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

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[Figure 31]
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[32] Pag. 366.TAB.XXXVIII.Fig. 1.B E F G A D C
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[33] Fig. 2.E F G B A C
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[34] Fig. 3.B E D C A F
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[35] Fig. 4.D G E F I B K M N H L A C
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[36] Fig. 5.HD A B C
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[37] Fig. 6.E D C B F G A
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[38] Fig. 8.D E G B A F C
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[39] Fig. 7.N G H I KE L M A P C O F B D
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[40] Pag. 376.TAB. XXXIXFig. 1.E K C B A L H G D F
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[41] Fig. 2.D B G H C E F
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[42] Fig. 4.E C G A F B D
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[43] Fig. 3.E C D F G H I
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[44] Fig. 5.B F R C P L M O
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[45] Fig. 6.Y S H E K B C G F R A L D N P M Z X V T
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[46] Fig. 7.G F D M L E A K C B H
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[47] Pag. 386.TAB. XL.Fig. 2.K B H F G E A I D L C
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[48] Fig. 1.L K E D H C A G B
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[49] Fig. 3.B Q N L M F G S H K A D C P
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[50] Fig. 4.B G R A C D E H F
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[51] Fig. 6.A C D M B
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[52] Fig. 5.A E N F B L D M C G H I K O
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[Figure 53]
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[Figure 54]
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[55] Pag. 398.TAB. XLI.Fig. 1.S T B R K H Q C N O M A E L D
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[56] Fig. 2.D E F B G H C A
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[57] Fig. 3.F D E G A B C
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[58] Fig. 4.G N B H D K A E C F
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[59] Fig. 8K A F c C E B h H G D d
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[60] Fig. 6.C E D A F B R Q
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109 54[Figure 54]
Christiani Hugenii C. F.
ILLVSTRIVM QVORVNDAM
PROBLEMATVM CONSTRVCTIONES.
Probl. I.
Datam ſphæram plano ſecare, ut portiones
inter ſe rationem habeant datam.
HOc Archimedes problema reſolvit lib. 2. de
Sphæra & Cylind. Compoſitionem autem pro-
miſſam non videtur explicuiſſe, niſi ipſius eſt il-
la quam Eutocius in vetuſto quodam libro reper-
tam commentariis ſuis inferuit. Ea vero parabo-
les & hyperboles interſectione perficitur, uti & illa cujus
Dionyſidorus autor eſt, quæ tamen à priori differt. Præter
has tertiam quoque adfert Eutocius è Dioclis de Pyriis li-
bro, quæ hyperboles & ellipſis deſcriptionem requirit. No-
ſtra autem quam hic conſcribemus anguli triſectionem poſtu-
lat; Et hæc conſtruendi ratio in ſolidis problematibus quo-
dammodo ſimpliciſſima videtur, atque ad uſum maxime ac-
commodata.
Eſto igitur data ſphæra cujus centrum M, diameter C A.
11TAB. XLI.
Fig. 1. Et data ſit proportio lineæ S ad T majoris ad minorem.
Intelligatur ſecari ſphæra plano ſecundum A C diametrum,
ſitque maximus in ea circulus C B A D. Et producatur
utrimque diameter C A, & ponatur ſemidiametro æqua-
lis utraque harum C H, A E. Et dividatur tota H E in
Q, ut ſit E Q ad Q H ſicut S ad T. Ipſi autem M Q æqua-
lis ponatur ad circumferentiam recta A R. Et ei quæ ter-
tiam partem ſubtendit arcus A R, æqualis ſumatur M N.

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