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# Title: [Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea (shelfmark Leibn. Marg. 100:3)
# Folio 17, page id 867984570:0045
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C aP. 3.
EI A R MIO NTCORUM LTB. I
re i oopcrcor ei de Y L Xorcor, Y ceoinovi primorum Consonorum:) De Concinnis vele
Sioe popior eESon ev rois  oinetois ronels. Nui reliquis; quaenam SInE eorum rationes, COni-
de nontoS av éxot Y  evapyar dodZ TV
e idn a Dabebanecor ira ro neos sui ajednon
mode detinietur Cuis locis. Tam vero opportu
num erit, evidentiam demonstrare corum quae
tractenus eradira sune: uc eorum cum sensit
aurcor ouonor sidvor 2 ad trcS excop 10D conrenientiam indubirato subjectam habeamus
2E Sespetvor.
TIA RÖOV aedtSeNTOS detZ BoOV
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uovoropdov ravor 6.
O ed Sr diro r aoncor, C rcor oveintcor
nae seerdu ro cConei vo, n 7  et ruh
Xoedas EGaETCONv BaPcoV apeid Ni
ro pen duvad ras roaras d W adeihes it
daxebesar Ddre ama X)a6ONS pN
NOV EpTOIEV à DoaS YoIS LNEspcoOIS. PNt E
id 7 aoncor n rcov oveiycor  S dvoesEra
aoxcv eiras  d arcopoNias dise do’ert i r
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ad XCoS adiSa) Eave15Co 2G ) 7o na
donS, 7015 XNC15015 F Epd SCV opXercov, ara
Ziaeo Wa coegoZveodat, _  g TaS B MEVMaTOS
ExbONaS. Em r Y et amoicor F Xoedais Ba-
pcdr pin X)ascoLopdicor  a  Dg. M aNFCOV a My
NcIS  Havre aor Y Xopd V, onor n_) reOS au
riu Enasm XTCOS EX SoaV Copev épror Conen dura
or écaes cV Y Bapcr Néy85 eDapp oiS 
Duo pacto Consonantiarum Ra-
tiones indubitato ostendantur.
per monochordum Canonem.
DE R Tibias igicur e Fistulas, exhibere
quod est provolitum; aut, per appena
Chordis Pondera; omittamus: co quod non
Dostint hujusmodi demonstrationes ad summam
accuracionem perduci; sed calumniandi potius
occationem exhiberent, id conantibus. Nam in
ribiis de Fictulis; praeterquam quod lit admodum
ditticile omnem irregularitatem inibi carere:
etiam termini, ad quos tunt exigendae longitu
dines, laricudinem quandam admiccunt indeti
nitam: acque (in universum) Inltrumentorum
inflacilium pleraque inordinatum aliquid ad
junctum habent; ec praecex iplas spiritus inje
ctiones. In appentis aurem ac chordas pon-
deribus; praecerquam quod ipsa chordae haud
Facile conserrentur inter se penitus inrariata;
(cum ec in earum una quaris, per le conside.
rata, id invenire sit difticile:) haud etiam Aerr
poceric, ut ponderum rationes, Tonitibus d le
factis, pertecte accommodentur: cum e, in cif
roudiors di aurcor boDoS rC na) ras ronvore dem ipsis centionibus, spiltiores e subtiliores
eas CC nEmoripaS, ev F avrajs raocoN, 1E Vr 85
Dd07(S noseir. HONV de ÉH MEOTOV,  NON r
râ nS ror duvara noj Ert 2 pnNOS F ZO
dcor ioor 2o pci (OV BâCO, En X Netovi raod, 
aercions P aur Xopdys 7)asuow avriod n n
NDXVCdOA MOMOV cd5 E 3 X)∞ 7350 E oopeninev
chorda, acutiores edant Ponitus. Ouinimo
(quod porius adhuc est) etiam (i quis ea Heri
Polle supposuerit; acque aequalem item Chorda
rum longicudinem: pondus tamen majus, ma-
jori tentione, annexa sibi chorda diltantiam
ausebit masis, camque masis dentabit: ue alia
proinde hic accedat lonituum differentia, pra-
va, g 2 Negov Z Bapcr,  ev 2015 bopOS ter eam quae est a Ponderum ratione. Similid
cepox. 20 WDgn Nyora dE ooubaire, nami contingune in Conicibus pullando factis; quales
7. Xarasuyreso, rwocdicor 3DcV orotss
Bnosor cor 219 7 avioo Sapciv opupcor n di-
ORCoV, (C 785 deo TCOV V rGVCNICOV NEVEdV TEX HE
 Ryocoeducor. EoYCd SS orroS ar S mociv, ev
in malleis, dilcilque, ponderum inxqualium
oblerramus: quique d pacellis vacuis plenit.
que tiunt. Operosum urique omnino elt, in
his omnibus, materiarum omnem de tigurarum
direrlitatem excludere. Verum in Canone (qui
enuor 78701S,  ev F inar, i rois quaon, dicitur) extensa Chorda, omnium accuratistime
aco gmaa. H de, D 2S nansuS Ka- e promprissime oltender nobis consonantiarum
von , Haremondin xoedn, dciza edi juir cor Raciones. Non aurem, tentionem uicunque nacta:
Y NoYVS rior oopPcviior ne Bep  i Wedep O plo iis EroXe nabSo T on
Ced
_ AB. nornoi. V. X noror. V CV. deest ev. m S. ronois oixciass. n AB. crepus -. d AD. Mto - - . Y 3. 10
al_5. r ABSML. roonEor. C AP. 8. a ABV. a)a5- -. b OL. -- oer. CS. -- duour. d I. drod-
-sEpor. fS. BSnouo1S.  C C+TO V. deest aveiso. B CSV. s S ni nad - -. i AB. --naNTaS.
CV. Tavrlio. reliqui aurliv. m S. gegr.-.
sed ranilesto mendo.
V. ∞ soniar nom. - . x 6 10. c. y 5. reras.
ke V
n ABO. narcadsa. BAB. po c 56 abto  1d. adta
V. avro. qV. = nden r . t. 1. V. Y5. 1000 -. V. aeviooe
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