> — 0 .12 .17 + 5
35Q 4.6 0 .85 0 .70 — 0 .06 .08 + 2
360 421 0 .10 — 0 .03 0 .13 .08 — 5
367 535 — 0 .64 — 0 -74 — 0 .10 .10 0
368 315 I .71 i .61 — 0 .10 .06 — 4
I2043
Kaldes Corrcotionen for Trykket c, Dybden i Favne
h, sætter jeg
c = h
og bestemmer den sandsynligste Værdi af Coeffioienten
af Ligningen
^ c = 2: h : ,1 2 h, ß - ~ C •
2 h
For Thermometer No. I bliver altsaa
j 2-3° i
5 r ––– — —O.OOOIOI Og C r —O.OOOIQI 11.
12043
For 1000 Favne c = —o". 191
„ 2000 „ c = —o .382
Man ser, at de enkelte observerede Correctionsværdier
samtlige ere negative, saaledes som Forudsætningen er.
I den sjette Rubrik er opført de efter Formelen
beregnede Trykcorrectioner, og i den sidste Rubrik
Forskjellen mellem do observerede og beregnede Værdier. Af
Summen af disse, uden Hensyn paa Fortegn, divideret med
Observationernes Antal (16) findes den gjennemsnitlige
Afvigelse for en enkelt Bestemmelse lig + 0°.061. Denne
indeslutter Fejlene i Indexthermometrets Aflæsning, i dets
Nulpunktbestemmelse, i Skala-Correctionen, i
Trykcorrec-tionen samt i Vendethernioinetrets Aflæsning og i dets
Ska-lacorrection. Sættes disse sidste tilsammen til + 0°.0ö,
bliver den midlere Fejl af en enkelt fuldstændig reduceret
Observation med Miller-Casella No. I kun + 0°.03. Da
imidlertid Vendethermoniétrene aflæses med samme
Nøjagtighed som Miller-Casella’s Indexthermometre, fremgaar
som Resultat, at de forskjellige Correctioner ikke indføre
nogen merkelig Usikkerhed i de reducerede Værdier for
Temperaturen, og at Usikkerheden ene ligger i
Aflæsningen. Dennes sandsynlige Fejl kan sættes til omkring
+ 0°.05.
— 2°.3o MF =: + ou.o6i
Now, assuming the correction for pressure to be termed
c, the depth in fathoms h, I put
c = ß h
and take the most probable value of the coefficient ß from
the equation
2 c = 2 (i h = ,i 2 h, ei -
Jh
Hence, for Thermometer No. I,
ti — — —^3° _ —0.000101 and c = —o.oooiqi h.
12043
For 1000 fathoms c = —o".iqi
„ 2000 ,, c —o .382
We perceive that each observed value of correction is
invariably negative, as theory assumes.
In the sixth column are given the pressure-correctioiis
computed from the formula, and in the last column, the
difference between the observed and computed values. From
the sum of these values, without reference to signs, divided
by the number of observations (16), is found the average
deviation of a single determination, which equals + 0°.061.
This result comprises the errors in the reading of the
index-thermometer when determining the zero-point for
that instrument, those in the scale-correction, the
pressure-correction, as also those in the reading of the
inverting-therniometer and in its scale-correction. Now, if we take
the last of these together at + 0ft.l)5, the mean error of a
single fully reduced observation with Miller-Casella No. I
will amount to only + 0°.03. Meanwhile, as the
inverting-therniometers are read off with the same accuracy as the
Miller-Casella index-thermometers, the result must be, that
the various corrections do not occasion any sensible
uncertainty in the reduced values for temperature, but that
the uncertainty lies exclusively in the reading. The
probable error of the latter may be put at about + 0°.05.
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