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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 296, page id 867984570:0324
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=324
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine
# Lines: 112 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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290
P OR P TYRI1
chorda FC bilectionem, ut K; item hujus nai DEn xopdus rlu dizerouiar  oiov x  aut
Temiltis bilectionem, uc L. Quod Facile Het,
eo quod MNI in canonio, ipEI FC CongruaL;
caderque D in L; _ C in R. EIIS ita Para
eis, imponemus Subductoria, (ansulta et laerio
urputa cornea,) seu Masadia; iplis paulo al
tiora; posirione vero et limilicudine omnine
non difterentia, ex ratione linex medix iplo-
rum curritaris; quae erit Cubter R canonis bi
sectionem: UE, Si inveniatur chordR PATS FR,
quoad censionem, invariata a RC; hinc no
bis item maniteltum erit, aeque dentam cam
else, ee pariter percultam, es limiliter aridam
Sin ita se non habeat; transferimus probatio.
nem in aliam ejusdem chordae partem; auE
etiam chordam aliam; (rejecta prima ut in-
idonca;) ulque dum ex probatione quod con-
cruum est conservetur. Hoc clt, ut quae Tunt
lonsicudine aqualia, similiaque existencia, can
demque habencia centionem, sint aegnitona se
paratim perculta. Deinde; hoc comperto, di
viloque canonio tenuiori in dictis contonan-
ciarum rationibus; hoc elt, divisa recta NINI.
in rationem MX ad XII, sesqui certiam, ipsius
Dia LCTTarOn, 4 ad 3: _ in rationem MIO ad
ON. Selqui alieram, ipsius Dia- pente, 3 ad 2 3
irem in rationem ME ad PNI, duplam, ipEIIS
Dia pason, 2 2d L: _ in ratIOnEM MR ad
RNI, 8 ad 3, ipsius Dia pason e dia tessaron:
ec in rationem MS ad SII, 3 ad L, iplius Dia-
paton e dia pente: et in rationem MT ad
FV, 4 ad L, ipsius Dis dia paton: Atque a
vunetis ZO P RS F, ductis ipsi MN ad an
BulOS rectos X Oa P t RX Se FV; Scripe
que ad iplas tuis cujusque rationibus; hoc est
ad 25, 4 ad 3; 2d Oc0, 3 2d 2; 2d P t, 2 2c
C; ad RX, 8 ad 3; ad Se 3 ad F; ad IV, 
ad T: Per hanc Cynoplin, expedice invenie.
mis, (ductu maxadii ad singulas sectioncs,
auxibus (uc aiune) accuratistime comprobatas,
Tuas cujusque Ponorum difterencias. Applicata
nempe Canonis recta MN ad R CE chordam;
acque si ne secaTIE MNI recta in punctis ZC
PRST, sic chordam FC sex ricibus dirida
mus; puta, perspicux indicationis gratia, in R:
nunc quidem diritis in rarionem 4 ad 3; nunc.
in rationem 3 ad 2; nuNC, in 2 ad Z; nunc.
