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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 521, page id 867984570:0549
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# Lines: 119 recognised, mean confidence 0.80
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l l L L A R L B.
oe1od8. Lpt poput pato 3 1 26tat
PtCS pO Epio p pBS od apto
pcor pve peptada.
s dicatur Secundorum numerorum secunda
periodi. Lc similiter horum ultimus, Onicas
dicatur numerorum (secundae periodi) Terrie.
rum. Atque lic semper procedentes numeri
Nomina Corciantur, usque ad, sccunda periodi,
numerorum myrio myrelimorum myriadem my.
riadum. Scerumque ulcimus numerus periodi
secundae, Onicas dicacur numerorum primorum
55 Tertia periodi. Acque lic semper procedun.
to; ulque ad, Myriadem myriadum, Numero.
rum myrio nyrelimorum, Periodi myrio my-
reLIIX.
TIis ita denominatis: Si lint numeri ab Uni-
Ecorr depeoi diro porados ara negor =HS nci- 37otate proporcionales continue polici, et proxi-
edvor, d dE 2 Dg rar povad d denas eiri oi oru
aurcor oi rGcorot oud ra poradt, THOcoZcoV axiDu
XaNSucoV COSrTaI et de pEE auo Mo
OHTCO, F Ad TEpCOVZ Na NS iducoV HG ot a NO1, 2 au
2oV 2CCOV 587015, F ouvor  n AS LCOV Ea SV)
deroscéo  225 ox do5 7 ∞ B ulor, d aS nEcoraS
oxr ado5 Y dxiDqcor. 2 O idv S EcOTaS onTadOS
7  Dpcor oydoos esir deoos,  popades.
2a5 de daipa ourados o MGWo. He DE
Naoicor est 8 We aurs, popta proprades easci
rij 5705 de est poras ddripcor deoucor o de
oydoos Fas daipa onrados Est ina poprades
mus ab Unicare sic Decas: Oeto eorum pri
mores, cum unitate, sune ex iis quos dicimus
Primos numeros: Onique hos sequuntur alii
Octo, lune ex iis quos Secundos dicimus: Ca
rerique, ad eundem cum illis modum, crune
5 ex iis numeris, qui dicaneur cognomines diltan-
tix, sux octadis numerorum, a prima nume
rorum octade. Adeoque primae quidem nume
rorum octadis octarus numerus, est, mille ny-
riades. Secunda autem octadis primus, urpore
proxime ancecedentis decuplus, erie, myrias
invriadum; estque hic, Unicas Secundorum
numerorum: Sccunda aurem octadis nUMerUS
octarus, est, mille myriades secuncorum nu-
merorum. Tcerunque, primus octadis cerrix,
urpore praecedentis decuplus, erie, ingrias my-
Fiadum secundorum numerorum: idemque elt,
Onicas numerorum Terriorum. Constat uci
que, multas octades sic continue sequi, ut di
ctum est.
Vrile etiam est hoc cognitm: Si, numero.
rum ab Unitate continue proportionalium,
NaRaor CorrS es aMaNSS Y ex râs aurâs 30o aliqui se muuo mulciplicene in eadem ana
losia constieuri: Factus, eriam erie ex cadem
analosia; a mutuo mulciplicantium Majore t0-
tidem distans, quor eorum mulciplicancium Mi-
nor diltet ab Unicate proportionaliter; ab
Onitate aurem distans, uno minus quam elt
numerus simul Ocerque, quibus se muruo mul-
ciplicances distent ab Onicate. Sunco enim
numeri aliquoc ab unitate continue propor
tionales, a B y dEE nD +n n, quorum a sIL V.
nicas: atque mulciplicetur S’per B. Sicque Fa
a: coridem & B distans, quor s distat ab 1
nitate. Oltendendum cst, quod X XquetUE
n. Ouippe cum, concinue proporcionalium
aeque distet s’ab a, acque n d B; eandem ha-
bet rationem s’ad a, quam a adO: mulciplex
autem est S ipsius a, Per S; ergo et a mulci
plex et ipsius B, per S: adeoque n ipti 7
aequalis.
Apco Ecr apibucor, povas nancicdco, tas da pa
Egaro5, poras naneno pa coEiod S, TpITCOV
de.Bpcor Kai alt BrcoS oi api Quo CaOVIS, a
ovoa  EXoVTCOV, 2a5 deas EudS, m’es r
n pevoraNt prpOScor deDucoro pveias propradas.
38. poras Lanciedc Teiras repiodB, necotur
deBucov G t BrCoS WegaEcoV Le5 raS, qV
LSrcor dE  OuZCOS NaECOVOUSpdICOV EiNa
HIaNV  o S apiooS ahdp
 daripco cor. LaKV dE, (C Ta5 ZeiraS oM
7ad05 o AGWd1c3, CHEt dENan abir est 8 Wed au-
28, pvpras peoptdoEs cose daripcor deoucor
3705 dE Est povas 7 re1rcob apur urmpor de
d noat ourades ESV, i5 eipn.
Xonoruor de est iy rode zvcoono dvor. Fina, à
PiDpecor ro TS poradoS ava Negor = ECOVTCOV, HON
avo. Nogtas d o qvovOS, EOVETI CM T95 aVTOS
ava NoziaS, CnEXcV dero et C Or O X oMa CoNC
ora Za CM aNSS, doous d enarcor T noM a TNa
oraaVrcOV dero porados avd Negor anEXy dero:
ras rados à Dec eri enaroras n éoos csir deD-
pos oupcov,85 anexcorn dero povados ot
anLaOZarTES aNaNSS. S EscoV q apiduoi
VES ata Nogor do pora d05, ot a βy dECnDLX X
poras de E5co oa na) a ginoM C Naoia d od
2 B. o do uovos E5co o Z. FinpDco si oqoctus X. Sumatur aucem, ex eadem analosia,
CH FAS aUTQS ava Noztas O N, anEXcov do 8 b
20001785, 0585 o d diro povados arexd ACINTEOV
07 10c5 Est O Z FC N. EN Et 3V,  ava Noro éou-
Taer,  ioo a n C X o X d dd S a, na) o n do
D. 0 + ausov éx Négor o d o Z a, ev o X nor x B.
HIOMCX NaoOr de Esiv d dS a ZC d. HoIR a HA
vicov a eq est i d a 3 B rid d. 1d5 H 1005 15 b 8
quuid DPleo coeirar axduur, potas neshaoda, nis dabrieas aderodv. m B. iraj. n B. pverans pverosum. o B. uveicu pev-
Riv. igaros ni ra5. qB. is uves anS pvetoscoS aeds pveanS fveroscn axibuuur vey pverades. r RIV
r0. SB. nae rrouaeo puinar. F R iv. Earm. u B. cirainozer. Riv. aira nozer. X B. isronnadion
19. 23 dvoc.
B
i pdso. B B. itm. C MaliM corrcor. d B. draer
reteoe rus mnaroroi. BB. X a. : B. 0 on ris. k B. 81. Rer.
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B. n’oxra cier avrcr. Z Y
3. co5. E RIV. iscoour
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