Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of figures

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[41] Fig. 6.G E C K H F L D M N A O B Z
Page: 123
[42] Pag. 82.TAB. IX.Fig. 1.AMO FNP B G C H D K L
Page: 132
[43] Fig. 2.A C E F B D
Page: 132
[44] Fig. 3.C B e N L m E O M D f F A
Page: 132
[45] Fig. 4.C B E G F D f H b A
Page: 132
[46] Fig. 5.C V B E S Δ M O Λ H Φ G Π T N P I
Page: 132
[47] Pag. 86.TAB. X.Fig. 1.D C N F X B V P Δ Σ S M Λ Q Γ T Π Ξ Y G H E I R Φ O A Θ
Page: 139
[48] Fig. 2.D C F B P Θ S O N Q L Δ K Γ T Λ Π Σ Y Ψ Ξ G H E I ζ η X V R Ω A M Θ
Page: 139
[Figure 49]
Page: 143
[50] Pag. 92.TAB. XIFig. 1.D C F E B L H I K A G
Page: 148
[51] Fig. 2.E D A B C
Page: 148
[52] Fig. 3.E H C A D F G B
Page: 148
[53] Pag. 96.TAB. XII.Fig. 1.C E H A G K D B
Page: 155
[54] Fig. 2.N O L K B C M P G D A E F H
Page: 155
[55] Fig. 3.N M H G K O F L C D B E P A Q
Page: 155
[56] Fig. 4.A D F E G B C
Page: 155
[57] Pag. 104.TAB. XIII.Fig. 1.H E M A F K G B D
Page: 166
[58] Fig. 2.A F N E G B D
Page: 166
[59] Fig. 4.A G D C H E K F B
Page: 166
[60] Fig. 3.E B H X L D C A G D C
Page: 166
[61] Fig. 5.A D C G F E B H
Page: 166
[62] Pag. 106.TAB. XIV.Fig. 2.T B M S O I C A F K E L Q P N
Page: 171
[63] Fig. 1.E F K L A G H M C B D
Page: 171
[64] Fig. 3.I G E B P R Q A K C D H F
Page: 171
[65] Pag. 112.TAB. XV.Fig. 1.S D A B C E V
Page: 180
[66] Fig. 2.F A E B K G H N L D M O C
Page: 180
[67] Fig. 3.C D F A B K E G N H
Page: 180
[68] Fig. 5.S M A N B K X T P L F V O C Y D E G H
Page: 180
[69] Fig. 4.Y H A S B K T X F L V P O M N C D G E
Page: 180
[70] Pag. 114.TAB. XVI.Fig. 1.M F E A K G N H B D C
Page: 185
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15093HOROLOG. OSCILLATOR. major erit ratio K B ad B N quam E F ad F G. Sed A B
11De linea-
RUM CUR-
VARUM
EVOLUTIO-
NE. major eſt quam K B, quoniam angulus K in triangulo A K B
eſt obtuſus, eſt enim major angulo H E F qui eſt obtuſus
ex conſtructione. Ergo ratio A B ad B N major erit ratio-
ne K B ad B N, ac proinde omnino major ratione E F ad
F G. Eodem modo & ratio B C ad C O, & C D ad D P,
major oſtendetur ratione E F ad F G. Itaque conſtat pro-
poſitum.
PROPOSITIO III.
DUæ curvæ in unam partem inflexæ & in eas-
dem partes cavæ ex eodem puncto egredi ne-
queunt, ita ad ſe invicem comparatæ, ut recta
omnis quæ alteri earum ad angulos rectos occurrit,
ſimiliter occurrat & reliquæ.
Sint enim, ſi fieri poteſt, hujuſmodi lineæ curvæ A C E,
22TAB. XII.
Fig. 3. A G K, communem terminum habentes A, & ſumpto in ex-
teriore illarum puncto quolibet K, ſit inde educta K E recta,
curvæ A G K occurrens ad angulos rectos, ac proinde
etiam curvæ A C E.
Poteſt jam recta quædam ſumi major curva K G A, quæ
ſit Q. Diviſa autem intelligatur ipſa K G A, ut in propo-
ſitione antecedenti dictum fuit, in tot partes punctis H G F,
ut ſubtenſæ ſingulæ K H, H G, G F, F A, ad perpen-
diculares curvæ ſibi contiguas H M, G N, F O, A P
majorem rationem habeant quam linea Q ad rectam K E.
Itaque & omnes ſimul dictæ ſubtenſæ ad omnes dictas per-
pendiculares majorem habebunt rationem quam Q ad K E.
Producantur autem perpendiculares eædem & occurrant cur-
væ A C E in D, C, B, nimirum ad angulos rectos ex
hypotheſi. Erit jam K E minor quam M D. Etenim, ducta
E L ipſi K E perpendiculari, quoniam K E occurrit lineæ
curvæ E C A ad angulos rectos, tanget E L curvam A C E,
occurretque neceſſario rectæ M D inter D & M.

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