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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 47r, page id 00068193:0095
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et
et
ul-
u
M
m
dus
ba
es
Sert. 1. Cap. 3. De Ductibus
ses vero sint par tes rectam constituentes, propontionales par-
tibus recipientis.
Nam si (Fig. 9.) gravis AE partes AB, BC, CD, DE, sint
pi
proportionales rectae FM partibus respondentibus FG, GH, HL,
C
Lm, et utraeque partes sint constituentes sui tatius, sintque recte
u
S
FN, GD, HS, Ld proportionales gravitatibus specificis partium
gravis, AB, BC, CD, DE etc. erit (per prop. 4.) rectangulum quodque
Gpropontionale ponderi partis respondentis ut AB.
ut Mo
Ergo et FdCOPRSM figura scalaris ea omnibus rectangulis
composita, ipsi ponderi gravis Ae proportionalis erit.
Porop. 7.
Visdem positis, si nulla sit, pars reupientis, n quam non
varia sint ordinatim ducenda, tunc figum sealaris abit n
sogonium curvilineum duitur, propontionale.
eadem fig. 9.
Ut si quae (in fig. superri) fundo E propiora sunt m gra
n-
vi AE, ponantur etse graviora; utique in quavis sectione ut SV,
diversa erit gravitas, cui inter F N et G0, propontionalis XY re-
spondeat, atque ita smper continuando interpolationem, ut rectan-
gula velut TXG perpetuo fiant minora, donco tandem latitur
do eorum sit connescens, fiyura scalaris desinet m ioyonium
curvilineum NrODAL proportionale ponderr, partis responden-
tis AD.
sogonium curvilineum vocs, quia omnes
rectre ut F.N, G0, seriei ducendorum proportionales (nempe qra-
vitatibus specificis) angulum eundem faciunt ad rectam J. M
magnitudini ippus gravis AE respondentem; si angulus sit re-
etus, vocato Orthogonium curvilincum, figuram scalarem
simpliciter vocabo isogonium rectilincum, et tam scalarem
quam isogoniam carvilineam communi nomme figuram ito-
joncam appellabo, et ipta quae eodem angulo insistunt dicentur
or