in 8 ad 3; nunc, in 3 ad r; nunc, in 4 ad F:
Eric racio ip(ius FK ad RC, nunc quidem 4
ad 3; nuINC, 3 ad 2; nuHC, 2 ad E; HUINC, 8
ad 3; DunC, 3 ad T; nUC, 4 ad J. Adeoque
ratio 4 ad 3, TonuS F. R ad RC, Tonum Faciet
En Flu D iprseias dexoropiaer, ios Flei n. TIpoX pOV
Id 28T8ZNE), Cx 28 Elo pdi uV Z naroHS Da
poCE In En 20dE d XECW NaT F K nat
Y Y Na D H. OVTCOV DE ZTCOV Naa od
a7c071Xa 5EVO a (C NEta OlOV NEC
 pazae X)ae, i lydercea pdv excircor eniyco rn de
Deod n, rn ouoru arra xoder adha Doevra, iy 2
pEOnS aVTCV B XVprIaTOS geCEHS iS I
aor Esce) 2 X 28 navor O dixorouiar oncos
Ear pdi  ∞ EX D Xopd yS pepoS e E DgtM aNTOVCV
etonE), NaTA EWI TCO, TW XN nay WoeoS Z87
de dyner juir pX. x’ioorovor auru cira
Xat P 100Nn na ZyeaV ouoicoS Kar dE pon XXCOS
Exci pesae Depopdo rls donuucoia En MO pEpoS
~ Xoedns r aorns n rlui xoedlu anlu exba-
Nerres rlu recoru cos droinror Sour xeS ar eM
D donspaoias Y aNONS)oV XacOd TSTSW, va
Fa 1o_ pnXn, CC ouoa orra, nat ptav ÉXOTaX
oi, ouorora 2 n cngooudva XcoeiS. Endra, 28
301STS XaaNOBEVTOS, i ~)aDEDEVOS ZS NCmo-
reps nareviS et 2015 eien OIS 7 ovpDcovicr NogoIS
78TC5ID reode ets Y Negor  ∞  E C95YEV
Sniretror, 78 ∞) a TOS apcOV, d WoeeS reia Kat
Eis Y ∞ Epo coees or, iputentv, τS D) a nevres
Y EOS B. Kat mW eis Y D p X NEOS Y XV.
dhconaorer, 3 ) a aocor, B NEoS er Kat eis Y F
pe NEOS PV RozWV, OUTC XPoS Y, 28 X)4 
Scov n 7)a FOapcov C CC eis Y ~ p 5 X po5 5V No
30v, Y 3e05 er, 23 )a cv 3G X) a nEVrE ct
Eis Y D pC Z XpoS Y ZV Nogov d = 05 ev 28 dls
2)g aocor. Kat 3Ia FE O X P ~ F onpcicov
pos dedas ax ) ocV En pV, FG5 oco   pX
s  FV. Kat Y oiNCicOV NOYCOVEN aurCoV gea DO
Adocor EBTCEW Ext pdi ~ G5, d rpoS Teja Ex
de r oco reia reos duo ext de v x V, dua
poS er Ext de D PX, n Xeo5 Y. Ext de D5.
reta reos er ent de D FV, d pos er Kat 20
r evocuontor, cipnooido Wexcecos, en dip ena
50V 7 poqpae r8 uazadis  naparcoins, ouonorzue
VaG Z aNOS EXI X aMPICES_TOV, CoS OHoN, TS XCO
oineicor P0o scor 2∞Doeas. EBaodeton5 id 
AEV TB narVOS ExI Wd En Xopdlev Kat Eav i05
TEpIVE) i pvEo Deta Ld Z 0  C 5 F oy
pricor, 8rco T LEn diencord e a, dynovon u
ojus didaoxaNas evena, ar r X ore pdi eis
7X d rpos Y y nego ore eis Y rv Y rpos Y B ore de eis Y Tw B roos er ore déeis T TcV
eos Y. ore dE eis Y TCV Y XCOS à ore de eis Y rav d rpos er o d d_ POS X  Noy O ésa
ire pdtio d reos y. ore dE Y rpos B ore de B rpos a ore de n Xpos Y. ore de Y poc a
ore de d reos a Susc C o ps dito rar d No7 6  eos Y, PBo( D EN XpOS X n, novod X
314
m MIF. deest oior ro n. in in su  irocias dgoropiav. n M. Enec. F. 5ce sed D. scion quod Dorius videtur
NF. decst ro Ex ∞ goedis pore  una eim onror veton2), n3. P Sic D. sed MF. -- rv. q D. n quatenus. NF..
sint. r Suppleo (quod excidisse videcur) 5 uE coess ri EV enirecror. sAliaque Dlurima menda sustulimuS, re
inS ReDOnO PrO
3ed
ctic
pleo d. sensu postulance.)  Suppleo nn is rit  p t t b,  la B    dolot L Aet HVTE. W naegero
encm