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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 92v, page id 00068193:0186
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Je Traitu seu spatio ete
agatur circa centrum L, nec plus una circulatione absolvat; tra
ctus erit ut ipte sector des criptus LMX, qui simul est vix radii LM
Sed hrecta AB in radio moto, peculiariter moveatur recedens a et
tro, ita ut dum trantit ab 1A, B in 121 β, simul himo transei
in 2A2F, via ett quadrilineum 1A1 B2B3B3 A2 A. A. Sed tra
etus seu summa viarum omnium punctorum, huic viae non ett
propontionalis; habetur autem tractut, evatenus autem motus
fit in parallelis, vel saltem quatenus motus m, parallelis assumtis
utcunque, in motus propositi compositionim ingredi intelligitur;
ut suo loco patebit) habetur tractus; duno via centri gravit
tis ipsius voluminis seu figurae ducitur n mobilis volumen so
c
ve catentionem (si modo puncta diversa non eant in contrarias
partes) sed hoc, quod ad viam mobilis metiendam non sufficit,
nin cum coincidit cum tractu; quod fit cum linea a punctis mo-
bilis descripte eundem semper favunt angulum ad curvam, nec
una mobilis pars in locum atterius statim succedit. Porro si
sphaera rotetur uniformi ventisme (si placet) cir ca suum axem
motum, tractus sphaerae, erit ut pondus sphaerae quod fieret
si quodlibet ejus punctum gravitatem specificam acciperet viae
à se percursa proportionalem; unde si duae sphaerae su ro-
tentur, erunt earum tractus inter se mratione composita
C.
ex quadraplicata diametrorum simplicibusque vertiginum et
temporum. Vertiginem autem metior quantitate angulu
deseripti, si circulandi velocitas eadem dato tempore con
finuaretur. E his intelligimus quantum intersit inter tra
etum (seu spatium absolutum) et viam, etsi aliquando tra
ctus sint ut via.
eop. 1.
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