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

Table of figures

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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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[61] Fig. 5.G L B H D O A E C K
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[62] Fig. 7.K F A C D B E H G
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[63] Pag. 404.TAB. XLII.Fig. 1.K F M A C D B L E N G
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[64] Fig. 3.G R D B H F E N A X C M P Q K
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[65] Fig. 2.K A F c S C L E B T G D R d
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[66] Fig. 4.K e G P E m B D f R F S H M C A N L Q n
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[67] Fig. 5.B C R E G A F M Q D O
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[68] Fig. 6.B C H G E A M Q P K D
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[69] Fig. 7.B C E G A M P Q K H D
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[Figure 70]
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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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202472HUGENII EXCEPSIO 79[Figure 79]
IV.
EXCERPTA EX LITERIS
Dni. HUGENII
DE RESPONSO, QUOD
Dnus. GREGORIUS
DEDIT AD EXAMEN LIBRI, CUI TITULUS EST,
VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
In circuli quadraturam inquirentes Geometræ, va-
ria & quidem pulcherrima detexere, ideo ne u-
tili exercitio deſtituantur adverſus Gregorium de-
fendere conſtitui, quadraturam hanc detegi poſ-
ſe; neque huc uſque reſponſionem hanc diſtuliſſem, niſi oc-
caſione controverſiæ noſtræ examen ſuſcepiſſem exactiſſimum
de proxima Circuli & Hyperboles Quadratura: in quo me
interpellarunt ſæpe alia impedimenta.
Dico nunc primo; Quod ſpectat impoſſibilitatem analy-
ticam quadraturæ illarum figurarum, tantum abeſſe etiam poſt
ſupplementum demonſtrationum, quod Dnus Gregorius dedit,
impoſſibilitatem hanc bene probatam eſſe, ut adhuc dum in-
certum maneat, num Circulus & quadratum diametri ejus ſint
incommenſurabilia, id eſt an non horum ratio per numeros
poſſit exprimi; quod etiam applicari poteſt portioni deter-
minatæ Hyperboles & figuræ huic inſcriptæ. Quod ut demon-
ſtremus ſufficit obſervaſſe; quod XI ejus Propoſitio & ſup-
plementum nil probent quando in ejus ſerie convergen-
te determinantur quantitates a & b per numeros ra-
tionales vel ſurdos; quoniam tunc terminatio et-
iam poterit eſſe numerus quidam ſimilis; & con-
trarium per illam propoſitionem demonſtrari non

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