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

Table of figures

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[41] Fig. 2.D B G H C E F
Page: 93
[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
Page: 93
[45] Fig. 6.Y S H E K B C G F R A L D N P M Z X V T
Page: 93
[46] Fig. 7.G F D M L E A K C B H
Page: 93
[47] Pag. 386.TAB. XL.Fig. 2.K B H F G E A I D L C
Page: 106
[48] Fig. 1.L K E D H C A G B
Page: 106
[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
Page: 106
[51] Fig. 6.A C D M B
Page: 106
[52] Fig. 5.A E N F B L D M C G H I K O
Page: 106
[Figure 53]
Page: 108
[Figure 54]
Page: 109
[55] Pag. 398.TAB. XLI.Fig. 1.S T B R K H Q C N O M A E L D
Page: 121
[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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88373DE CIRCULI MAGNIT. INVENTA. ptum. Et circulus minor eſt polygono iſtis ſimili cu-
jus ambitus majori mediarum æquetur.
Eſto circulus B D, cujus centrum A. Et inſcribatur ei po-
11TAB. XXXIX.
Fig. 6. lygonum æquilaterum B C D L, ſimileque circumſcri-
batur lateribus parallelis H K M N. Sitque perimetro po-
lygoni H K M N æqualis recta T, perimetro autem B C D L
æqualis Z. Et inter Z & T duæ ſint mediæ proportionales
X & V, quarum X minor. Dico circumferentiam circuli
B D minorem eſſe rectâ X. Et ſi fiat polygonum in quo Y,
cujus perimeter æquetur rectæ V, ſimile autem ſit polygono
B C D L aut H K M N; Dico circulum B N minorem
haberi polygono Y. Ducatur enim diameter circuli P E,
quæ dividat bifariam latera parallela B C, H K, inſcripti
circumſcriptique polygoni in R & E; erit autem E punctum
contactus lateris H K, & B C ſecabitur in R ad angulos
rectos. Ducatur etiam ex centro recta A C K, quæ utriuſ-
que polygoni angulos C & K bifariam ſecet, nam hoc ab
eadem recta fieri conſtat; & jungatur C E. Ipſi autem C E
ponatur æqualis C F; ſitque duabus his C R, C F tertia
proportionalis C G. Ergo qualis polygoni inſcripti latus eſt
C E ſive C F, talis circumſcripti latus erit C G . 22per 13. huj. duæ tertiæ C F cum triente C G ſimul majores erunt arcu
E C . Sit autem duabus tertiis C F cum triente C G 33per 9. huj. lis recta S. Ergo & hæc major erit arcu E C.
Et quoniam ſe habet C R ad C F, ut C F ad C G;
erit quoque dupla C R una cum C F ad triplam C R,
hoc eſt, utraque ſimul B C, C F ad utramque B C, C R,
ut dupla C F una cum C G ad triplam C F: vel ſumptis
horum trientibus, ut {2/3} C F una cum {1/3} C G ad C F, hoc
eſt, ut S ad C F. Quare etiam triplicata ratio ejus quam ha-
bet utraque ſimul B C, C F ad utramque B C, C R ea-
dem erit triplicatæ rationi S ad C F. Major autem eſt ratio
R B ad B F quam triplicata ejus, quam habet utraque ſi-
mul B C, C F ad utramque B C, C R . Ergo major 44per lemm@
præ. dem ratio R B ad B F quam triplicata ejus quam habet S

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