N en 
For med Fordel at kunne anvende Piezometret som | 
Dybdemaaler maa man altsaa beregne Dybderne strengt | 
med de af de bedste Lodskud udledede Constanter. I dette 
Tilfælde kan Piezometret give en udmerket Control for 
Lodskuddene, et Maal for disses Nojagtighed og en paa- 
lidelig Erstatning for mislykkede Lodskud, naar man er 
sikker paa, at Instrumentet har været ved Bunden. | 
Man kan udvikle h i en Række efter Potentserne at 
(m’—m), eller man kan opstille en herpaa grundet empirisk 
Formel 
a b 
Hence, in order to use advantageously the piezometer 
as a depth-meter, the depths must be rigorously computed 
with the constants found from the best soundings. In that 
case, the piezometer will afford an excellent means of con- 
trol for sounded depths, a measure of their precision, and 
a trustworthy compensation for unsuccessful 
provided it be quite certain that the instrument has been 
at the bottom. 
soundings, 
We can develop Å im a series progressing 
to the powers of (m’—m), or 
founded upon it, e. g,, 
according 
take an empirical formula 
C 
i=: - (m/—m) + S 
SC = Blcos 2 9) 
og bestemme a, b og ¢ ved de mindste Kvadraters Methode. 
Man faar da følgende Betingelsesligninger [Logarithmer]. 
(å — Beas 2 op) 
(m’—m)? 5 (m’—m) + . 
(1 = B'cos 2 2) 
and determine a, b, and c by the method of least squares. 
We shall then have the following conditional equations 
[logarithms]: — 
[0.86491| a + [1.74239] ae 61987] ¢=[1.96848| 
[1.52787] [3-06858] [4-609030] [2.61909] 
[1.98677] 13:98643] [5-986 10] [308493] 
|2.00769] [4:02823] [6.04877 | [3.10721] 
[2.02566] [4.06426] [6.10286] [3.12483] 
[2.02752] [5.06797 | [6.10843] [3.12808] 
[2.07061] [4.15415] [6.23768] [3.17231] 
[2.10086] [4.21462 | [6.32839| [3.20104] 
[2.12384] [4.26057 | [6.39729] [3.22686] 
[2.19312] [4.39908 | |6.60504| [3:29776] 
Endeligningerne blive: The normal equations will be 
115344. @ + 14621307. b -+- 61273807 6 = 1450854 
' 14621307. @+ 10912740543. b+ 257081182958. C= 1848436097 
1912735673. @ + 257081182958. b + 35422403423676. ¢ = 24200418357 
hvoraf (whence) @= 12.25275 
log @ = 1.0882340 
b= 0.003132885 log b= 7.4959306—10 
€ = —0.00000116585 log ¢=4.0666447,—10 
n— 12:25275 
~ Sf = Ps 2M) 
0.0031329 
(m'—m) + 
Indsættes i Ligningerne Værdierne af a, b og c faaes . | 
No. Ber. h 
(Comp.) 
I 90.0 Fv. (F'ms.) 
2 416.8 
3 1217.8 
4 1279.3 
5 1334-7 
6 1340.5 
7 1484.3 
8 1594.5 
9 1683.7 
10 1985.2 
S(1 — 6 cos 2 @) 
Obs. h 
0.000001 166 
m —m)? — m’—m)* 
om ) SG = OOS aa) \ y 
Substituting into the equations the values of a, 0, 
and c, we get 
Q == IB 
93 Fv. (Fms.) +3.0 Fv. (F'ms.) 
416 —=0.8 
1216 — 1.8 
1280 +0.7 
1333 Mon 
1343 2.5 
1487 +2-7 
1590 —4:5 
1686 +2.3 
1985 —0.2 
lil, 18 ae 202 
