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# Piece: https://leibnizlegible.com/api/records/40108/text
# Catalogue record: 40108 — Dialogi familiares de Arcana Mathematicorum Analysi, et Geometria receptas Aeqvationes transcendente.
# Incipit: Illustrissimus qvidam Dux horum studiorum amator.
# Date: 1678
# Other printings: F. Piro (Hg.), Dialoghi filosofici e scientifici, 2007, S. 969-970
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=40108&katnr=42010
# Work: https://leibnizlegible.com/work/00068124
# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folios: Bl. 35 (from the shelfmark LH 35, 8, 30 Bl. 35): 2 pages, canvases 69–70, page ids 00068124:0069 to 00068124:0070
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=69
# Lines: 54 recognised on 2 of 2 pages, mean confidence 0.92
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 35r — 00068124:0069
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000069.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 38 lines, status machine
Dialogi
familiares
Mathematicorum
De Arcana Mnthenatum Analasysi
et
Geometria receptas Aequationes
Transcendente
Apud illustrissimus quidam Dux horum studiorum
amator.
cum penitius  imbui vellet
ambigebat inter duos Mathematicos familiares
suas quorum alter Algebram unice commendabat, alter
velut pestem fugiendam dictitabat.
Itorum
crebris concertationibus ego interfui velut concilia
tor. Dux judicem de ferebat et ex conteta ex
ipsae eorum dissertationibus disceptationibus qu
didicet quod quae desideraverat didicit.
q Juter ut um Atgebrista ostendit omnem quam
tilatem partium numero explicari. Geometra contra
openit quomodo Motus  tempus lux conor et
aliae qualitates figuris exhibeantur C ometra
imaginatione. Agebrista ad Tabulas provocat quae
e omnibus rebeus condi carculo possunt mo
incommensurabiles judicium sinterpositum de seri
on
Sectio quam vocant Vivinam. orscalao
anguli per bisectionem. per sectionem divinam exhiberi poterit
2s
infinitis.
extu roradicis quadraticae
 inde aeceditur
C calculum ipsum axplicatur additi et subtrncti.
sunal per firueas. ut Ce mulliplicatio et per ton
rectaneu et divisio per rationes; additu
compositio ratirenum, quae ilud est quod rulgo
vocant
duplicietam regual acreama

## Folio 35v — 00068124:0070
# Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000070.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 16 lines, status machine
it nciprendum inde quid sit. Vator. Ce Valor
est expressio  quantitatis alicujus per alias
qua fommulam quantitatem aequalem, aliarum
qua atitatum fommila expressam. Imo genera
lius incipiendum de foripulis, quod quomodo omnis
magnitndo exprimatur quedom Ergo pumum
quid additio unetipliatio divisio. Ex his compantur
ta radicum extractio. posset et novum
signum haberi pr ex tractione radicis pronicae
d. X+ X aequ. b. erit. X aequ b
vel X qua b. X + bxaqu. b. fier. Xaequ. b. c
si una tantum libera inprediaeur, uut in
co
Circulo e s1- =H  seu v aego x
sed haer illia explicanda obiter adhibitis
valliscans interpotationibus