# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0566 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0566?run=74 # Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65) # Folio 80, page id 79876922X:0566 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=566 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000566.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.92 # 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. 80 ARCMTMETRICA LICTAMIRA Per Partes (quater quatuor (unt 16.) Cire com- Putareris per tota, (lemel unum cocum intan- cundem duccum, Cacic unum totum. ) 6. 5. Sed cum dumeri Pantuplicatio AE nihis aliud quam Sumpeio valoris jam discreti vicibus discretis toe vel toc, ut in Pantometria dictum est; non potest Pantuplum alius se neris aue specici esse, quam ejusdem, cujus sune Factores. Inhoc Ductu autem; quando recta ducitur in rectam, aut per rectam, perpendicu lari situr, Si principia efficientia abstraete sine consideranda. transitus a genere in genus aliud craa cis anNoyEVO) celebratur: nam roductum necessario est Superficies; princi pia efficientia lunt. linex. 5. 6. Ouapropcer, ut Productis collineam eium principiorum incer se, sic Promotorums correspondeat Tancuplicationi, ec Productum Tancuplo, effectus iltertuie effectui; Princi pia eticiericia conerete sume concipienda e su menda: nempenonuelincae, led ue quadrata tantae lonsitudinis a lacicudinis, quam datae Ouantieares coefficiontes cacite supponuneaue expresse dicune. eide 5. 7. Scilicet principia efficientia procuri eti, Cin Pancomerria T’ancupli F’actores dicta) unc vel ipsum tantae longicudinis ae laricudinis Dindnarum, quanta datur rectatinea, ut unum commmin aut per se producendum: vel Rectan- sulum abinaequalibus efficiencibus principiis. ut