# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0036 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0036?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 14, page id 175905688X:0036 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=36 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000036.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.74 # 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. 24 Aet at = d X 2y. ak- dx G E O N E F R I A CS Vero 2V + a le + d o quae quidem Force E punctum S caderet inter B_ C; aE VerO =2y + d k +. d _ eres anguli erianguli FS C, Conlequentes ratio ipsius CS ad C F, qua lic ut Z ad e, unde tOTa C F crit eZY. a e k. ) d e X Eodem modo, data est A CF, quam vo- col, inde BC critV - x, e quia in trianguloBCFI 19- tio iplius BC ad BT daca est, quae lic ut Z ad f, exie BT ∞ e CT ∞ 2y = f1 - f= RUTIUS, PEOPECL criangulum FCFE data esratio ipsius C Tad C FI: qu li ponamusue Z ad e, habebitur CTI ∞ +52y +551 -55 Atque ita videre est, quod, positione datis quotcun- que lineis, ex puncto C semper toridem alix ad illas du- ci possint in datis angulis, (juxta quaeltionis tenOFCI;) dux linsulx exprimantur ad lummum per tresterminosi quorum quidem unus compolitus lic ex quantitate in- coonicay, mulciplicata aut dirisa per aliam quandam coonitam; secundus vero ex incoonitâ quantitate x etiam mulciplicat a aut dirisa per aliam quandam cogni- cam; aC certius denique ex quantitate aliquâ omnino Cognita. Fxcepto tantum, dacxe linex sInEOmneS Pa- rallela, vel linca AB, (quo casu terminus ex quancita- tex compolitus erane(cet;) vel etiam linca C B, (quo calu terminus ex quantitare y compolitus cranclcet;) giemadmodum id plus sacis per se manifestum ct, nec prolixiori explicatione cget. uod autem spectat ad si- sna -7 e -, quibus hi cermini conjunguntur, ipsa qui- dem variari possune modis omnibus, quos imaginari liceE. Deinde videre etiam licet, quod mulciplicando ica halee nale Iu D Cu A du C d lla 1 1 IC M9 IEH. riE, p Cpere l mnc de pied M lim du