# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0442 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0442?run=44 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 220v, page id 00067993:0442 # Scan: The same scan as fol. 219r (00067993:0439), where its text is given. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=442 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000442.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 44, 2026-08-27T14:25:39Z — 173 lines, status machine # Lines: 173 recognised, mean confidence 0.77 # 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. ruapour =veoygnd 1G1Y POnB LLLINISTPAL MIEBEN SOy UT SSOSIN qe SiSIPeN SPI g unIa ryici: ioned SSuOS SunS e odu CINO BIESAM en] ∞ P3 CosspuSO SSgnd SOdM CdeMd In(59HONS MOs DBH L3ASPSSUE Sey eta My cyra ydr M TymOduReS omps suyde unsons sos nbin: ssop uspes sp surusd3d ∞ SnqsopSumOBV oVeGS SesSI 1d Siqa sined pa vie =DUI LIMOGISUT ESAES enT ergRP UnV3 15: 3SS soedIed OBPE onoss soy ur coringaend exuep3dX CNSSYFOdUI epISUISOS uon odsqud sesse sapas salno op utOmV Oida 0oj0 Sumo, dumpen 13 EnEISGIet_ Siquo Suor nynedde in ens epnuond enodsi id opvenbre preus ign ’um B 33EBGEGHOW SIIPVENIGLP MrEsACS EIDVIIOR BIDSIOVDELHBHOSDRSUnXS MEbHE SuGILEL Sds SMIP. el osdge sepesd ZS MMUuI ysue Sus evodjsd nom Duduinse SsepASu i Sulm E3pB caB3SOVd Pr Siny 3p C0 rGIXS SuSUI I9LLIS3SGHBOLIvELInIOBY SIEISEIBSGS) u.G. 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OpoiScunsyS: Q us Spsnbvat asto sn oiles. elto se l slet l s Brip 3l b Su oHroN 1 Omusuen ump ACTA ERODITORO sepcibiles Formaate docene, qua in Oeomettiam recipienda lu licatum. Ouanci aucem Teire exemplo declacabo. Sic in Fix B currad CL, d F C H quadeano circul Pav. VI. 3. 8. h_CjaM UE F OH ad arCUM G H, EIC AH ad H B; porro demista per iGD hacconcinue quadrans F D aequalis rectae BC: pacet CTeste mechanicam. sam sane per nullum cheorema Barrorvia hujus ABC quadcacura exhibebicur, nis sciatur quod modo n. 2 desideravi. hoc vero cognico, Racim erie manisectum, tam eorum spaciur mnes suas parces absolure esse quadrabiles: calis vero curra mechae nullo, quod sciam, hactenus extibica est; dancur aucem infiniex cales nobscurum esse, Dominum Barcoer praecipue incendisse Problematis, curbam exhibere, cujus rangens dacam conditionem babeat cad pocuilset hic mulco unirertaliora proterre: VE Cx. BE SI SICIn FIB, OFDF curr~ axcunque, A D ejuscangens, DC veco e DB perpendiculares ad AD e A proponaturque curra calis invenienda, ut linex AD, DB, D nameunque proxolicam compolicionem incer se habeane; quod prob FaB. VI. cillime Colro: quemadmodum de aliquando de lidetanci, ue curram dec Fig. IX. narem, ubi quadeacum B C in lineam B D semper aquale sc cubo de excemplo absque calculo problemacis Tolurionem dedis imo tujus u i ec Talis, curbam inbenire, ubi quaecunque pocestates linearum BL 8 B D inter se nulciplicara equales sint conbenienii porestare livea datae; de hujus, curbat Benire, ue productum extribus lincis AD, DB, BC seoiper aequale sit cubo lum cribus lineis absolri. Quinso, hDomino Barrovr BxC N De incrospecta suillet, non opus habiturum suiste tanco et eoreur meco, ac nobis extribuic; idem enim eria quacuorre practa od ejus omnia. Sexco, omnibus his propolcionibus illastri daca aliqua curta geometrica aliam curbam geometricam exbibere, q rectisicari; id quod nobilistimus Hugenius praesticie in peren cus de Hocologio Oscillacorio: hoc enim non adeo Facilis erac det nis, acillacheoremaca; nec ejus peneris vel a Domino Barcour vel a un cemporis publicacum. Non ablimile Hugeniano Pro in- a s 1682 Actis apud Vosedicis publice a me expoticum, in quo ollendis sollsradios in curbam incidentes indeque restexos, suls incersectionibus curbas efficere, rect eis aequales. Haec vero omniname non coreterri existimabis, e Becrimi viri DominiBaccorr invenca paeri Faciam; notri