HT T 3ROLJRQDOH Hd - labtopomorea.altervista.org · Title: Rilievo_03-POLIGONALI_02.pub - Publisher...
Transcript of HT T 3ROLJRQDOH Hd - labtopomorea.altervista.org · Title: Rilievo_03-POLIGONALI_02.pub - Publisher...
0$33$�',�6,17(6,�'(//¶81,7$¶��5,/,(92�SHU�32/,*21$/,��$3(57(�9,1&2/$7(�-���
DEDE
CDCD
BCBC
ABAB
senDExsenCDxsenBCxsenABx
qqqq
×=×=×=×=
)()()()(
EAEA
DEDE
CDCD
BCBC
ABAB
xXX
xXXxXXxXXxXX
)'(
)'()'()'()'(
+=+=+=+=+=
32/,*21$/,�$3(57(�9,1&2/$7(� 0HWRGR�GL�ULOLHYR�GL�DSSRJJLR��XVDWH�QHL�ULOLHYL�GL�SLFFROD�HQWLWj��
6RQR�FRPSHQVDELOL�H�2ULHQWDWH���VLVWHPD�ULIHULPHQWR�FDUWHVLDQR�SUHGHILQLWR���3XQWR�,QL]LDOH�$�GL�SRVL] LRQH�QRWD�-�3XQWR�)LQDOH�(�GL�SRVL]LRQH�QRWD� 3XQWR�GL�2ULHQWDPHQWR�,QL]LDOH��7�GL�SRVL]LRQH�QRWD� 3XQWR�GL�2ULHQWDPHQWR�)LQDOH�5��GL�SRVL]LRQH�QRWD
0,685$7,���/(7785(�$=,087$/,� 7XWWL�ODWL�—!�$%-%&-&'-'( 7XWWL�DQJROL�LQWHUQL—!�a-b-g-d-e
$QJ�
/ G[-/ V
[� �VH
�QHJ��
—!���
��J �
,1&2*1,7(�� �$WWHQ]LRQH�L�SXQWL� SRVVRQR�DVVXPHUH� QRPH�TXDOVLDVL� %º�;%�<%�� &º�;&�<&� 'º�;'�<'�
�
DR
CE
BD
AC
TB
LLLLLLLLLL
""
''
-=-=-=-=-=
edgba
1HOOH�SROLJRQDOL�DSHUWH�YLQFRODWH��R�RULHQWDWH��YHQJRQR�PLVXUDWL�WXWWL�JOL�DQJROL��YHGL�ILJXUD���H�WXWWL�L�ODWL�-�HOHPHQWL�VRYUDEERQGDQWL�-�SHUPHWWRQR��FRQWUROOR�H�FRPSHQVD]LRQH�GHOOH�PLVXUH�DQJRODUL�H�OLQHDUL� ����9HUWLFH�$�—!�SULPR�YHUWLFH�¹�9HUWLFH�(�—!�XOWLPR�YHUWLFH
67$=,21, 3817, &2//,0�
/(7785(�&�2��
',67$1=(�25,==�
127(
�JUDG� �P�
$ 7 /7 ————— % /% —————
% & /& %& $ /$ $%
& % /¶% ————— ' /¶' —————
' ( /¶( '( & /¶& '&
( ' /´' ————— 5 /´5
*ERERa qqe -=
e$�HUURUH�DQJRODUH
nT ga ×±= 025,0
T$�WROOHUDQ]D�DQJRODUH� �PD[�HUURUH�DFFHWWDELOH�
�&RQWUROOR�DQJRODUH aa T£e
&DOFROR�DQJROL
�
&RQWUROOR�DQJROL
�(UURUH�XQLWDULR�����SHU�DQJROR�
na
aed -=
�
&RUUH]LRQH��DQJROL�GLUH]
LRQH
aDEDE
aCDCD
aBCBC
aABAB
dqqdqqdqqdqq
×+=×+=×+=×+=
Ñ
Ñ
Ñ
Ñ
4321
9HULILFD�QXPHULFD
�
