# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068192:0030 # Permalink to this reading: https://leibnizlegible.com/page/00068192:0030?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B # Folio 30, page id 00068192:0030 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068192&page=30 # Source image: https://digitale-sammlungen.gwlb.de/content/00068192/jpgs/default/00000030.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.91 # 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. representetur per figuram cujus basis represenbet bobum, albitudi nesvarice representent ordinabim dueta. applicatum botius resue tans representabitur per recbum constantem qune intobam basin dueta figuram priori aequadem producit. Ut si AB sit virga diversa rum in diversis punctis (D) gra- vitatum (B) (C) graritas ipsius virgae seu media erit LM idest AH vel BGbasis rectangu si ABG aequalis figurae planae AZ)MB exvariis recbisordinatim ad AB applicabis facta patet ex defi- addatur nitione G adiprop: 7. 8Z Definitio 6 MEDIDM ARISsSNeSI CDM est summa quobcunque quantitatum divita perquanti datum numerum. sic medium Aribhmeticum, 4 nempe plus inter 3eG, est, summa, 3G seu Z divisa per numerum quantitatum sed seuper2 fit 4. Medium Arithmeticum inter ua (quantuscunque sit earum numerus) inter tres quantibates 3,5,8 est ib Sujus medii tam Late sumbi- maximus est ususs exemplicau- sa in anternativis aestimandis. ut sitres aestimatores à Tudice de- putati remaestiment unus 81, alter 90 berbius 9b nummorum aureorum medium pretium esigen- dum erit jeu 89 aureorum O anea. idem in aerestimatione spei ob= binet. eodem aubem modo 8 medium Geomebricum inter plures quap bibabes inbelligipotest, cujus Poidicet Logarithmus estmedium aribhmeticum inter Logarithmos quantibabum.. c rOp. LL si SppLicatum hobius resustani ex applicatis constituentium, est medium arithmedicum inter omnia apphicata aequa lium to- beus edementorum. int ipsius AB eLementa aequa Lia ot, 12, 23 8c in quae ordinatim duvantur quanbitates 0. 10; 8t L.11: et 2. 12; FC. ut si esementa 0r, 127 sint