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

Table of figures

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[11] Fig. 7.E S D P B
Page: 26
[12] Pag. 326.TAB. XXXV.Fig. 1.N H T Z Ψ G K X S Σ Α E Ξ Y F O L B Δ R P V C Q Ω D M
Page: 31
[13] Fig. 5.B L A C D F M G K E H
Page: 31
[14] Fig. 4.B L A C D F M G K H E
Page: 31
[15] Fig. 2.B Δ P R V C Q Ω D A L F O Y Ξ Α Σ X S G K Ψ Z T H E N M
Page: 31
[16] Fig. 3.B Δ P R V A D Ω Q C L F O Y Ξ Α Σ X S G K E Ψ Z T H E N M
Page: 31
[17] Pag. 328.Fig. 2.B L F A D C H E
Page: 36
[18] Fig. 1.B L F A D C H E
Page: 36
[19] Fig. 3.B E A D C
Page: 36
[20] Fig. 4.Q B H A F C E G R D K
Page: 36
[21] Fig. 5.B E D A C G F
Page: 36
[Figure 22]
Page: 49
[23] Pag. 340.TAB. XXXVII.Fig. 1.C G H F E DH A X Q Y T N V B G
Page: 51
[24] Fig. 3.γ A F D X B P N V E Q C
Page: 51
[25] Fig. 2.K C Δ R Θ Z O Γ D I
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[26] Fig. 4.A B D C Π Φ N E S P F
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[27] Fig. 2.M E Ψ Λ Φ S Ξ Π Ρ Σ Ω F L
Page: 51
[28] Fig. 5.K B Δ E Z A C R O D Θ Γ I
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[Figure 29]
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[Figure 30]
Page: 65
[Figure 31]
Page: 69
[32] Pag. 366.TAB.XXXVIII.Fig. 1.B E F G A D C
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[33] Fig. 2.E F G B A C
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[34] Fig. 3.B E D C A F
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[35] Fig. 4.D G E F I B K M N H L A C
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[36] Fig. 5.HD A B C
Page: 80
[37] Fig. 6.E D C B F G A
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[38] Fig. 8.D E G B A F C
Page: 80
[39] Fig. 7.N G H I KE L M A P C O F B D
Page: 80
[40] Pag. 376.TAB. XXXIXFig. 1.E K C B A L H G D F
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page |< < (373) of 568 > >|
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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