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Principalnotation
A,B,I,II,...–points
A
oo
,B
oo
,B
1oo
,...–pointsatinfinity
a,b,...–lines:straightorcurved
AB,...–segmentsoflineswithendpointsAandB
α
α
,
,
β
β
,ABC,...–planes
,
ζ
,
δ
,...–planeangles
Γ
,
∆
,…–polyhedralfigures,where:
Γ
,
Γ
i
–controlcomposition
Γ
–controlnetconsideredasasumof
Γ
i
∆
–buildingfreeform
ω
,
ω
∗
...–smoothregulargeometricalsurfaces;becausetheyareofinifinite
,
overalldimensionstheyarenotpresentedinfigures,however,they
arereallyhelpfulindescriptionspresentedintext
Ω
,
Ω
∗
...–sectorsofimaginableregularsurfaces
ω
,
ω
∗
,thesesectorsrepresents
,
alsothesesurfacefromwhichtheyare
P
Ω
–areaofshellsector
Ω
[x
a
,y
a
,z
a
],[x
L
,y
L
,z
L
]–localco-ordinatesystemsoflineorregularsurface
[x,y,z]–globalco-ordinatesysteminthree-dimensionalspace
t
i
–rulingsofgeometricalsurface
l
s
–axisofgeometricalsurface
Σ
,
Σ
∗
,...–modelsforbuildingfreeforms(shellroofandfoldedelevations)
B–closedborderlineofshellsector,whosesegmentscanbestraightorcurved
e,f–directricesofgeometricalsurfacesortheirsectors
<ABCD>–aplaneorspatialfigurewithvertices:A,B,C,D
e
ą
ą
,
ą
n
E
,
e–vectors
DE
,
DE,…–vectorwiththeoriginatDandtheendatE
σ
σ
ą
,
,
γ
γ
,...–planeordihedralangles
ą
,
...–directanglesormeasureof
σ
or
γ
M
gl
,M
e
–vectorsinglobalorlocalco-ordinatesystems
r(u,v)–vectorialrepresentationofaregularsurface
u,v–independentvariablesofasurface
a(u)–vectorialexpressionofaregularline
a’(u)–derivativeofa(u)
