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

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[161.] DE RATIOCINIIS IN LUDO ALEÆ AUCTORE CHRISTIANO HUGENIO.
Page: 489
[162.] CHRISTIANUS HUGENIUS Clariſſimo Viro, D. Francisco Schotenio S. D.
Page: 491 (725)
[163.] DE RATIOCINIIS IN LUDO ALEÆ.
Page: 493 (727)
[164.] Propositio I. Si a vel b expectem, quorum utrumvis æquè facilè mihi obtingere poſſit, expectatio mea dicenda eſt valere {a + b/2}.
Page: 494 (728)
[165.] Propositio II. Si a, b, vel c expectem, quorum unumquodque pari facilitate mihi obtingere poſſit, expectatio mea æſtimanda eſt {a + b + c/3}.
Page: 495 (729)
[166.] Propositio III. Si numerus caſuum, quibus mihi eveniet a, ſit p, nu-merus autem caſuum quibus mihi eveniet b ſit q, ſumendo omnes caſus æquè in proclivi eſſe: expectatio mea valebit {pa + pq/p + q}.
Page: 496 (730)
[167.] Propositio IV. Ut igitur ad primò propoſitam quæſtionem veniamus, nimirum, de facienda diſtributione inter diverſos colluſores, quando eorum ſortes inæquales ſunt, opus eſt ut a facilioribus incipiamus.
Page: 497 (731)
[168.] Propositio V. Panamus unum mihi deficere ludum & colluſori meo tres luſus. Oportet hîc facere diſtributionem.
Page: 498 (732)
[169.] Propositio VI. Ponamus mihi deficere duos luſus & colluſori meo tres luſus.
Page: 499 (733)
[170.] Propositio VII. Ponamus mihi deficere duos luſus & colluſori me@ quatuor.
Page: 499 (733)
[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.
Page: 501 (357)
[173.] Tabula pro 3 colluſoribus.
Page: 502 (736)
[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.
Page: 508 (742)
[179.] Coronidis loco ſubjungantur ſequentia Problemata. Problema I.
Page: 509 (743)
[180.] Problema II.
Page: 509 (743)
[181.] Problema III.
Page: 509 (743)
[182.] Problema IV.
Page: 510 (744)
[183.] Problema V.
Page: 510 (744)
[184.] FINIS.
Page: 510 (744)
[185.] CHRISTIANI HUGENII NOVUS CYCLUS HARMONICUS.
Page: 511
[186.] CHRISTIANI HUGENII NOVUS CYCLUS HARMONICUS. Litteræ D. Hugenii de Cyclo Harmonico.
Page: 513 (747)
[187.] Tabulæ Explicatio.
Page: 519 (753)
[188.] FINIS.
Page: 520 (754)
[189.] CHRISTIANI HUGENII VARIA DE OPTICA.
Page: 521
[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)
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187457ET HYPERBOLÆ QUADRATURA.11
13 # 123200 factus ex 7, 11, 25(2)5, 64(6)2
" # 123201 factus ex 169(2)13 & 729(6)3
17 # 2600 factus ex 13, 8(3)2 & 25(2)5
" # 2601 factus ex 9(2)3 & 289(2)17
19 # 28899 factus ex 169(2)13, 9(2)3 & 19
" # 28900 factus ex 100(2)10 & 289(2)17
23 # 25920 factus ex 10, 32(5)2 & 81(4)3
" # 25921 factus ex 49(2)7 & 529(2)23
29 # 613088 factus ex 17, 23, 32(5)2, & 49(2)7
" # 613089 factus ex 729(6)3 & 841(2)29
31 # 116280 factus ex 10, 17, 19, 4(2)2, & 9(2)3
" # 116281 factus ex 121(2)11 & 961(2)31
37 # 165648 factus ex 3, 7, 17, 29, & 16(4)2
" # 165649 factus ex 121(2)11 & 1369(2)37
41 # 1413720 factus ex 7, 10, 11, 17, 4(2)2 & 27(3)3
" # 1413721 factus ex 1681(2)41 & 841(2)29
43 # 978120 factus ex 10, 11, 13, 19, 4(2)2, 9(2)3
" # 978121 factus ex 529(2)23 & 1849(2)43
47 # 664848 factus ex 7, 13, 32(5)2 & 729(6)3
" # 664849 factus ex 961(2)31 & 2209(2)47
53 # 3059000 factus ex 7, 19, 23, 8,(3)2, & 125(3)5
" # 3059001 factus ex, 9(2)3, 121,(2)11 & 2809(2)53
57 # 5851560 factus ex 3, 5, 13, 31, & 121(2)11
" # 5851561 factus ex 1681(2)41 & 3481(2)59
61 # 3575880 factus ex 5, 7, 11, 43, 8(3)2 & 27(3)3
" # 3575881 factus ex 961(2)31 & 3721(2)61
67 # 1620528 factus ex 3, 13, 16(4)2 & 49(2)7
" # 1620529 factus ex 361(2)19 & 4489(2)67

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