OCR Text |
Show ' De JVJ uvdi F ~b.r ic a; . t? R • 11 fuo (uperiori, augend us eiHupertor aecep~a ~uifpt am numerus mato~ ~ i en a, a~lt d\l.a9,en~, p~~ut numerus ad fim~ mutuo vna fo a gcn~ ' .. aJll r: :gn,plo pare bit, in quo · ll f" s fucr lt' vr ext ' s· G I II l t f <HTI cquc n ' ' I II quamuiS fi~ 11)~ · , J.g, Jl'a, t ~· ir, f~rior mm1ULS J 19. 3 o . 3 • h. ~ofubtP·h . t ,.,_ ' + .. ' 8 o' l. .... fict mc:: nay.. r ~ 13 57 }9 60 iorlupe• torn.• · · h,. · " ideo accc,do · 0 ; •· · quia Ju. non pofii:m ~ e tra e e a: . . tuo ac - ,., 18. ;~d fini!hum locum Pflmo:um' & tnde m~, uar 3~ l·9· 3~· J. . · nrimum, v.t ande habc:am 60 • q . 1 - Cculmpw v1.n". ~rm?C..Ja nt 6 .t. ,,· "~ quib • dttraherep• Qtlim-JI. JO, ;a8, lJ., S~· • 1 , · morum efi, o' : tdeo proce- . ledqumua~ ocus.p 1 d6 ad 8 & in de accl. pt. o gr. vnurn,t' d e ft ' 6o' • quzponolc:coo•.exh1s g~a·_l · · urn iddl 6o'', fJJll% pono cum z' l, ficq~e potfu~ . 6o'. atclpto vnum plrn~ . 1 , II' a 6loll & remanent 59''. fubfcribendL~ fubttahere. dcrra 10 Jgttur' ' . • d-. '"d . .7 59 60 fuotpolicifupraoumeros:l,l8,o,l,a JU~a. amme· num~n tLJ ,J'.u~ris d:inde dccraho 3 0 ' ) non a o', fed a 59', quz lbl ment(., mcoollnoacmau i ae~.n.~t ea,re· roanentque 19 ·. ,ru. brtC rJ· b en da . po. AL\-_e a quia •n on ppn·~u ll\•,• d h .. 9 a 17 r~"manleruot enim ~ 7, ob grada,un acconunodatu~,. etra ere ~ ' ' t' • • • addo j itur grad us 3o, quos mutuo acctplQ.~. fli gDJ· s 1 • a.c cipio enill.l · figouJ· Vnl:l(Il, qu~d cQntinet gra~. JO,. & liunt gr.5:; 1 a qulbU$ dttractJS , 9, reliqui funt 18, quos fubfcn~o • Tandef!l duno figna h~ figni~ 1,rem~nfic entm fign~m vnu SJ·g. G ob mutuatione altenus fi~nl; quod vt dfict~m, d~ ra. '• beo addere fiona 12,idefi,circulun1 integrum VOl----~ fign9 r~Jia:o ~ fiu~tque figna I J, a9u~bus d~n;10. 6. J •· - 3· remanentt]ue zo. ficQue fc:mper fac1cnci~m efi • 4· 3· . ~od fi numeri inf~rio.res 6nt zqualc~ ' a~t --- minores fupcrioribus; facilima eft opera~w;_qu1a ~. J· ~ fingtJli in feriores detraJmnrur _a fQ_is fupc:nQnbus, 1\ rdidui fubftribuntur, vt h1c Vld~s. • I •' i. J N hacope~ationc.n~.n conf,d~r;t.nt~:~t: 6g~_a, q~atenus figndua funt,:: r~m ea re(QlU(nda funtjn luo,; grad\)s, IJque m loco gra urn' cipicndi, funr, vr e:xcmplo patebit. . . ~. Prcrcipua difljculcfs eft in inpenjepda denommattone pro~u~orum,. c,u in cognofcend~ fP~cje, ex mu.ltiplication~, em.ergcote, fit tgrt':fc htc regula, quando duo r.umeri inuicern ducun tur, addetirnul ~orum o~· minacon-s, feu apices, & habc:bi·s deoominationem productJ. v.~._ti mu,· tip1icentur inuiccm: Io', & 4'', procreabur{tur 40'", quia ex addmooe, .. cum,_ 11 'JU~ funt dqwminationes, feu apices e9rum,hpnt '''. qua: fupc~~f~ tia. igicur primo numerj ipli 10', ~ 41 ', m.ultipli,antur tanqLJ;Jm numera . . ' COlD- • '9 • PllrJ Ttrtttt;, 1 7 9 e8munes,l&6urtt 4ft'•1 • rec:undo eorum apiees addid fcribuneur {upra pr<J.: ducium, ficque peraCla ell multiplieatio. Aduertendum tam en efi quod 'apex, feu denom~natio_ ibtegrorum. ver. g.Graduur.n, fupponitur elfe o, qu% addira aliorum ap1clbus, eos non immucat: quare quando ducuncur grad us, in ali'as fexagenas,product:us eric femper eiufdem apicis, cui us eft: iJJafexagena,vtfiducoJ''. ingra. l.f. fiunt4S'',~c.fic duttis inuicem gradibos producunrur paricer grad us, quia o, addica cum alia o, f.:lcic o. 3• ~Oties numerus·prodUctUS'e(~ maior, quam 60 7 tU!lC quoties ia. ' jpfo continetur·numerus 6o. tot vnitates funt addenda: loco fcqucnci ad finilha,uue IOcd pro'xime 'mi'noris dcoomfnacionis fiue pauciorft apicllm 'rog. duttis'3 '. !n •1", produttus eli? 5' '· .qu:r omnia feme! concin;n~ ~o, & przcerc:a ~! .·Jdeo produdus. ftc_en~ ftrt~end_us .. I". 1 5:'. fub futs otuhs. ratioclh}u~a 6o,ftrupuJa·marons denommaczoms dfi::IUnt vnum cantum fcnipufutn minoris proximc· appellationis. 4· Oportec tingulos numcros mulciplicances in lingufos muiciplicaiJI. dos du~ere. exemplum.linc igirur hi numeri inuicem ducendi. hoc ell ligna r.Gr.J. :.f'· 3 f'. mulciplicanda per if·J.:z.'1• lcribantur vc in formula apparet , dticta fub eis linea quz produelos feparac. Primo igitur due~ duo prima in Jr. fecunda, idelt, ,.., in J'.f', liuntque 70''' e'x pr:rfcriptis regulis: in qu1bus quia feme1 ·6o, continewr, ideo pono vnicacem fub lo co proxime aunoris apicis·, idc:ft, li1b fecundis : reliqua au tern 1 o'''. fub ter.tJjs, vt in·Formula vides. po£lea duco 1':; in 2.f> fiuotque 50 ''• fecunda; qnta fingulares a_Pices adctiti r.fficiont fecuoda: fcribo igitllr Jo':,f~b loco fecundorum. demde· dueo 2•. tn gr. 3, productturque t.prtma, quta apex gr~efl'o.qui additus appici •I r.eLim noh immucac: Scribo igitur 6. fub oco Prtmorum. tandem duco •'· in lignum 1. hoc ell in gr. 3 o.ruxta prim m..... rtgulam; fiuntque 6or.prima, qucr, quia faciunt gr.I.ideo fubfcribo, I. Jocograduum; tic que numerus 2. 1 • functus efi munere fuo. Alt(.:rum igicur ·'~umCI~rum~i. gr. s. duco in tiniulos fuperiores, eodem modo. Primo i~ - · - ·z , J 5 11• \ |