# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851385079:0178 # Permalink to this reading: https://leibnizlegible.com/page/851385079:0178?run=74 # Title: [Idea Totius Encyclopaediae Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea] Erhardi Weigelii, Prof. Publ. Idea Totius Encyclopædiæ Mathematico-Philosoph. hoc est, Analysis Aristotelico-Euclidea (shelfmark Leibn. Marg. 106) # Folio 166, page id 851385079:0178 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851385079&page=178 # Source image: https://digitale-sammlungen.gwlb.de/content/851385079/jpgs/default/00000178.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.93 # 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. De Merhodo Particulari. Sect. 8. nus eni ex puncto anguli oppositi excurrens linea pa- rallela externum anculum secat in duas partes, quarum una uni anculo interno, qui lateri dicto adjacet; aliera alteri est aegualis est id cujus duorum internorum unus uniparti, alter alteri residue, anculi externies oppositi est aequalis. Sed omne Trianculum planum rectilineum est tale, (Ex- decmererborum) RA. FrgO. lesatur minor syllosilmi sexti, nemihi seri Bendo nimium acceracur calamus. Major est exioma Ceomerricum specialiter nic For- macum, (ed ex Mecaphysico generalissimo per subsumprio- nem Auens uequirisridee. Minor probatur: Calefat D. BAP Onacunque linea rectae incidunt inparallelas rectas fa- RA. cinni angulos alternos es oppositos aegnales. Sed in quovis Trianculo plano rectilineo duo latera duo- businternis opposira. Tunt linea rectae, quae incidunt in latus reliquum ipsiq ex optosiro anculo ductam paralle- lam, tanquam in duas parallelas rectas. Ergo. In quovis Trianculo latera duo duobus internis opposira cum latere residuo, es ejus parallela. (UNE, quae Faciunt anculos alternos es oppositos aequales. Mlajoriamdum alibi demonstrata tic supponieur. Si enim hujus etiam, ut ee primae majoris Demonstracionem hiuc transcribere acque ita omnia propositionis principias guae camen ad pertectam ejus scienciam necenaria Cunt, hoc modo perstringererellemus, bone Deus unde chartam su- memus Mlinor certissima est per constructionem ex inspectio: ne schematis. Ergoraler concusio. Decimus nunc esset exstruendus sy Ilogimus explici. cusi Sedhunc benerolus Lector exercicii graria, si Barbar porroplaceas, ipse formabic. Nosmacerium qua demon- Ara BA A en ormis.