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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 12, page id 00068192:0012
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a
diversa erit gravitas, cui inter S. N et
GOproportionatis  respondeat
abque ita semper continuando in
interpolationem ut rectangula
resut YXG perpetuofiant minora donec
tandem Labitudo eorum sib evanes
cens, figura scalaris desinit in Jso
isogonium curvitineam NyORI
proportionale ponderi partis reo
pondentis AD.
llogonium curvilineum voco
quia omnes recta ut F N, GO, se
viei ducendorum proportiona Les
nempegravitatibus specificis)
angulum eundem faciunt ad rectam
rectam FM magnitudini ipsius
grauis Ae respondentem; si an-
quLus sit recbus vocabo Orthogo
nium curvilineum; figuram sca-
Larem simpliciter vocabo isogo=
nium rectilineum, etamscala
rem quam isogoniam curvilineam
communi nomine figuram iso-
goniam apellabo,  ipsa quaeeo
eodemanguso insistunt dicentur 
ordinatim applicata, ut F. N.
vel G0 terminis sciliceo seriei
respondentia
et duarum Librarum; manifestum est
bis ter repeti Libram, seu pondus forehi
brarum sex; et quod inponderibusidem
in alis quoqu duebibus inbel Ligendum
esse patet ex ductus definitione.
d
rD1. Z.
si absoLute ducantur duo inse invi-
cem duebus est in ratione composibâ e
eorum quae ducunbur.
Onrationibus commensurabilibus
patet ex praecedenti; nam factum ex
tribus pedibus induos gradus duobis
n
est adfactum ex quinquue pedibus .
septem gradus ductis in ratione compo
sita 2 ad L e 3 ad 7, seu in ratione
2 in 3(hoc est 6) ad L in 7 hoc est 35)
Idem est in ipsis incommensurabitibus,
quia semper daripossunt commensa
rabites, quae ab incommensurabilibus
minus differunt errore dato, ibaque
exror minorest est quam apsumeba
tur, id est nullus assumi pot est
Prop. 4.
si duo quae inse invicem abso-
Lube ducuntur sintut L aterandu
ctus sunbut rectangura.
Cst enim rectangulum ABC ad
rectangurum DeF in ratione
omposita