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]
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
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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
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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22322THEOR. DE QUADRAT. ita eſt quadratum Z Y ad Λ Y quadratum. Quare & per con-
verſionem rationis, ſicut rectangulum B D E ad differenti-
am rectangulorum B D E, B P E, ita quadratum Z Y ad
differentiam quadratorum Z Y, Λ Y. Eſt autem differentia
rectangulorum B D E, B P E, æqualis rectangulo S D P,
ſicut lemmate præmiſſo demonſtratum eſt; differentia verò
quadratorum Z Y, Λ Y, æqualis quadrato Z Λ & duobus
rectangulis Z Λ Y , ſive quod idem eſt, rectangulis Z Λ 114. lib. 2.
Elem. Z Λ Y bis ſumptis, hoc eſt, duplo rectangulo ſub Z Λ,
X Y. Itaque ſicut eſt rectangulum B D E ad rectangulum
S D P, ita quadratum Z Y ad duplum rectangulum ſub
X Y, Z Λ. quare cum rectangulum B D E quadrato F G
æquale ſit , ideoque & quadrato Z Y, erit quoque 22Ex conſtr. gulum S D P æquale duplo rectangulo ſub X Y, Z Λ . 3314. 5. E-
lem. Quia verò F punctum dividit B E per medium, ſuntque
æquales B P, E S, etiam F P, F S æquales erunt, unde
additi utrique F D, erit S D æqualis toti P F D id eſt
Δ Y Ω: ſed Δ Y Ω dupla eſt lineæ V Y, quia bis continet
utramque Y Δ, Δ V in hyperbole, in ellipſi verò & circulo
bis utramque V Ω & Ω Y; ergo & S D dupla V Y, ideo-
que rectangulum S D P æquale duplo rectangulo ſub Y V,
Ω Δ. Sed idem rectangulum S D P æquale oſtenſum fuit
duplo rectangulo ſub X Y, Z Λ; ergo æquale eſt rectangu-
lum ſub Y V, Ω Δ, rectangulo ſub X Y, Z Λ. Eſt itaque
Y V ad Y X, ut Λ Z ad Ω Δ ; verùm ut Λ Z ad Ω Δ, 4416. l. 6. 6.
Elem. eſt parallelogrammum Σ T ad R Q; itaque & Y V eſt ad
Y Χ ut parallelogrammum Σ T ad R Q parallelogr. Sunt
autem puncta X & V centra gravitatis dictorum parallelo-
grammorum; ergo magnitudinis ex utroque parallelogram-
mo compoſitæ centrum gravitatis eſt punctum Y . 557. lib. 1.
A@chim. de
Æquip. ratione oſtendi poteſt de reliquis omnibus parallelogrammis,
quod duorum quorumlibet oppoſitorum centrum gravitatis
eſt in linea O Ξ. Ergo totius magnitudinis quæ ex duabus
ſiguris utrimque ordinatè circumſoriptis componitur, centr.
gravitatis in eadem O Ξ reper@ri neceſſe eſt. Sed ejuſdem com-
poſitæ magnitudinis centrum gravit. eſt quoque in

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