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

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

Table of figures

[Figure 81]

[Figure 82]

[83] TAB. XLIV.Fig. 2.D H A B E F G

[84] Fig. 1.E G N L O I Q P D K M H F A

[85] Fig. 3.B E F A D G C

[86] I. CasusFig. 4.Y Q R C A B M L I K V C O S X

[87] II. CasusFig. 5.R C Y Q A B I L M K V O X S C

[88] III. CasusFig. 6.Q C D Y K L I N M S V B X C A G O

[89] Fig. 7.IV. CasusQ D C A B S L N X M I V Y K C G O

[Figure 90]

[91] Pag. 506.TAB. XLV.Fig. 1.C F D B

[92] Fig. 2.C B A E F

[93] Fig. 3.B b F f H c

[94] Fig. 4.C D B A E F G H

[95] Fig. 5.C b d D B E F G f g e

[96] Fig. 6.B G A C D

[Figure 97]

[Figure 98]

[Figure 99]

[Figure 100]

[Figure 101]

[Figure 102]

[103] Pag. 520.TAB. XLVI.Fig. 1.D C E A X F K V O I L T α M N

[104] Fig. 3.Δ A Φ G F N E M I D H L B C K O P Q Σ R T V X Y Z S Γ Δ Θ @

[105] Fig. 5.C B A D E

[106] Fig. 4.H C L E B A D F K G

[107] Fig. 6.L G C F M A H B E I D K

[108] Fig. 2.G C H B A Y L X P K V Q I O S R F D E N

[Figure 109]

[Figure 110]

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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