# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/867984570:0528
# Permalink to this reading: https://leibnizlegible.com/page/867984570:0528?run=74
# 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 500, page id 867984570:0528
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=528
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000528.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 117 lines, status machine
# Lines: 117 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

500
licgne racio cpid ex rationibus selqui terria e
selqui altera compolica; necellario conatus elt,
ipsum medium terminum invenire, qui cum Bi
nario conticeret rarionem le (qui terriam, et cuH
Unitate sesqui alteram. Cumque non aliter le
invenire poruerir, quin Onicacem diridat; (Ousp
De nullus numerorum monadicorum, inter 
nicatem _ Binarium porest intercedere;) Iplac
Cunitatem) in duas parres diridens inter le
aquales, eique semittem sui addens, unamque
cum semisse unicarem, quali numerum monads
cum Faciens, camque manitelte inter Vnitatem c
Binarium ponens, ue ommino Facientem eum L
nicace rarionem lesqui alteram, cum Binario let
qui tertiam, ee cum Ouaternario duplam selqui
bicerriam; hanc icidem Cyltematis harmonice
rationem este, numeris ab Onicare ad quaterna.
rium comprehentatis, deultrarit. Nam, cribus
Tynemmenon, proxime seguentem; Ponumque
iltius detrachorci praecellencem (cumque ltan-
rem) Necen. Tynemmenon. Videtur aurem hoc
Cyctema veteribus perperam adjectum, ad aliam
mucationis speciem: quali hoc sistema liE Muca
bile quoddam, praeter illud immutabile. Non au
tem lic dicitur Immutabile, quod non sccundum
GenUS mutetuE, (cum sic id omnium generum
commune,) sed quod mutetur hoc secundum toni
Poceltatem. Nemo aurem existimet, quod Pie
(ad hujus Cyctemaris demonstrationem,) ut qua
nacura lua indirilibilis a plertque supponicilt
tatem) in le poceltate comprenendete lalioues
quae haloa ommta yltemata es diactemata
continent; nequaquam roluilset (ue luppo.
multis censeretus, ul gui problematis neque
Y gsocer, a Ma TC Xara Tud S  oua  M
Dcis rot ruo oieedco, cos e Noycos o HroNepajo5 u
povada diclkct, e addet 8 1018180b poc
tE ) aGTCON OEICKnLBS NoYSS Ouvau
Weiexer ev caurn. Cdu ar nore dice, con eu
NabCir C3A, CAAETO Na pon aonoS HIS Eira) FoIS
MI A N D F L IS B R Y B N N
numerb incer Ce ordine poluris, li primus ad ter
cium racionem habeat guacpans sccundu
aucem sesqui alceram; primus isitur.
ad secundum, rationem haleBst al-
platn-Telqui. bi Terciam. FNDC ANLCM
Cyllema rocatur Synemmenon (con-
junctam:) eo quod habeat, pro 10.
no disjunctiro, aliud ipsi Mele Con-
junclum cecrachordum in acutum;
quer e iplum Conjunctum dicitur, ab acei
dente, (pariter ac Diezeugmenon, disjunctum
Tu quo icidlem Triten lynemmenon, vocant
Tonum polt Mesen provimum; e Paraneten.
lemaeits praeter rationemm aivilerie Unicatem
Si enim ille lon accurale torilet, hanc (uni-
dranaor  nogos, et Bmreirs iy ipuronis neys
ouyne) Chrnorr e avayans avror  eoor épor
ciper, 05 coe5 pi ru duada noiei Y Sire rtoV
EoCo5 ) rls porada r ipuioNtOr Kaj end d ynEO, Con
ancos eixer avror copr, et uin rus. poorada ctean
Ce gd 3dci5 r poractncor apiducor, ueras porados
i duados eponcocir duva) cis duopcenioae cea
No1S aurbi dn opveS, (C 10 Z huIoV TaV̈EN WCGC=
Dais, n ri pesar n ipesodar porssda, sior apiduor
pcractucr noinocpdves, i pera hv D r pora dos c
8 duados crapycos aurlis déidvos, eos MEVTCOS
norsour veos u ru porada r ijutontoV, nEoS:
ri duada  dreiror, neos; ri rereada  d
oaOEmdITEITOV CC F8 npuospErS ovsqualos Noyot
eo rois dro pcriedos pexes rere ados deiDuois Ep
oEunnurdico adE. Kai id retcor aetout
EyS aMacoV RccOV, et o nEcoroS neoS  re
ToV, Negor Exet rer eaaor, o) devropos ipere
NOV na) O nECrOS aeq rioS Y dev
sEpor, Regor EEd dconaoremdhre 1toV. X
701STOV Xa Neirai ousqua ouonuduor
Erenet 8 x ouquidver éxen, arri 2
daev ZEco5, Fn peon rere axopd ev ErE
por ci ∞ ev Weoarpolopdvor hat
avro OrOWVOV, dero 8 oup EbLToS. ou
occonr, Cs1 i F ry Sdvor _ rere a Xopd 2
 es cora, virles ocM  NCOV. FOIHE dV 5ot ∞ 2018-
TOV OVEna DGHEHICD ZOIS NCIOIS POS E
por Cidos pEraCONHS cocaveI METABONMMO M, nae
excivo aperae bonor s) yd FC nara qO pin E
∞ ddy dvor EP _ manim reerum udii occoni
d ts da puebis ot codaritu de
Ta baRCI NEZC) ~ , ONOTE HOWSV ESt MVTCON
205, cos vod et X)aiperov eivaes 2015 CoM etG01S und-
Anpecdilo. Et gd 8 scCo3 tBCh 2105 noc
avrei i CSV Y appoVINCr a mvrcor ousquibrcoV
lerat demontracloe,   Iqui
alius) tranc ubique reprehentionem praecarere
videtur. Sed cum eam rere norisset ita in Le
conrinere tales rationes; proprerea lic eam di.
videre nullacenus ambisebac. Onitas enim, in
materia et extentione omnino conliderata, tic
Poteltare necellario partium infinicarum: inde
que praedietas rationes in le contitere inauhic
2)45a0d Parciou, duvapet et avoynnS anci
POpEpHS ZvErai Erder TO1 Xat 785 Wegcnd 185
MeTC par etL) cal cr, i absurdus else
verto neque velos Macur ad eorum quae
censenda cA. Nam liguis primo iptam tOCaI
nod. 1015 docEV, 1o3 s  o poE PuoNI
oes BNquao eis drodeis Fcdr nae aurS rego
WcoV 2eC0   gd, C XO3, At 
XS F ENeYXOV CUNaCSIOS PajE. FEt o ao
ta aAdaS nd et n COV 7018785 2078682 Wde
Xe et t, N9 701 1010 N e abta o
paS congOE s p Mabtion et  aat
RegouS OEIEXC et CaVEN avarrIPnTCS MSEE
raj. Lat que et 216 Apcotor idi oaeo aurlum
a AB. uato. M. rectius inleo.
vonoder.