# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/79876922X:0478
# Permalink to this reading: https://leibnizlegible.com/page/79876922X:0478?run=74
# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 258, page id 79876922X:0478
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=478
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000478.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.86
# 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.

+
DESIDBRTA PFILOMATHE
sunt duplum rectansulum eocius ee unius par-
eis uta BeO partis alcerius per aequipollentiam.
Recordamur aurem ex siperioribus duplum
rectangulum totius de urius partis f.F to partis
alterius aequari cito torius illius r Oto parris
illius, quod cum toro coefticiebetancupla, H. C.
aeguari F 4 sa A9. Freo polteriorpars Cumma
Ccorum, ex additione provemens, congruic pla-
necum parte priore, quae similiter erat Cig
s A9. Proinde Summa ctorum duobus Ciq
 2 A9 constat. Adeoque Summa Otorum a
partibus inagualibus ost aegualis duplo _to
TemissIS (2C.9) ut clupin quadraco differentia
partium inaequalium à lemisse, quoderat inre
Aisandum. Formalicer enimciando; Ratio
binorum atorum a parcibus inagualibus ad
etum Temissis, eHt dupla t. duplo eto disteren.
tix parcium illarum a semisse.
Desiderium IX.
Racionem quantitatis speciti.
cam invenire inter Guadrata to-
tius aucti d augmenti hrinc; de in
ter duadrata lemissis puri e lemil
Eis aueti inde.
Pota dicatur A, anementum D. Proinde
tota aucta erit A e F, Bcum ejus A9  F9
 2AE. per Delic. 3. Cui si quadrarum au
Bmeti
10