omhyggeligt sammenlignet med det meteorologiske Instituts | carefully compared with the Standard-Thermometer of the 
Normalthermometer ved forskjellige Temperaturer, og dets Meteorological Institute at various temperatures, and its 
Stand ved 090 undersøgt i smeltende Is. Efter disse Ob- | reading at 09 C. determined in melting ice. From these 
servationer beregnedes en Formel for Piezometrets Stand | observations, a formula was computed for the reading of 
som Function af Temperaturen paa følgende Maade: | the piezometer as function of the temperature, in the fol- 
| lowing manner: — 
Er 0 det indre Volum af Piezometret ved 0°C og regnet | Taking C as the internal volume of the piezometer at 0° 
til Delstregen 0 mm paa Capillarroret, | C. and reckoned to the division 0 mm. on the 
capillary tube; 
c as the volume contained between two marks of 
eller som svarer til I mm Hoide af Capillarrøret, | division, or that corresponding to a height of 
1 mm. of the capillary tube; 
m, Piezometrets (Kviksølvtoppens) Stand ved 0° ©, | m, reading of piezometer (top of mercury) at 0° C.; 
m, Piezometrets Stand ved 7° C, | m, reading of piezometer at f° C.; 
a og  Constanter (Glashyllets kubiske Udvidelse), | aand 3 constants (cubic expansion of the glass envelope) ; 
v, Vandets Volum ved 0° C, v, volume of the water at 0° C.; 
v, Vandets Volum ved (? C, | v; volume of the water at 2? C.; 
Alt ved almindeligt Lufttryk, | at ordinary atmospheric pressure; 
| 
| 
| 
| 
c det Volum, som indesluttes mellem to Delstreger, 
=> 
saa har man: | then we have, 
C—cm, = det indre Volum ved 0°, | C—em, = the internal volume at 0°; 
(C—em,) (1 + at +80 det indre Volum ved f°. (C—cm,) (1 + at +80) the internal volume at 2, 
m (CG — em) (1 + att pf) 
Vo C=cm, 
} } ) (0! ; 
eller: (or) m,+ på — mi - tb. ot E- mn ee Fe = © = : — m, ~ ; 
| Å 
Ve C 
tret fundne Verdier for ¢ og m, beregnes, efter de mindste 
Af de ved Sammenligningerne med Normalthermome- | From the values given by the comparisons with the 
Kvadraters Methode, de sandsynligste Værdier for m,, « og B. 
the Standard-Thermometer for t and m,, I computed, by 
|. the method of least squares, the most probable values for 
| m,, a, and 8. 
| 
| 
Man har efter Sammenligningerne med Normalther- From the comparisons with the Standard-Thermometer, 
mometret we have 
== 09.00 0572 89.35 119.52 15°.31 
mm mm mm mm mm 
m= I 1.40 13.50 I 3.00 10.06 7ROB 
og efter Buchanan C= 4.2422  Cub.centimeter | and, according to Buchanan, C= 4.2422 cubic centimetres 
C = 0.000456 = (Kaliber jevn). . C = 0.000456 = 
(bore uniform). 
Verdierne af v:v, ere tagne af Broch’s Tabel! The values of v;:v, have been taken from Broch’s 
Table. 
Observationerne give følgende Ligninger:  [Loga- The observations give the following equations [log- 
rithmer| | arithms]: — 
Mo = [1.0569049| 
mo, + [4.7254323] å + [5.4828283] 6 = [1.1014178] 
m, + [4:8896949] @ + [5.8113814] 6 = [1.1214507] 
m, + [5.0294400] å + [6.0908925] ? = [1.1359070] 
m, + [5.1520337] å + [6.3379089] @ = [1.1551766] 
Endeligningerne blive: | The normal equations are: 
[0.6989700] m, + [ 5.5797110] @ + | 6.6396590] ? = [1.8144221] 
[5.5707110] m, + [10.6076384] a + [11.7058232] B = [6.7154528] 
[6.6396590] m, + [11.7058232] @ + [12.8307266] 3 = [7.7809459] 
1 Volume et Poids spécifique de l’eau pure. Travaux et mémoires du Bureau international des poids et mesures. 
