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

Table of figures

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[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
Page: 51
[26] Fig. 4.A B D C Π Φ N E S P F
Page: 51
[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
Page: 51
[Figure 29]
Page: 55
[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
Page: 80
[36] Fig. 5.HD A B C
Page: 80
[37] Fig. 6.E D C B F G A
Page: 80
[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
Page: 93
[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
Page: 106
[50] Fig. 4.B G R A C D E H F
Page: 106
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21321HYPERB. ELLIPS. ET CIRC. riam dividatur, jungantur K F, F H. Demonſtrandum eſt, quòd magnitudinis compoſitæ ex portione A B C & trian-
gulo K F H, centrum gravitatis eſt punctum F.
Si non eſt in F, ſit ſi fieri poteſt primùm ab ea parte pun-
cti F quæ eſt verſus A B C portionem, atque eſto pun-
ctum L; conſtat autem futurum in recta B D G, quum in
hac ſint utraque centra gravitatis portionis & trianguli K F H.
Jungantur A B, B C, & quam rationem habet G F ad F L,
eam habeat magnitudo compoſita ex triangulis A B C, K F H
ad ſpatium quoddam M; & circumſcribantur portioni & tri-
angulo K F H figuræ ordinatè, ex parallelogrammis quo-
rum omnium ſit eadem latitudo, ita ut duo ſimul exceſſus
quibus iſtæ figuræ ſuperant portionem A B C & triangu-
lum K F H, minores ſint ſpatio M . Igitur duorum 11Theor. 2. h. triangulorum A B C, K F H ad dictos duos exceſſus ſive
reſidua major erit ratio quàm ad M, id eſt quàm G F ad
F L; ac proinde longè major ratio portionis A B C unà cum
K F H triangulo ad eadem reſidua quam G F ad F L. Sit
itaque N F ad F L, ſicut portio A B C ſimul cum trian-
gulo K F H ad duo reſidua, & cadet terminus N ultra tri-
anguli baſin K H. Jam per F ducatur O Ξ parallela baſi
A C vel K H; & duorum quorumcunque parallelogram-
morum, quæ in portione & in triangulo K F H æqualiter
à diametro diſtabunt, ut ſunt R Q, Σ T, ſint centra gra-
vitatis V & X; per quæ ducatur recta Z Λ Δ Ω, ſecans li-
neam Ο Ξ in Y; & ducatur R P baſi A C parallela, abſciſ-
ſæque ad verticem lineæ P B ſumatur æqualis, ex altero
diametri figuræ termino, E S.
Quoniam igitur ad diametrum figuræ ordinatim ſunt ap-
plicatæ C D & R P, erit ut rectangulum B D E ad rectan-
gulum B P E, ita quadratum C D ad R P quadratum ; 2221. lib. 1.
Con. verùm ut C D ad R P, hoc eſt, ut H G ad Ψ G, ita eſt H F
ad Σ F, & ita Z Y ad Λ Y igitur ut C D quadratum ad
quadratum R P, id eſt ut rectangulum B D E ad B P E,
3

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