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# Piece: https://leibnizlegible.com/api/records/27657/text
# Catalogue record: 27657 — Usus mechanicus doctrinae de contactibus circulorum problema Mechanicum non inelegans, Geometricè solvendum; mihi n
# Incipit: Desideratur ut Una rota A
# Date: 1678
# Akademie-Ausgabe: AA VIII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=27657&katnr=55798
# Work: https://leibnizlegible.com/work/00068537
# Title: Leibniz-Handschriften zur Technica LH 38
# Folios: Bl. 145 (from the shelfmark LH 38 Bl. 145): 2 pages, canvases 289–290, page ids 00068537:0289 to 00068537:0290
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068537&page=289
# Lines: 57 recognised on 2 of 2 pages, mean confidence 0.90
# 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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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 145r — 00068537:0289
# Source image: https://digitale-sammlungen.gwlb.de/content/00068537/jpgs/default/00000289.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
usus mechanicus doctrinae de contactibus circulorum
problema Mechanicum non inelegans, Geometrice
tu quod mihi nuper in praxi occurrit.
solvendum
Desideratur ut
aequalas in eodem plano,
Una rota A quatuor alias, in crucem dispositas B. C. D. E
media
Circumagat et; debet ergo rota A ai gas taunem
ui
in punctis, 4 cardinalibus, seu quadrante distantibus
pOrrO
modia
circumposita, e tangere. Desideratur, jam ut rota sit quantum fieri potest
e respectu circumpo-
sitarum,
parva, seu ratus quamur crcumposi
media
ut data
scircumposita
data rota desideratur, ut rotae
fiant quan
tum fieri. potest magnaei quod fiet si sese tengant ut
si duae quaevis in terpota vaciu rotae cirum vicinae, ut BC, et C. D et
DE. et EF setangan atet in figura, nam si vel minimum augerentur e
secarent, et ita impedirent. Ratio autem cur rotae
ut
Circumposit. b. E postulentur quoad 
e
ut nt potentia ad rotam X applicata tanto fortius
jam
operetur. Quaeritur, quae futura sit ratio diametri
rotae  minoris, ad diametrum alicuius
exrotis majoribus. Solutio est facilis. Junctis
rectis BC, Cd, DE EB, patet BCDE esse quadratum
cujus diagonalis CE, a qua si auferatur CF+ EG
aequalis ipsi BC lateri quadrati, vel diametro circuli
majoris) restabit F G diameter circuli minois
si ergo BC, diameter circuli majoris sit m, FG
v
t
diameter circuli minoris sit P. erit CE aequ m 12
et FG aequimo m et FG seu peritaequ. M h -m
seu erit p ad M, ut V2 - 1 ad 1.
circiter
jam
12 aequ. 1. 414 Ca quo si auferas 1. restat, o4 14 Ergo
erit p seu BC vel FH ad m seu FG ut
a14 ad 1000 seu ut 41 ad 100 seu circiter
ut 2 ad S. itaque semidiameter rotae minoris
assumi potest circiter quinta pars diam etri rotae
majoris. Si una rota exterior quatuor inclusas
circum agere deberet posita diametro umius inclusa
1. foret diameter rotae eas circumagentis
+s2

## Folio 145v — 00068537:0290
# Source image: https://digitale-sammlungen.gwlb.de/content/00068537/jpgs/default/00000290.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 2 lines, status machine
ascennocum uresmoud
38, (290).