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

Table of figures

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[121] Pag. 170.TAB. XXVI.Fig. 1.Ω O Ω A Z R F R N E N R G S V P Φ Δ V B D K C
Page: 271
[122] Fig. 2.L O A V P Φ Δ V B E C S H D
Page: 271
[123] Fig. 3.F G E G P A P K K L B D B S
Page: 271
[Figure 124]
Page: 286
[Figure 125]
Page: 287
[126] Pag. 188.TAB.XXVII.Fig. 1.O V VA M N D N B O E CE A G B D C F
Page: 292
[127] Fig. 2.S Z G F H Y
Page: 292
[128] Fig. 3.D A D M T C
Page: 292
[129] Fig. 4.A E N D C
Page: 292
[130] Fig. 5.K D B G A F E H
Page: 292
[Figure 131]
Page: 297
[Figure 132]
Page: 316
[Figure 133]
Page: 319
[Figure 134]
Page: 322
[Figure 135]
Page: 336
[Figure 136]
Page: 353
[137] Pag. 248.TAB. XXVIII.Fig. 1.B A E D H F I G
Page: 355
[138] Fig. 2.M B A E D L N H F O I G
Page: 355
[139] Fig. 4.O P M I B G Q N L R H A F D
Page: 355
[140] Fig. 5.B A D L N H I
Page: 355
[141] Fig. 3.a B c A C
Page: 355
[142] Fig. 7.D A C B E G
Page: 355
[143] Fig. 6.D A G B
Page: 355
[Figure 144]
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[145] Pag. 262.TAB.XXIX.Fig. 1.P E O D C Q H M G N B S R T F
Page: 370
[146] Fig. 4.C A H N E P B L K I
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[147] Fig. 3.N Q O P T
Page: 370
[148] Fig. 2.F D I C A B H K E R S G
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[149] Fig. 5.L M C M E H O D P I
Page: 370
[150] Pag. 268.TAB. XXX.a a I L K M g N l O c k P Q T S Q V T S R f f e n l d h g b
Page: 379
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15797HOROLOG. OSCILLATOR.
Et apparet, ſi dimidiam cycloidem, ipſi A B C gemel-
11De linea-
RUM CUR-
VARUM
EVOLUTIO-
NE. lam, contrario ſitu ab altera parte lineæ C G diſponamus,
velut C N, ejus evolutione, vel etiam dum filum, jam
extenſum in C F, circa eam replicatur, alteram ſemicy-
cloidem F N fili extremitate deſcriptum iri, quæ ſimul
cum priore A E F integram conſtituat.
Atque ex his, & propoſitione 25 de deſcenſu gravium, ma-
nifeſtum jam eſt quod ſupra in Conſtructione Horologii de
æquabili penduli motu dictum fuit. Patet enim perpendicu-
lum, inter laminas binas, ſecundum ſemicycloidem inflexas,
ſuſpenſum agitatumque, motu ſuo cycloidis arcum deſcri-
bere, ac proinde æqualibus temporibus quaſlibet ejus reci-
procationes abſolvi. Non refert enim utrum in ſuperficie,
ſecundum cycloidem curvata, mobile feratur, an filo alliga-
tum lineam ipſam in aëre percurrat, cum utrobique eandem
libertatem, eandemque in omnibus curvæ punctis inclina-
tionem ad motum habeat.
PROPOSITIO VII.
Cyclois linea ſui axis, ſive diametri circuli ge-
nitoris, quadrupla eſt.
Repetita enim figura præcedenti: cum poſt totam ſemi-
22TAB. XVI.
Fig. 1. cycloidem A B C evolutam, filum occupet rectam C F,
quæ dupla eſt A D, proptarea quod axes cycloidum A B C,
A E F ſunt æquales; apparet ſemicycloidem ipſam A B C,
filo ſibi circum applicito æqualem, duplam eſſe ſui axis A D,
ac totam proinde cycloidem axis ſui quadruplam.
Apparet etiam tangentem B E, quæ refert partem fili ex-
tenſam, antea curvæ parti B A applicatam, huic ipſi longi-
tudine æquari. Eſt autem B E dupla ipſius B K, ſive A H,
quoniam in propoſitione quinta oſtenſum eſt K E ipſi A H
æqualem eſſe. Itaque pars cycloidis A B rectæ A H, ſive
B K, dupla erit: exiſtente nimirum B H parallela baſi
cycloidis: idque ubicunque in ea punctum B ſumptum fue-
rit.

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