# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/DE-611-HS-867509:0003 # Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-867509:0003?run=79 # Title: LBr. 943 · Tschirnhaus # Folio 2r, page id DE-611-HS-867509:0003 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 150 lines, status machine # Lines: 150 recognised, mean confidence 0.68 # 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. s Exciteris, nom 17 Apiil. 1677 b subctituendo sront am inventa) gegoht ribu 9x err-27r 9490 g e eritim aequatione xxax +b+9 substitutie a b dby Silesicemo sit X qu. Y-0 et Xapat X ∞.3 essom q +2 aq grmq 89 it inpa noe ce +(ar -27r+ 893 d 243 ie 27 (091 2 99 9. qu desiderata ndix cubicae aequationiae; Hacnulli tractenus graeter D: Mogr a P. Schiellero conc c cset municavi. hid Oedenburgero ido rehcribam nihi poetguam ad ultina efectiona deduxato. graetaria C c in utilchsime oc in tinere guandon speculationas madi, bed nahio nunotrurgos unga habitu e ru sin na in quae arnobatas, caltria habeo in praxim deducendi FB. ex al in modum madi cujac admodu nabimalem, omniium irrationalium quantitatum exprscionem; C int inginitae Seriee obtinandigabs a ulla extractone radicum int exigr. 2aa xx dico ed X xilarit at a e a + a. - a 10 60 348 a 2030 21 e 119 +. 697 - X 4059 eb: quoo serius nescio nu et Methodum Gregori posiunt turminari et posces d Meutoriio propouer hal c tem hetias hasca terminandas aut od idem in prqnrione hoc ta C ultinmsum maximum terminum ivenim:e anim a x at = a + a 10 60- 7 a + a 2 Y 2 3a za 17a na 9ga 3 a+ 2 12 a 10 2970 x 7a 174 eb: progrossio vero numeroni sic proirdit; ad fractionis grandem 12 Eir (rd: 3a) mimeatore () adde denominatore (5) e habebis (12) reupen subsi a p quantis gractionis denominator: ido ad hanc denominatore re) inventum adde preco e dentis factionia (2a) Denominatore (5) dhabebia (17) numeratorem subseguantia fractio dideside niae sanaeritaque erit) 17 a) Methodum quous qua hec inivaricunts segnentibus commilinicabo nec in 12 Mitit qua ec facilitate santantias tioc paradoxas admrodum quas enricti in Tanesie i nec o qnaamqu se tibimetir rabilio offerunt; ihte eclaturun auo ad dentonctratione tumm p. de enta efectistimo hanc a D: Schullero tracsmissa accesi admodum placuit. Sed quae de lartasiot e Rex ac bira dicam nullia roborie sunt; enim larts:o ad exprrientia provocat ad nullibi lagi uno dolius indiqenit qua oddi hallem don ratione homnos incidant t in notiona entia pfectissimi, dum dicie d ad affirmando aliusand av in eohilivo dehinie ascrirgant ad comparabivum e hic corro ad cupla livum d ania hac operatio admodum familiaria e heminibus pit vil de quibus vis rebus in hug latim ex D guonlso video quara hominae gohint renhate intelliger, quid ut cua efectis sinum atque c sic e consegurus recusare demo tratione quam iphis exhibuit exitentia : do Tanm licet ho su maximm ihum habiat ad eo ut d Stupid. guivis possint couvinci exictenti Dei. Bltamen shilo Des sortis intishactum huihgat cum cognitio talie entie efectihrimi pout fulgus concigit gabis crasra je ca un cognitio e; oq Cartasia dilucde et variis in ocis explicat (adeo ut mirer l hac negar ade D+ dc erctionem intelluat; dicititaa ffactionm aoralibatem eu idem iphi ess, item in alio loco; et ef D. e e∞ dC ctionem infalligit. ad de este particigat quo uiagie itug rs de aher partici eo sunt ofectioras (tim 2c OD..sc madlartasiu dicit subctantio ea efectiores modis) sec acoutra ipse inis fectum gd de nonasra fari 1X C C licipat seu ut intia Phrasi atar da nihilo, veluti dubitatio, igutreutia, divisio cb: cmitaque omnia c distincta rint in ipsius definitiona niscio quar demonctratio hiric holaemnixa possit rejiu 3 hui 3 e s polligre quanta rit diffirendia sabfinitio cartasis duae. Enc eium confectiscinum hic concetrum c et Eue ad eiqurodi infinitia efectionibus conctat diffenint g gni griore difinitione Daisa ubi on caltus nasie ut octandat quae comprehendit distincta cognitioie constare de Pacit Cot; juxta arnal: 3 qui varo ida ubits is deb et prius grobata ron optinam fecisti, ad eales e D e c intinitae onfectiones eoscint m eode subjecto esta; voscem ouo ostendore gd ex hic posita definitione ede eas efactirimi inpta Cartos: statim tria et emillit ut Mabashyficie Bacila e c als difinitio vodluou larqua corrolarinm sed tema ibus ullabiu in mbam aoraa la datio ne a