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
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[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
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[13] Fig. 5.B L A C D F M G K E H
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[14] Fig. 4.B L A C D F M G K H E
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[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
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[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
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[18] Fig. 1.B L F A D C H E
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[19] Fig. 3.B E A D C
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[20] Fig. 4.Q B H A F C E G R D K
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[21] Fig. 5.B E D A C G F
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[Figure 22]
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[23] Pag. 340.TAB. XXXVII.Fig. 1.C G H F E DH A X Q Y T N V B G
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[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]
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[Figure 31]
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[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
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[37] Fig. 6.E D C B F G A
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[38] Fig. 8.D E G B A F C
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[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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20320THEOR. DE QUADRAT. rantur duæ æquales E S, B P, & inſuper alia P D. Dico
iterum, id quo rectangulum E D B excedit E P B, æquari
rectangulo S D P. Rectangulum enim E D B æquale eſt iſtis
duobus, rectangulo E D P, & rectangulo ſub E D, P B;
horum autem E D P rurſus æquale eſt duobus, rectangulo ni-
mirum S D P, & ei quod continetur ſub E S, D P, ſive
rectangulo D P B. Igitur rectangulum E D B iſtis tribus æ-
quale eſt rectangulis, S D P, D P B, & rectangulo ſub
E D, P B; horum vero duo poſtrema æquantur rectangu-
lo E P B; ergo rectangulum E D B æquale eſt duobus, re-
ctangulo nimirum S D P & E P B, unde apparet exceſ-
ſum rectanguli E D B ſupra rectangulum E P B æquari re-
ctangulo S D P.
Theorema V.
DAtâ portione hyperboles, vel ellipſis vel cir-
culi portione, dimidiâ figurâ non majore; ſi ad
diametrum conſtituatur triangulus hujuſmodi, qui
verticem habeat in centro figuræ, & baſin portio-
nis baſi æqualem & parallelam; eam verò quæ de-
inceps à vertice ad mediam baſin pertingit tantam,
ut poſſit ipſa rectangulum comprehenſum lineis, quæ
inter portionis baſin & terminos diametri figuræ in-
terjiciuntur. Erit magnitudinis, quæ ex portione &
præſcripto triangulo componitur, centrum gravita-
tis punctum idem quod eſt trianguli vertex, cen-
trum nimirum figuræ.
Data ſit portio hyberboles, vel ellipſis vel circuli portio
11TAB. XXXV.
Fig. 1. 2. 3. dimidiâ figurâ non major, A B C. Diameter ejus ſit B D,
& figuræ diameter B E, in cujus medio centrum figuræ F.
Et ſumatur F G quæ poſſit rectangulum B D E, ductâque
K G H æquali & parallelâ baſi A C, quæque ad G

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