# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067970:0054 # Permalink to this reading: https://leibnizlegible.com/page/00067970:0054?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11 # Folio 27v, page id 00067970:0054 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 26r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=54 # Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000054.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.96 # 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. Lineae rectae de latera quaelibet similia sunt. (seu nec concavum et convexum in ea discerni non potest) quia de duobis tantum soh ex duo extrema ad eam determinandam sufficiunt quil ab extremis autem solis nulla ratio poti potest, cur hoc latr latus huc alterum illuc potius respiciat. Duae rectae concurrentes productae sese secaburit. Htoc demonstrari non potest nisi phius consideratio plani prae- desselit. Considerandum enim duas rectas puunctum commune habentes esse in eodem plano rectaque in plano, producta, partem punc in definita existente partem punctorum e aliam qum partem plan ab hac alteram ab altera rectae parte esse. Et rectam quoe ad alteram accedit, continuo ad pltatus alteram epartem accedere uniformiter adeoque necessario ad eam pervenore. Angulus rectianens est id quod in duatum rectarum siconcursu con- siderari potest, nulla longitudinis rectarum ratione habita. Seu id quod idem manet duabus rectis usque ad commune punctum productis longitudine ipsarum rectarum utcunque mutata. + AB AcBd Ac, Bd E idem quod cBd vel .BdE vel cBe. A Antgulus rectas est in recta cum ad rectam utcunque productam usque producitur recta, et punc duo anguli quos f qui orcuntua, qui eo ipso oriuntur (quos vocant deinceps) sunt aequales: uterque llicitur rectus 9c B10c ABC. angulus d B9c aequ. dB,oC Sin dBgC p d Boc erit ille obtusus huc erit dacutus. Duo anguli recti sunt aequales inter se. Anguli autem alter altero major intelligitur, Cum partem habet alteri aequalem sed video tamen difficultatem, quomodo enim angulus uni alterius pars est seu quomodo angulas HBG pars est ansuli ABC hoc enim ex neque enim linca e lineae HB, BG linearum AB. BC. sunt partes. quod sidicas ansulum esse id quod liatis. linearum longitudine utcunque mulata idem nanet non. ideo intelligitur aut esse tale aliquid aut partes habere