&DOFROR�FRRUG
LQDWH�SDU]LDOL
DEDE
CDCD
BCBC
ABAB
DEyCDyBCyABy
qqqq
cos)(cos)(cos)(cos)(
×=×=×=×=
&RRUGLQDWH�FDUWHVLDQH�SDU]LDOL
DECDBCABAE xxxxx )()()()()( +++=
DECDBCABA yyyyy )()()()()( +++=E
e\�HUURUH�VXOOH�RUGLQDWH 22YXL eee += å×±= LTa 025,0
e/�(UURUH�OLQHDUH 7/�WROOHUDQ]D�OLQHDUH
LL T£e �&RQWUROOR�OLQHDUH
$VFLVV
H�SDU]
LDOL
127,���$WWHQ]LRQH�L��SXQWL�—!�QRPH�TXDOVLDVL� $º�;$��<$��—!�3ULPR�YHUWLFH�3ROLJRQDOH (º�;(��<(��—!�8OWLPR�YHUWLFH�3ROLJRQDOH 7º�;7��<7��!�3XQWR�2ULHQWDPHQWR�,QL]LDOH 5º�;5�<5��!�3XQWR�2ULHQWDPHQWR�)LQDOH
$VFLVV
H�SDU]
LDOL
� å-= n
i ji
XX x
U)(
e
&RUUH]LRQH�FRRUG
LQDWH�SDU]LDOL
(UURUL�XQLWDUL���VX�DVFLVVH��H���RUGLQDWH
å-= n
i ji
YY y
U)(
e
(UURUH�SHU�P��GL�DVFLVVH (UURUH�SHU�P��GL�RUGLQDWH
EAXEAEA
DEXDEDE
CDXCDCD
BCXBCBC
ABXABAB
xUxxxUxxxUxxxUxxxUxx
)()()'()()()'()()()'()()()'()()()'(
×+=×+=×+=×+=×+=
EAYEAEA
DEYDEDE
CDYCDCD
BCYBCBC
ABYABAB
yUyyyUyyyUyyyUyyyUyy
)()()'()()()'()()()'()()()'()()()'(
×+=×+=×+=×+=×+=
$VFLVVH�FRUUHWWH 2UGLQDWH�FRUUHWWH
EAEA
DEDE
CDCD
BCBC
ABAB
yYY
yYYyYYyYYyYY
)'(
)'()'()'()'(
+=+=+=+=+=�
�&RRUG
LQDWH�7RWDOL
9HULILFD�QXPHULFD 9HULILFD�QXPHULFD
$VFLVVH�YHUWLFL 2UGLQDWH�YHUWLFL
6&+(0$�*5$),&2
127(�
åL
åni jix )(
�$QJROR�'LUH]LRQH�FRUUHWWR�q*7$ KYY
XXTATA
TA +--= )arctan(*q
&DOFROR�DQJROL�GL�GLUH]LRQH
gDEER
gCDDE
gBCCD
gABBC
gTAAB a
200200200200200*
±+=±+=±+=±+=±+=
eqqdqqgqqbqq
�$QJROR�'LUH]LRQH�FRUUHWWR�q*(5 KYY
XXERER
ER +--= )arctan(*q
�
*ERaERER n qdqq =×+=Ñ
—!�VRPPD�YDORUL�DVVROXWL �—!�6RPPD�/XQJKH]]H�ODWL
Q���—!�QXPHUR�YHUWLFL�SROLJRQDOH
AEA YYy -=*)( E
AEA XXx -=*)( E*)()( AAX xx EE -=e
*)()( AAY yy EE -=e
�
�&RQWUROOR�HUURUH�OLQHDUH e;�HUURUH�VXOOH�DVFLVVH
$�SXQWR�LQL]LDOH
7�SXQWR�RULHQWDPHQWR�LQL]LDOH
(�SXQWR�ILQDOH
5�SXQWR�RULHQWDPHQWR�ILQDOH
,������
������TXDGU
��—!�.
��
,,�����
�-��,,,��-�-���—
!�. ���
J � ,9�
��-�������TXDGU
��—!�.
���
J �