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

Table of figures

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[71] Pag. 450.TAB.XLIII.Fig. 4.B A F R P C D E G H I K S L M N O
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[72] Fig. 1.F G I K D L E S T O C N H M V R B Q P A
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[73] Fig. 2.F G I K D L E S T O C N V R B Q P A
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[74] Fig. 5.A C B D E
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[75] Fig. 3.A F G I K D L S T E O C N H M V R B Q P
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[Figure 76]
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[Figure 77]
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[Figure 78]
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[Figure 79]
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[Figure 80]
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[Figure 81]
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[Figure 82]
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[83] TAB. XLIV.Fig. 2.D H A B E F G
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[84] Fig. 1.E G N L O I Q P D K M H F A
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[85] Fig. 3.B E F A D G C
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[86] I. CasusFig. 4.Y Q R C A B M L I K V C O S X
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[87] II. CasusFig. 5.R C Y Q A B I L M K V O X S C
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[88] III. CasusFig. 6.Q C D Y K L I N M S V B X C A G O
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[89] Fig. 7.IV. CasusQ D C A B S L N X M I V Y K C G O
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[Figure 90]
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[91] Pag. 506.TAB. XLV.Fig. 1.C F D B
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[92] Fig. 2.C B A E F
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[93] Fig. 3.B b F f H c
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[94] Fig. 4.C D B A E F G H
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[95] Fig. 5.C b d D B E F G f g e
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[96] Fig. 6.B G A C D
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[Figure 97]
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[Figure 98]
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[Figure 99]
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[Figure 100]
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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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