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# Catalogue record: 41161 — Leibniz an Samuel Reyher: Thermometri divisio excerpta ex literis meis ad Reiherum 12 Augusti 1679
# Incipit: Si sit thermometrum AE divisum in partes aequales punctis B, C. Sitque
# Date: 1679-08-22 (79-08-12)
# Sender: Leibniz — Addressee: Reyher, S.
# Akademie-Ausgabe: AA III,2 N. 333
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=41161&katnr=41844
# AA III,2: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00068606
# Title: Leibniz-Handschriften zur Varia Physica LH 37, 4
# Folios: Bl. 155 (from the shelfmark LH 37, 4 Bl. 155): 2 pages, canvases 313–314, page ids 00068606:0313 to 00068606:0314
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068606&page=313
# Lines: 80 recognised on 2 of 2 pages, mean confidence 0.91
# 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 155r — 00068606:0313
# Source image: https://digitale-sammlungen.gwlb.de/content/00068606/jpgs/default/00000313.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
Thermometri divisio
excerpta ex literis meis ad Reiherum,
12 Augusti 1679
si sit thermometrum A AE
divisum in partes aequales
punctis B. C. sitque aeris
in AB collecti vis sive
potentia se dilatandi ut t.
erit hinc si expulsa aqua
dilatando sese spatium AC
occupaverit quod est ad prius
A.B ut 2 ad 1. erit vis
aeris seu conatus sese ad huc
aiuli aeis in AC positi; (seu
conatus se ad huc amplius dicatandi)
ad conatum vim prioremicm
seucum idem intra AB compressus
essiet ut re in reciproca ration
AC ad AB, seu ut AB ad AC.
seu ut 1 ad 2. sive ut 
 Z ad 1. Ergo si vis aeris
in AB sit ut 1. ejusdem
et
in AC dilatati erit ut Z
eadem rationatione ubi usque in
Ad sese expanderit vis ejus
erit  quia H AB est Z Ad.
Hinc si velimus Thermometium ita
describere ut dividere ut
vires crescant aequaliter decrescant,
is
seu ut gradus caloris aequaliter
huentur erit Thermometrum divi-
dendum in partes in ciquales
’observatu i progressione harmonic.
hoc modo

## Folio 155v — 00068606:0314
# Source image: https://digitale-sammlungen.gwlb.de/content/00068606/jpgs/default/00000314.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
sint enem 
clausum  modo:
commia rohermomerum 8
AC in quo circitera
motetu
eveno
lucu
ns
poris soliti B.
maximuralori
solitum E.
status natunlis (10 
solisio
0g. In .
anter Ees A ves
 usqe ad B. utrinque
volcum
numeri paris, exempli causa
numero decem, E. F. G. H. 
ete. ta ut medium hoc loco
usus ad B. id estquintum sit C umero hoc
progredi libuem
loco quiutum sit O. Nam
ul val
dutprvalla autem punctorum ita
assumantur, ut rectae
AE. AF. AG. AH. etC.
asque ad B sint progressionis harmonicae quous
lubet exemplicausa usque ind B. suit
progressionis harmonica. Jam per
experientiam designetur punctum status
medii seu naturatis, cuj alcribatur cyphra
seu 0. inde numerando seu punctis tum
versus G tum versu A punctis
tnta
nunde nasundia
Nempe higrin il itam sequentia
scentes
rertio 3, et ita porro. idque d utrinus
et puncta inter O et E designabunt
gradus frigoris puncta inter D et A
gradus culoris
inter
et A