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
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[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
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[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
Page: 80
[33] Fig. 2.E F G B A C
Page: 80
[34] Fig. 3.B E D C A F
Page: 80
[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
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[40] Pag. 376.TAB. XXXIXFig. 1.E K C B A L H G D F
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17317HYPERB. ELLIPS. ET CIRC.
Data ſit portio A B C & triangulus D E F, baſibus A C,
11TAB. XXXIV
Fig, 2. D F æqualibus; & portionis diameter ſit B G, in trian-
gulo verò ducta à vertice in mediam baſin linea E H. Sint
autem utræque B G, E H vel ad baſes rectæ vel æqualiter
inclinatæ; & quam rationem habet B G ad E H, in eandem
dividatur ſpatium datum, ſintque partes K & L. Circumſcri-
batur jam ſicut antea portioni A B C figura ordinatè, quæ
portionem ſuperet exceſſu minore quàm ſit ſpatium K. Et
triangulo D E F circumſcribatur figura quæ totidem paral-
lelogrammis conſtet, quot ſunt in figura portioni A B C cir-
cumſcripta.
Quoniam igitur baſes portionis & trianguli æquales ſunt,
apparet quidem omnium parallelogrammorum eandem fore
latitudinem. Hinc quum parallelogrammum B M ſit ad E R
ut B G ad E H, id eſt ut K ad L, ſitque B M minus quam
K , erit quoque E R minus quam L . Verùm omnia 22Ex conſit.3314. 5.
Elem. gula quibus conſtat exceſſus figuræ circumſcriptæ ſupra trian-
gulum D E F, æqualia ſunt parallelogrammo E R, ergo
minor eſt idem exceſſus ſpatio L. Sed & exceſſus quo figu-
ra circumſcripta portionem A B C ſuperat, minor eſt ſpa-
tio K. Ergo utergue ſimul exceſſus minor erit ſpatio K L
dato. Et conſtat fieri poſſe quod proponebatur.
Theorema III.
SI portioni hyperboles, vel ellipſis vel circuli por-
tioni, dimidiâ ellipſi dimidiove circulo non majori,
circumſcribatur figur a or dinatè; ejus figuræ centrum
gravitatis erit in portionis diametro.
Sit portio quælibet iſtarum A B C, diameter ejus B D;
44TAB. XXXVI.
Fig. 3.& circumſcribatur ei ut ſupra figura ordinatè. Oſtenden-
dum eſt ejus figuræ centrum gravitatis fore in B D diametro.
Ducantur lineæ H K, N R, P S, conjungentes ſuprema
latera parallelogrammorum quæ à diametro portionis æqua-
liter utrinque diſtant.

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