enim maxnoii mihieadem semper habica, aliisque qui ad liec Rudia auimum axplican o videm commendaca: seduc incelliens, quam Aucortic, qui eadem ica excot. licn de le ab alie tracita nu cllecta soupevos se relinaane, decipin lin. 20. Bole verba, incer prastancissimos, in parencheti leee Roricospura; libri enim ejus; de vericace, de cautis errorum sumencizbeolosici quam parum probari Oribodoxis fuerint, grabissi sium Xbcolesotum paris, )op Mulri _ Chrition nocauolai scripiataibes ropposica docem eo1X urunosds osus ores ade oper ZS CGunpnpHOS OtE.SX sopquaxon miusopus vandis unionur sanssod vruusur poscunsur vun vou Uo qus equa ign: issu 2t. Sed erib huns xurses cspsuls MIN 2sed non 13g 3) c urenb (AIpuD eud eurded uonu quys ponb) rqquorr rquu mieia n’sppo sudo pusur CHOMV I3IOS SABHUOS, SPVTI. MHIEHNEINIP OIHSS SE POsGes IOU 5ot DXy OdDe SubrE: DEOGE] EVD LINSE M CHOLeL de CHMIAISA in roduos cspe uopmb onb :erssosr unumb ne cumsenb pe nyuoe sudo 3U CV erDA LBBEESLSATM OyapHOS Cofigiodu sa gsecumaord pmib iegusod dayenb X3 EWBLOSI WMII3I SjesdI3B 28 Z = Z Z dVeH L3HC 3133Od mnguT oneredtOS : Yd dsBDU =Ord i3SDP Z D unuOyuSP uinsenp Z seruerib AMDGey 3IELBS OBGI OMSS) Ut LTUS 15 . 3 ees CuonsinboLS ib un suuipouio vou nsos in un suls ood enusnbouon SHD CMDSHBIMI HOI HOIMN SEEI COASPHSYO SAEP RIXSIHOS Osda BiOn : SABGIGXD CEHIBENIE pGIE BWI pA LEIHOHe (S JOUVE eYENS) su e menbuna ∞ ceres sjusde pa et. 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Suye syN osjes pOnB) qu ue lqHa SpuXS enbnnI E3YOd NON MIUT SEISSOSG OreS ouisus uns uisvoneseduos essec Srep EIpe HON SICLIIS LOSE OV p mr porib coX Suogey ory emb Orda X (ansverred 3Oy cuvON EAedO3 _)2BSS y C3BIyPBIET) CMPUSGIPE 3H etaBLOSIB consus LMPUNSS CMIRHOyESLIP MnSenP 35 ZZ y Cumdoesdu = ZZ Iy EIDEND i]BUHDKDGZH SepHdqIGPE D Mp yoc uoe seub AdOLIaA84 V1 METSISMLARFA A. N DCLXXV. 169 IOANNS CRAIGE MELHODUS EIBURARUM LINEIS rectis C curvis comprehensarum quadracuras determinandi. Londiit ablid Motem Pitc, 1685, In 4 PRactacum hunc, simust ac ae manus nostras pervenic, Claristimi Viris, ad quoscum praelacio, cum subnexa cractatui animadvertio spectat, quorumque inceresse existimavimus, ut quamprimum copiam ejus nancilcerencur ansmimus. Unde nihiljam de eo referre potsu mus, nisi quod ex tugra inspectione animadvertimus, Auctorem praemillis cebus propolicionibus, quadracuram circuli, parabole, ty- Perbora, Cplebs, allotuque quarundam sigurarum; inventionem quacraluta Cususvis sigurae; rectisicationes linearum curvarum; cur racum aliguarum superticierum dimentiones, cum aliis quibusdans coenati arsumente tradele. Qua snsiila lector Facili negorio per oire cm vetus Pallcorum foliorum. Oux interea ad animact euote alsctoris scripus huc sicerle nobilistimus Vir per eandem Pecicus resellerie, de voluncace illus puiblico impertiri voluimus. EXCEREZUM EX LITLERIS BOMIMTD. X. Liptam missis, d. 20 Febr. 2nno1686. PRactarum Anxlicum, cujus copiam miti cum aliis quibusdam secilti, advertus me destinato conseriptum este, ue innuebas comperi: ec licet Audiis ab hoc arsumenco plane diver sis, nunc dis- Aneac, imperare mihutamen non potvi, quin perlecto libello ju- diciummeum e vellixio reponerem. Hoc ut tanco dexceriis incel. ligatur, nocandum, Mechodum, (dacae fieura SC. auc quadracuram, auc impos- sibilicarem ejusdem demonstrandi) quam mente Ocl. anni 1683 Acta Lrudicorum Lipsiae edica extibene, aon Incesram illam elles led ejus Tolum Fractatus aliquod specimet, quet pecustarem Ivence huic meo destinavi; ve aperte lacis SBICCMM jam acL. 6 P. 437 monuis haec duo verondmodum ab Auctore Hoc contundi, mox oltendam II Ipsum etiam hoc specimen non nil peltuS hujus actis me expoluiste: adeoque tam de co, quau Bethodo ipla incelligen dum fuisse cicati locimonicum: Verum hec alii remporireservan necmis, suc, nbi ad sucucicuciam (quam pravideo bic quoque a perspicacioribus