# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0335 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0335?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 168r, page id 00068195:0335 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 167v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=335 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000335.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 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. -y Blela pi Sray +a + raty + ti 0192 100y3. 6 29∞y 7 P ta Ita habetur prunum valor ipsius ge absolute. Da.. 4ga 2ga - qu al rota jam conflrendo dios vutores ipsius , fiet: ex Cermino tertio ed quinto; fiet 29a 2ap O ih p aba 4g. al + a 5D (he sb2 a 4 abax iba p ratia - 2a + ba - ra iba + a 2aq exaxes In sectione conica sit cujus vertex A. abscissa AX sit ordinata YX, angulum ad axem faciens datum XYB, vel ita scilitet ut ratio rectarum. XB, et BY Ritidata E. Datur recta AX F. datur saso Ergo VBr 4 Ergo YBe X bg, ut cadeligo Frax (+) 2ab + ax + (D) a abx + a b p bq YBF a AX p aX B + D Data ZB, quae est 2aZ+Z XB, quae ent +19 X B b. Ergo ABe (. Jam XB c posito AB1Z datur et 15 2aZ 147 et YX eut paz + 2q + aia2+ ca Hoc jai ind solationem problematum transferamus: ad Erculum separatim appliemus + 1 Lray cuns applicata esto 2by -y + l ⊓ YB ergo datur et XB s, E Seby -y 1a et VX cud g y 2by NX erit S 2bys -y + Ca + 2ab3 . e Jam faciemus: sabus B quadrando Rordinando fret: ut yV 2b V + la Pone ca pu c L43 qu =5 VNoZ A aib + cala Eis L be a. si D50. 2a -qu 2ac8 sed incommodum vetus redit quod scilicet raeter quod duo valores puri ejusdem incignike habentur, Ci malo ut quaeratur renedum omipo trnsferatur in platus B, C in B pro y, ponatur y ati 9. 1S.25 1ag+ qga, fietque pradiamdeo + ordiu ando tea y. 1, .. 911 - 24 q2 G12 + hS =gr 7 2gB Et quadiando: ∞yt 1ODY 102y ed Y . Hnc sequitur ante ombia bp- h. (sublato ido temmino aequalionis sensi 0 0) sed sed hinc etiam eo non sublato alia absunditas, nimorum valor ipsius opobis explicatus per h. in termino 2do, e in termino ato 3)a -Eig 692 (ybt ejus ndcu seu () A quaeritur valor rectae YX ex recta AN AL ponatur AV, rI V. Ergo p e, et LB et A6 Sy- . XE,. SiNEa + a AE et A ED B EXE, A AD. AE. Ergo AD- AE ⊓ Ari ar f. 47 (Ex AD ddtur X Du sa 12) Cntet subtrncta YD ExD C XLH DY +q t XY ( VF XE-FE A ec 18 a cr a q. V ysi igo d y+ Eror est qua e ve uon ul AB, sid AE, invula sipl. X.. a 6y = 7 ag + 2a V diba XB esta 2n 2414 AAX7 +2 fietqe, 2by + 10n - y = h + 2tius 13 1203