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

Table of figures

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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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73361DE CIRCULI MAGNIT. INVENTA. rectis A D, D C & arcu A B C comprehenſum majus erit
portionis A B C dimidio. Ac proinde triangulum A D C
majus quam portionis A B C ſeſquialterum. Quod erat de-
monſtrandum.
Theor. V. Prop. V.
OMnis circulus major eſt pylogono æqualium
laterum ſibi inſcripto & triente exceſſus quo
id polygonum ſuperat aliud inſcriptum ſubduplo la-
terum numero.
Eſto circulus centro C; ſitque ipſi inſcriptum polygonum
11TAB. XXXVIII.
Fig. 5. æqualium laterum, quorum unum ſit A B. Atque alterum
item polygonum ſit inſcriptum, cujus bina latera A D, D B,
ſubtendat A B. Hoc igitur priore polygono majus eſt. Sit
autem exceſſus trienti æquale H ſpatium. Dico circulum ma-
jorem eſſe polygono A D B una cum ſpatio H. Ducantur
enim ex centro rectæ C A, C B. Quoniam igitur portio
circuli A D B major eſt quam ſeſquitertia trianguli A D B ſibi
inſcripti ; erunt portiones A D, D B, ſimul majores 22per. 3. huj. ente trianguli A D B. Quamobrem & ſector C A B major
erit utriſque ſimul quadrilatero C A D B & triente trian-
guli A D B. Sicut autem ſector C A B ad circulum totum,
ita eſt quadrilaterum C D B A ad polygonum A D B, &
ita quoque triens trianguli A D B ad trientem exceſſus po-
lygoni A D B ſupra polygonum A B. Ergo manifeſtum eſt
circulum quoque totum majorem fore polygono A D B una
cum triente exceſſus quo polygonum A D B ſuperat poly-
gonum A B, hoc eſt, unà cum ſpatio H. Quod erat demon-
ſtrandum.
Theor. VI. Prop. VI.
Omnis circulus minor eſt duabus tertiis polygo-
ni æqualium laterum ſibi circumſcripti & tri-
ente polygoni ſimilis inſcripti.

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