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

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[171.] Propositio VIII. Nunc verò ponamus tres eſſe colluſores, quorum pri-mo ut & ſecundo unus luſus deficiat, ſed tertio duo luſus.
Page: 500 (734)
[172.] Propositio IX.
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[173.] Tabula pro 3 colluſoribus.
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[174.] Propositio X. Invenire, quot vicibus ſuſcipere quis poſſit, ut unâ teſſerâ 6 puncta jaciat.
Page: 504 (738)
[175.] Propositio XI. Invenire, quot vicibus ſuſcipere quis poſſit, ut dua-bus teſſeris 12 puncta jaciat.
Page: 505 (739)
[176.] Propositio XII. Invenire quot teſſeris ſuſcipere quis poſſit, ut primâ vice duos ſenarios jaciat.
Page: 506 (740)
[177.] Propositio XIII.
Page: 507 (741)
[178.] Propositio XIV.
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[179.] Coronidis loco ſubjungantur ſequentia Problemata. Problema I.
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[180.] Problema II.
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[181.] Problema III.
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[182.] Problema IV.
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[183.] Problema V.
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[184.] FINIS.
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[185.] CHRISTIANI HUGENII NOVUS CYCLUS HARMONICUS.
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[186.] CHRISTIANI HUGENII NOVUS CYCLUS HARMONICUS. Litteræ D. Hugenii de Cyclo Harmonico.
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[187.] Tabulæ Explicatio.
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[188.] FINIS.
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[189.] CHRISTIANI HUGENII VARIA DE OPTICA.
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[190.] CHRISTIANI HUGENII VARIA DE OPTICA. I. Excerpta ex literis Dni Hugenii, Academiæ Regiæ Scientiarum Socii, ad Autorem Diarii Eruditoruns de Catoptrico conſpicillo Dni Newtoni.
Page: 523 (757)
[191.] II. CONSTRUCTIO PROBLEMATIS OPTICI. Propoſitio 39 Libri v. Alhazeni, & 22 lib. VI. Vitellionis.
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[192.] III. ALITER. Dato Speculo Cavo aut Convexo, itemque Oculo & Puncto Rei viſæ, invenire Punctum Reflexionis.
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[193.] IV. COMPENDIUM.
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[194.] V. ALIA SOLUTIO.
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[195.] VI. Excerpta ex litteris Dni. Hugenii Acad. Reg. ſcient. Socii, ad auctorem Diarii Paris. de novo Mi-croſcopio ex Hollandia allato.
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[196.] FINIS.
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[197.] CHRISTIANI HUGENII EXPERIMENTA PHYSICA.
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[198.] CHRISTIANI HUGENII EXPERIMENTA PHYSICA. Excerpta ex literis Dni Hugenii, Academiæ regiæ ſcien-tiarum Socii, ad Auctorem Diarii Eruditorum, de Phænomenis aquæ aëre purgatæ.
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[199.] EXPERIMENTUMI. Aqua, ſublatâ aëris preſſione, hæret in tubo.
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[200.] EXPERIMENTUM II. Notabile quid in deſcenſu aquæ aëre purgatæ.
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185455ET HYPERBOLÆ QUADRATURA.11
# Extra hyperbolam # Intra hyperbolam
2 # 237170824512628449899917 # 237162487062045867846886
4 # 237166655750699903737556 # 237164571388054419219371
8 # 237165613567087322970403 # 237165092476425954356426
16 # 237165353021613523599438 # 237165222748948181485250
32 # 237165287885271907848389 # 237165255317105572320456
64 # 237165271601188181041012 # 237165263459146597159038
# ## hyperbolæ ſector intra ſequentes terminos conſiſtit
# 237165266173160272103220 # 237165266173160458453029
Sit inter hos terminos maximus quatuor continuè arithmeticè
proportionalium 237165266173160421183067; qui proinde erit
verus hyperbolæ ſector in notarum numero propoſito, quoniam pri-
mus triens notarum idem eſt in utroque termino convergente.

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