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

Table of figures

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[61] Fig. 5.A D C G F E B H
[62] Pag. 106.TAB. XIV.Fig. 2.T B M S O I C A F K E L Q P N
[63] Fig. 1.E F K L A G H M C B D
[64] Fig. 3.I G E B P R Q A K C D H F
[65] Pag. 112.TAB. XV.Fig. 1.S D A B C E V
[66] Fig. 2.F A E B K G H N L D M O C
[67] Fig. 3.C D F A B K E G N H
[68] Fig. 5.S M A N B K X T P L F V O C Y D E G H
[69] Fig. 4.Y H A S B K T X F L V P O M N C D G E
[70] Pag. 114.TAB. XVI.Fig. 1.M F E A K G N H B D C
[71] Fig. 2.H A K B R P F L O M N D Q G E
[72] Fig. 3.Y H A S Z X T K B V L P F O C M N D G E
[Figure 73]
[74] Pag. 122TAB. XVII.Fig. 1.S A P B R M D I
[75] Fig. 2.H S Z K B C M D
[76] Fig. 3.P S Z M A B K D H
[77] Fig. 4.H C A E D F B G
[78] Pag. 128.TAB. XVIII.Fig. 1.A G C B D E H F K I M
[79] Fig. 2.A C G B E F D H M N O P
[80] Fig. 3.D L Q A G Q M R E P. Q B F N H Q C Q K Q
[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
[82] Pag. 136.TAB. XIX.Fig. 1.D C X B Y E R I Q L S N K P A TF G Y M H O
[83] Fig. 2.X C D A T E R I Q L S N K P B Y
[84] Fig. 3.F G K C D I E M A B D
[85] Fig. 4.D K E F L B A H G C E
[86] Fig. 5.D C K L F E A G H D B
[87] Fig. 6.C D K F L E H G A D B
[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
[89] Fig. 2.D F K L C H E G A K F L D B
[90] Fig. 3.L D C A E H G B L D
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page |< < (103) of 434 > >|
163103HOROLOG. OSCILLATOR.
Producto axe à parte verticis, ſumatur B E æqualis B D,
11De linea
RUM CUR-
VARUM
EVOLUTIO-
NE.
&
jungatur E A, quæ parabolam A B C in A continget.
Porro ſecetur A D in G, ut ſit A G ad G D ſicut E A ad
A D.
Et utrisque ſimul A E, D G æqualis ſtatuatur recta
H.
Item trienti baſis A C æqualis ſit recta L, & inter H
&
L media proportionalis inveniatur K. qua tanquam radio
circulus deſcribatur.
Is æqualis erit ſuperficiei curvæ conoi-
dis A B C.
Hinc ſequitur, ſi fuerit A E dupla A D, ſu-
perficiem conoidis curvam ad circulum baſeos fore ut 14 ad
9.
Si A E tripla A D, ut 13 ad 6. ſi A E quadrupla A D,
ut 14 ad 5.
Atque ita ſemper fore ut numerus ad numerum,
ſi A E ad A D ejusmodi rationem habuerit.
Sphæroidis oblongi ſuperſiciei circulum æqualem
invenire.
ESto ſphæroides oblongum cujus axis A B, centrum C,
22TAB. XIII.
Fig. 4.
ſectio per axem ellipſis A D B E, cujus minor diame-
ter D E.
Ponatur D F æqualis C B, ſeu ponatur F alter focorum
ellipſeos A D B E, rectæque F D parallela ducatur B G,
occurrens productæ E D in G.
centroque G, radio G B,
deſcribatur ſuper axe A B arcus circumferentiæ B H A.
In-
terque ſemidiametrum C D &
rectam utrisque æqualem, ar-
cui A H B &
diametro D E, media proportionalis ſit recta
K.
Erit hæc radius circuli qui ſuperficiei ſphæroidis A D B E
æqualis ſit.
Sphæroidis lati ſive compreſſi ſuperficiei circulum
æqualem invenire.
SIt ſphæroides latum cujus axis A B, centrum C, ſectio
33TAB. XIII.
Fig. 5.
per axem ellipſis A D B E.
Sit rurſus focorum alteruter F, diviſâque bifariam F C
in G, intelligatur parabola A G B quæ baſin habeat axem
A B, verticem vero punctum G.
Sitque inter dimatrum D E,
&
rectam curvæ parabolicæ A G B æqualem, media

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