# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067970:0038 # Permalink to this reading: https://leibnizlegible.com/page/00067970:0038?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11 # Folio 19v, page id 00067970:0038 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=38 # Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000038.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 56 lines, status machine # Lines: 56 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. Atque haec est constructio, qua meliorem ex Algebra ordine tractata, qualis hactenus tradita est erui nequit. Nam etsi variis slus modis, incognitre quari calculusque institui qualem hic lgetra recte atque ordine tractata offert. Satis ad huc commoda prae aliis quae ex Algebra plerumque prodire solent. Verum Sed ipsa Geometria quae solas figuras contem gilatur aftermobis mullo neqotiitu figuris contemplandis immoratur aliam exhibet multo meliore, et maturae magis conseloneam. Scirca angulum datum LM N describatur sertentum circuli quodcunque NMR. quod eum papiat, sive per sumtis per tria puncta NML describatur arcus circuli cuicu centrum sit P. jungantur NP LP et iti his si opus productis accommodetur Vecta AB aequalis basi datae, parallela ipsi NL entroque P radio s A describatur segmentum ABC ACB Quaesiti P RA simile segmento A M L. sit B ex B erigntur Bd normalis ipsi AB ad partes Z. quae B sit vetitudo hianguli) data ducaturus DQR parallela ipsi AB secans arcuri segmenti sin CF Veruntque triangula BqA B A ARB. ABC, AB(C) quaesita sprimo intuitu exhibet constructionem simplicio idem coptar potest indiglia est. Nimirum et seui prior oo comparari Angulo dato E subtendatur basis data AB et per tria puncta A. E. B. describatur arcus cuculi ex AB educatur d normaliter Bd ad partes E quae sit altitudo Trianguli quaesiti data; et per D ducatur parallela ipsi BA secans arcum in punctis C et (C) eruntue Triangula ACB. A(C) B quaesita macile autem praevidere possums problemas si per Algebram tractetur necessario assumere rebene ad gra gradum quartum; sunt enim Qualuor (Triameta (et si omna congrua anter se) Duo ab uno latere rectae AB, totidemque ab altero quae salisfaciunt. At si quise quaereret ipsam eC), ei problema tantum assurgeret gradum ei nasceretur, tantum aequatio quadratica donique si quis quaerat RC radium circuli is difficulter quidem ad aequationem perveniet, sed requatio non nisi pinicam habebit radicem pro onnibus quatuva crrangnlis, aideoque hoc modo fiet cagnium Amipe sed hoc omnia tamen ad constanctionem nostram recta non ducunt. Haec non delenda ph A peri pasre pdse nC2 (8+