# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0188 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0188?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 164, page id 175906937X:0188 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=188 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000188.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.88 # 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. 1614 E L E H. C U R Y A R A M per Cor e qui ad directricem elt rectus lic, uti in prima figura, erit = ue HF sextE Lel. 2 per 34pri M2. ad IB, ica IB ad IO, id eA =; ut DB ad O K, ita C R ad BR. ac proinde. Quadratum rectae (iR rectangulo DB R aequale Ac vero si obliguus fuerit uter que angulorum A BD, F. DB, uti in catetis fisuris, secabune sele efficiens a directrix productu ad eas partes, ubi anculus mobilis, isque qui ad directricem elt, acuri CrunE. Sic itaque iplarum incerlectio in L. puncto. Ouoniam ioi + per 29pri tur cam anguli L BD, L. DB, ex constructione, quam L. IH, I 5 per 6 pri- L FII, propter parallelas DB, TTI, aequales suNE+; CrUNE quo mi. a in casu que 5 cam LinCx L. D, L B, quan L FL, LI; ac proinde d com Ex YI ec S- POlica a vel re(idux b DHI, BI aquales. Cum autem, an- milibus. gulis DBI, HIBO iildem, sire requalibus existentibus, addico h incalib. vel ablaco a communi angulo FIBI, angulus DBHI angulo Ag. TTI 8 V s IBC, id est 5, BOR, tiac aequalis; atque angulus BDHI ex milibus. Constructione angulo D BI, id est 7, BK C, (it aequalis: erunt cincalufis. eriangula BDHI, CR B aequiangula, eritque proinde , ut BD TI e Sim. Lin cosib, 2d DHI sire BI, hoc est 20, ad GK, ita eadem C R adRB. Sic. TYL et quare, ucsupra , quadracum applicatae GK rectangulo DBH V, auc si- milibus. aquale erit. Ouod es provolicum. per 29 primi. 7 per 2) primi. 8 per 32 primi. 3 per 4 seniti. 20 per 34 primi. 11 per 17 sexti. Constar icaque, curram interlectione, uei praedi- etum est, delcriptam, cam ipsam esse, quae Vcreribus Parabola; Polumqe idem punctum quod vertex; lineam autem describentem in statione prima candem quae diame- ter, aue si anculi mobiles recti fuerint, gux axis; inter- vallum vero idem quod lacus rectum sire recentioribus Paramerer ad eandem diamcerum cundemve axem pertinens; atque efficienti parallelas, cas, qua ordina- cim ad diametrum vel axem applicatae dicebantur; Guarc ex eadem nomina recinento. Corollarium I. Per 17 sexti exit. Cuim describentis essctentisque interlectio quibulcunque lationi Dus in uno cantum puncto tlat, maniteltum est, de scribentem in qua- curque