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

Table of figures

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[Figure 31]
Page: 69
[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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69 31[Figure 31]
CHRISTIANI HUGENII,
Const. f.
DE
CIRCULI MAGNITUDINE
INVENTA.
Theorema I. Propositio I.
SI Circuli portioni, ſemicirculo minori, trian-
gulum maximum inſcribatur, & portioni-
bus reliquis triangula ſimiliter inſcribantur,
erit triangulum primo deſcriptum duorum ſimul
quæ in portionibus reliquis deſcripta ſunt minus
quam quadruplum.
Eſto circuli portio A B C, ſemicirculo minor, cujus diameter
11TAB. XXXVI@
Fig. 1. B D; maximum autem inſcriptum ſit triangulum A B C,
hoc eſt, quod baſin & altitudinem habeat cum portione eandem.
Et reliquis duabus portionibus inſcribantur triangula item ma-
xima A E B, B F C. Dico triangulum A B C minus eſſe quam
quadruplum triangulorum A E B, B F C ſimul ſumpto-
rum. Jungatur enim E F, quæ ſecet diametrum portionis
in puncto G. Quoniam igitur arcus A B bifariam dividitur
in E puncto, erit utraque harum E A, E B, major dimi-
diâ A B. Quamobrem quadratum A B minus erit quam qua-
druplum quadrati E B vel E A. Sicut autem quadratum A B
ad quadr. E B, ita eſt D B ad B G longitudine; quia qua-
dratum quidem A B æquale eſt rectangulo quod à D B &
circuli totius diametro continetur, quadratum vero E B æ-
quale rectangulo ſub eadem diametro & recta B G. Minor
igitur eſt B D quam quadrupla B G. Sed & A C minor
eſt quam dupla E F, quoniam hæc ipſi A B æquatur. Er-
go patet triangulum A B C minus eſſe quam octuplum

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