Dĺžka poludníka
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Transcript of Dĺžka poludníka
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Dĺžka poludníka
Rektifikácia meridiánu
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Rektifikácia meridiánu
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Diferencia dĺžky oblúka
Mdds
deeads 2
3222 sin11
2
322
2
sin1
1
e
eaM
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Dĺžka oblúka od rovníka j=0°
0
2
3222 sin11 deeas
0
Mds
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Binomická veta
nnn bbanbannn
133
3.2.1
21
221
2.11
bann
bnaaba nnnn
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Rozvoj mocniny do binomického radu
8866 sin10
9
6
7
4
5
2
3sin
6
7
4
5
2
3ee
44222
322 sin
45
23
sin23
1sin1 eee
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Trigonometrické vzorce
xxx 22 sincos2cos
xxxxx 4224 sinsincos6cos4cos
xxxxxxx 642246 sinsincos15sincos15cos6cos
xxxxxx 44268 sincos70sincos28cos8cos
xxx 862 sinsincos28
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Trigonometrické mocninyxx 2cos
2
1
2
1sin 2
xxx 4cos8
12cos
2
1
8
3sin 4
xxxx 6cos32
14cos
16
32cos
32
15
16
5sin 6
xxxxx 8cos128
16cos
16
14cos
32
72cos
16
7
128
35sin 8
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1. substitúcia
8866 sin10
9
6
7
4
5
2
3sin
6
7
4
5
2
3ee
44222
322 sin
45
23
sin23
1sin1 eee
4cos2cossin1 2
322 CBAe
8cos6cos ED
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Koeficienty 1. substitúcie 8642
16384
11025
256
175
64
45
2
31 eeeeA
8642
2048
2205
512
525
16
15
4
3eeeeB
864
4096
2205
256
105
64
15eeeC
86
2048
315
512
35eeD
8
16384
315eE
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Dĺžka oblúka
0
2 4cos2cos1 CBAeas
dED 8cos6cos
4sin4
2sin2
1 2 CBAeas
8sin
86sin
6
ED
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2. substitúcia
4sin2sin CBAs
8sin6sin ED
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Koeficienty 2. substitúcie
A
eaA 21
2
1 2 BeaB
4
1 2 CeaC
6
1 2 DeaD
8
1 2 EeaE
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Krasovského elipsoid
O posledný člen dosiahne godnoty 0,03mm
084861,134111s
2sin269480,03616
4sin067828,16
6sin975021,0
metrov8sin031000,0
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Dĺžka kvadrantu j=90°O Krasovského elipsoid
O Besselov elipsoid
O IAG 1967 elipsoid
O Dĺžka metra odvodená ako desaťmilióntina z dĺžky kvadrantu (Delambre, 18 st.)
m497,1370021090.084861,134111 KQ
m766,85500010BQ
m231,00100210KQ
m000,00000010DQ
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Dĺžka oblúka medzi dvomi rovnobežkami j1, j2
121212 44sin22sin CBAs
1212 88sin66sin ED
2
1
2
1
2
3222 sin11
deeaMds