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
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
[71] Fig. 2.H A K B R P F L O M N D Q G E
Page: 185
[72] Fig. 3.Y H A S Z X T K B V L P F O C M N D G E
Page: 185
[Figure 73]
Page: 189
[74] Pag. 122TAB. XVII.Fig. 1.S A P B R M D I
Page: 196
[75] Fig. 2.H S Z K B C M D
Page: 196
[76] Fig. 3.P S Z M A B K D H
Page: 196
[77] Fig. 4.H C A E D F B G
Page: 196
[78] Pag. 128.TAB. XVIII.Fig. 1.A G C B D E H F K I M
Page: 205
[79] Fig. 2.A C G B E F D H M N O P
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[80] Fig. 3.D L Q A G Q M R E P. Q B F N H Q C Q K Q
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[81] Fig. 4.N Q K C Q D L R E P F A Q G M Q Q H B Q
Page: 205
[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
Page: 216
[83] Fig. 2.X C D A T E R I Q L S N K P B Y
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[84] Fig. 3.F G K C D I E M A B D
Page: 216
[85] Fig. 4.D K E F L B A H G C E
Page: 216
[86] Fig. 5.D C K L F E A G H D B
Page: 216
[87] Fig. 6.C D K F L E H G A D B
Page: 216
[88] Pag. 142.TAB. XX.Fig. 1.D L F K A E G H C L K F D B
Page: 225
[89] Fig. 2.D F K L C H E G A K F L D B
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[90] Fig. 3.L D C A E H G B L D
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262166CHRISTIANI HUGENII
Centrum oſcillationis in Pyramide.
11Decentro
OSCILLA-
TIONIS.
Sit primum A B C pyramis, verticem habens A, axem
22TAB.XXVI.
Fig. 1. A D, baſin vero quadratum, cujus latus B C. ponaturque
agitari circa axem qui, per verticem A, ſit hujus paginæ
plano ad angulos rectos.
Hic figura plana proportionalis O V V, à latere adpo-
nenda, ſecundum propoſitionem 14, conſtabit ex reſiduis
parabolicis O P V, quæ nempe ſuperſunt, cum, à rectan-
gulis Ω P, auferuntur ſemiparabolæ O V Ω, verticem ha-
bentes O.
Sicut enim inter ſe ſectiones pyramidis B C, N N, ita
quoque rectæ V V, R R, ipſis in figura plana reſponden-
tes. & ſicut centrum gravitatis E diſtat, à vertice pyrami-
dis, tribus quartis axis A D, ita quoque centrum gravita-
tis F, figuræ O V V, diſtabit tribus quartis diametri O P
à vertice O.
Intellecto porro horizontali plano N E, per centrum gra-
vitatis pyramidis A B C, quod idem figuram O V V ſecet
ſecundum R F; inventâque ſubcentricâ cunei, ſuper figura
O V V abſciſſi plano per O Ω, quæ ſubcentrica ſit O G,
(eſt autem {4/5} diametri O P) erit rectangulum O F G, mul-
tiplex per numerum particularum figuræ O V V, æquale
quadratis diſtantiarum ab recta R F , ac proinde 33Prop. 10.
huj. quadratis diſtantiarum à plano N E, particularum ſolidi
A B C. Fit autem rectangulum O F G æquale {3/80} quadrati
O P, vel quadrati A D.
Deinde, ad inveniendam ſummam quadratorum à diſtan-
tiis à plano A D, noſcenda primo ſubcentrica cunei, ſuper
quadratâ baſi pyramidis B C abſciſſi, plano per rectam quæ
in B intelligitur axi A parallela; quæ ſubcentrica ſit B K;
eſtque {2/3} B C. Noſcenda item diſtantia centr. gr. dimidiæ fi-
guræ O P V ab O P; quæ ſit Φ P; eſtque {3/10} P V. Inde,
diviſà bifariam P V in Δ, ſi fiat ut Δ P ad P Φ, hoc eſt,
ut 5 ad 3, ita rectangulum B D K, quod eſt {1/12} quadrati
B C, ad aliud ſpatium Z; erit hoc, multiplex

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