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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250514CHRISTIANI HUGENII Tangentis proprietatem; Problema, quod mihi apparuit
difficillimum. Solutio Marchionis exſtat in 34. Diario Pari-
ſienſi anni ultimi, quare hanc hic non trado.
Alterum eſt ejus reſponſum de aliâ curvâ valde cognitâ, &
quam Carteſius aliter adhuc conſideravit, ut & Huddenius
eo tempore, quo negotia Reip. non impediebant, quo-
minus vacaret ſtudiis. Curva in fig. 4. exhibetur, fo-
11TAB. XLVI.
fig. 4. lium A B C H circumſcribit & utrimque ſeſe extendit juxta
Aſymptoton E F G. Æquatio ejus eſt x3 + y3 = xyn ſi A D
ponatur x in recta, quæ cum diametro C A format angulum
45 graduum; perpendicularis DB, vel D H, vel D K, y; &
n recta data. Cum ipſi indicaſſem, me inveniſſe qua-
draturam hujus curvæ, & quod contentum folii A B C H
eſſet = {1/6} nn id eſt {1/3} quadrati diametri A C; quod ſpa-
tium infinitum inter Aſymptoton & ambo curvæ brachia
etiam ejuſdem magnitudinis eſſent; & quod quadratura ge-
neralis ſegmentorum exprimeretur per unicum terminum;
ille invenit veram illam quadraturam generalem. Scilicet quod
contentum ſegmentorum A H vel A K exprimatur per {nxx/6y}
& ſegmenti A B per {nyy/6x}; ſed ulterius mihi affirmat ſe eo
perveniſſe per tres diverſas vias; quod miror, cum per-
ſuaſum habeam me non parum profeciſſe unicam dete-
gendo.
98[Figure 98]

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