Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
page |< < (447) of 568 > >|
174447ET HYPERBOLÆ QUADRATURA. convergente, nimirum uſque ad polygona laterum 16384;
inſcriptum enim eſt 3141592576586860 & circumſcriptum
3141592692091258
;
non conſideratur nota ultima, quoniam
in
diviſionibus &
radicum extractionibus ſemper à vera quan-
titate
paululum aberramus, quod ultimam notam imperfectam
plerumque
reddit.
adhibeatur deinde approximatio in hujus
20
&
21 demonſtrata, & invenientur termini intra quos eſt vera
circuli
menſura, poſito diametri quadrato 4000000000000000,
3141592653589789
minor circulo &
3141592653589792 eo-
dem
major, &
proinde non latet circuli menſura, quam
invenire
oportuit.
polygonorum ſeriem hic appono.
11
# Intra circulum # extra circulum
4
# 2000000000000000 # 4000000000000000
8
# 2828427124746190 # 3313708498984760
16
# 3061467458920718 # 3182597878074527
32
# 3121445152258051 # 3151724907429255
64
# 3136548490545938 # 3144118385245904
128
# 3140331156954752 # 3142223629942456
256
# 3141277250932772 # 3141750369168965
512
# 3141513801144299 # 3141632080703181
1024
# 3141572940367090 # 3141602510256808
2048
# 3141587725277158 # 3141595117749588
4096
# 3141591421543029 # 3141593269613390
8192
# 3141592345578073 # 3141592807595664
16384
# 3141592576586860 # 3141592692091258
### Circulus intra ſequentes terminos conſiſtit
# 3141592653589789 # 3141592653589792
@odem omnino modo reperitur rectilineum æquale cuicun-
que
ſectori circulari vel elliptico ex cognito triangulo inſcri-
pr
o &
trapezio circumſcripto.

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