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# Title: Leibniz-Handschriften zur Varia Physica LH 37, 4
# Folio 155r, page id 00068606:0313
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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