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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189459ET HYTERBOLÆ QUADRATURA.
PROP. XXXIV. PROBLEMA.
Ex dato logorithmo invenire ejus
numerum.
Ex demonſtratis manifeſtum eſt hoc problema idem eſſe
11TAB. XLIV.
fig. 1. ac ſi quis proponeret; ex dato ſpatio hyperbolico, &
una recta uni aſymptotorum parallela illud comprehenden-
te, alteram invenire idem ſpatium comprehendentem, &
eidem aſymptoto parallelam. Conſideretur ex quot notis
arithmeticis conſtet logorithmus denarii arbitrarius; & ſuma-
tur logorithmi vel ſpatii dati talis pars aliquota nempe ſpa-
tium L I K M, ut pentagoni ſpatio L I K M regulariter cir-
cumſcripti, & hexagoni eidem regulariter inſcripti toties
multiplicia, quoties ſpatium datum multiplex eſt ſpatii
L I K M, concordent in tot notis arithmeticis, quot conti-
net radix quadrata logorithmi arbitrarii; hoc enim facile fie-
ri poteſt ex inſpectione tabellæ 32 hujus: datur ergo ſpatii
L I K M menſura & recta I K unitas ex ſuppoſitione. Sit
L M, z; ſicut in hujus 32 datur pentagonum ſpatio L I K M
regulariter circumſcriptum & hexagonum eidem regulariter
inſcriptum, inter quæ ſpatium datum L I K M eſt ſecunda
duarum mediarum arithmeticè continuè proportionalium;
& ideo duplum haxagoni una cum pentagono æquatur triplo
ſpatii, cujus æquationis reſolutio manifeſtat ignotam z ſeu
numerum L M, cujus toties multiplicatus, quoties ſpatium
L I K M eſt ſubmultiplex ſpatii vel logorithmi dati, eſt nu-
merus quæſitus, quem invenire oportuit.
Hoc problema idem eſt cum hujus 8, ſed aliter genera-
lius & methodo plerumque minus operoſa hic reſolu-
tum.
Tom. II. Mmm

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