# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 307, page id 175906937X:0331
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=331
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000331.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine
# Lines: 20 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.

L Y B. II. C a P. IV.
3017
Scuaquaco) B=, in dicta linca HIB F. lumendum est
ab altera parre linex AB, qua datus vel astumprus angulus ABF.
exiltie, punctum EI, ita uc AB ad B FTCC, Sicut a adb; duet aque
AEI, ex praedicto puncto F. ab. oppoluca parce linex AB, quâ lum-
Dcum est punctum FI, ducenda est F P ipsi A II parallelas erirque
eadem FIproducta donec cum linea A B coincidat L. OcuS quX-
CIEuS.
Ecenim, cum tam AB quam BD SIc ∞ X, aut A B ad B D ab
una, uE et AB ad B HI ab altera parte, sit ue a adb; ac proinde
BD velBH D =: itemque, cum A F seu D F. vel DO uc _ HII
sine aequalesscognitxe: erit BF. sive BD. + D F ∞= + c, e B(3
sireBD - DC∞ = -c, ac BTSre HIT -FIB ∞C--. UN-
de cum punctum B sumpeum sit urcunque, eadem erit de omni-
bus aliis, in linea AB, pradictisre locis, assumpris punctis de-
monstrario: atque ita patet praedictas lineas AD, FF, FC, e
FPese Loca guxsica. Ouod determinandum, demonstrandum-
Gue Crat.
242