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

Table of figures

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[Figure 1]
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[Figure 2]
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[Figure 3]
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[4] Pag. 324.TAB. XXXIV.Fig. 1.O B E P L S Q M R N A K H G D F C
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[5] Fig. 3.B Q P S O N R M E H K G A F D L C
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[6] Fig. 2.B E A G M C D H R F K L
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[7] Fig. 4.B M L K E A D F H C
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[8] Fig. 5.B B A D C A D C E E
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[9] Fig. 8.K G H M E F B L A D C
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[10] Fig. 6.S E B P D
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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
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[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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147420VERA CIRCULI fieri poſſit) generalis methodus inveniendi omnium ſerierum
convergentium terminationes.
PROP. VI. THEOREMATA.
Dico differentiam inter triangulum A B P & trape-
11TAB. XLIII.
Fig. 1. 2. 3. zium A B F P majorem eſſe duplo differentiæ inter
trapezium A B I P & polygonum A B D L P.
Sit triangulum A B P, A; trapezium A B F P, B; tra-
pezium A B I P, C, & polygonum A B D L P, D: quo-
niam A eſt ad C ut C ad B, igitur ut differentia inter A
& C ad A, ita differentia inter C & B ad C; & permutan-
do, ut differentia inter A & C ad differentiam inter C & B
ita A ad C; & componendo, ut differentia inter A & C &
differentia inter C & B ſimul, hoc eſt differentia inter A &
B, ad differentiam inter C & B, ita A + C ad C; ſed ut
A + C ad C ita 2 C ad D, & ideo differentia inter A &
B eſt ad differentiam inter C & B ut 2 C ad D. quoniam
A + C eſt ad C ut 2 C ad D, erit permutando ut A + C
ad 2 C ita C ad D; & dividendo, ut differentia inter A &
C ad 2 C ita differentia inter C & D ad D; & permutan-
do, differentia inter A & C eſt ad differentiam inter C & D
ut 2 C ad D; ſed demonſtratum eſt differentiam inter A &
B eſſe ad differentiam inter C & B ut 2 C ad D; & proin-
de differentia inter A & B eſt ad differentiam inter C & B,
ut differentia inter A & C ad differentiam inter C & D; ſed
differentia inter A & B eſt major differentia inter C & B,
& ideo differentia inter A & C eſt major differentia inter C
& D: & prædictam analogiam permutando, differentia in-
ter A & B eſt ad differentiam inter A & C, ut differentia
inter C & B ad differentiam inter C & D; at differentia in-
ter A & B eſt major differentia inter A & C, & ideo diffe-
rentia inter C & B eſt major differentia inter C & D; atque
differentia inter A & B æqualis eſt differentiis, inter A & C,
inter C & B; cumque earum utravis ſit major differentia

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