Abstract
Adopting the notation in Table I. (p. 284), and the data of M. Mathieu (
Annuaire du Bureau des Longitudes
, 1865, p. 321), Laplace’s hypsometrical formula, after some easy transformations, becomes
h
1
- H
1
= [log B - log
b
- ·00007 . (M' -
m
').] x [500 + A' +
a'
] x [18336/500.(1 -
z
cos 2 L).(1 + 15926/6366198)] x [1 +
h
1
+ H
1
/6366198] = [log B - log
b
- ·00007.(M' -
m'
)] x [500 + A' +
a'
] x 36·764/1 -
z
cos 2 L +
h
1
2
- H
1
2
/R
1
. . . . . (
a
) = W .
T'
. G
2
+
v
1
- V
1
. . . . . (
b
) In the last term in (
a
),
h
1
— H
1
represents the product of the three preceding factors, W . T'. G
2
; and
z
is left for the present undetermined.
Subject
General Earth and Planetary Sciences,General Environmental Science
Cited by
2 articles.
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