Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of figures

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[171] Fig. 52.12. Febr. *
[172] Fig. 53.* 24. Febr.
[173] Fig. 54.25. Febr. *
[174] Fig. 55.14. Mart. *
[175] Fig. 56.16. Mart. *
[176] Fig. 57.* 21. Mart.
[177] Fig. 58.* 22. Mart.
[178] Fig. 59.26. Mart. *
[179] Pag. 574.TAB. XLIX.Fig. 2.
[180] Fig. 1.C K O B H N G M S * F D A L E
[181] Fig. 3.E C D A * B
[182] Fig. 4.P Q O N M L * C R
[183] Fig. 5.C * V S X T Y
[184] Fig. 6.
[185] Fig. 7.
[186] Pag. 580.TAB. L.Fig. 2.R ♈ L D I T A N ♋ H G E P F K C Q O B M S
[187] Fig. 3.
[188] Fig. 4.N Q F C P L E A M H O D f
[189] Fig. 1.B A
[Figure 190]
[Figure 191]
[192] Pag. 626.TAB. LI.Fig. 1.F E D V S 30 20 10 C L G R H K P A M Z I O X B
[193] Fig. 2.L K O R E H N I S D G B C
[194] Fig. 3.A 16 15 14 13 12 11 10 9 B 8 7 6 5 4 3 2 1
[195] Fig. 4
[196] Fig. 5.
[197] Fig. 6.
[198] Fig. 1.
[199] Fig. 2.
[200] Fig. 3.
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page |< < (450) of 568 > >|
177450VERA CIRCULI. pezium L I K M eſſe medium arithmeticum inter prædicta re-
ctangula, hoc eſt 49500000000000000000000000.
invenia-
tur inter rectangula L N K M, Q I K M, medium geometri-
cum 28460498941515413987990042 quod erit pentagonum
ſpatio hyperbolico L I K M regulariter circumſcriptum.
Sit-
que ut trapezium LIKM unà cum dicto pentagono circumſcri-
pto ad dictum pentagonum, ita duplum dicti pentagoni ad
hexagonum ſpatio hyperbolico L I K M regulariter inſcriptum,
nempe 20779754131836628160009835;
quod hexagonum
erit polygonum complicatum cum prædicto pentagono;
quæ
duo rectilinea efficiant primos ſeriei terminos convergentes:
inter quæ ſit medium geometricum cujus quadrati duplum di-
vidatur per idem medium geometricum unà cum majori ter-
mino ſeu pentagono circumſcripto;
eruntque medium geo-
metricum &
quotus, ſecundi terminiconvergentes: atque ita
continuetur ſeries hæc convergens polygonorum complica-
torum, donec medietas prima notarum eadem ſit in utroque
termino convergente, nempe ad terminum vigeſimum;
po-
lygonum enim circumſcriptum eſt 23025850929958961534-
173864, &
inſcriptum 23025850929931203593181124: ad-
hibeatur deinde approximatio in hujus 23 &
24 demonſtra-
ta, &
invenientur termini intra quos conſiſtit vera ſpatii
hyperbolici L I K M menſura, nempe 230258509299404562-
40178681, minor ſpatio, &
23025850929940456240178704
eodem major, &
ideo non latet ſpatii menſura, quam in-
venire oportuit:
totam polygonorum ſeriem hic appono unà
cum numero rectarum curvam hyperbolicam ſubtendentium
in unoquoque polygono circumſcripto.

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