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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 597, page id 779782283:0683
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L. 1B. V. DE RRESISTENTIA CORPORHM
eum Faciae, aduersus linoulas bales,
nos eriam aliam Rguram, canque
simpliciorem repore rectilincar,
delexipsimus supra, cui haec cadem
proprietas comperit; ac nemo, quod
Sciam, illam corpori Aiguram PEXe-
Ccriplic, quae rarione proprii pon-
deris, momenta aduersus lingulas
Bales Faciac aequalia; c00 vero di-
co, else planum parabolicuia, con-
cauum AML, cuius applicata ANI,
Sc horixonti parallela, ec aXis MIL.,
muro aftixus: quod Facile demostro:
nam sinc qualibet bales PF, HL,
CCFEE CUM AEF, sic ad rectangulum
BE, VE AML, ad sectanculum AL;
e cum per cationem alternam, seu
PerUTATaM, BF, SIE ad AL , VE
AEF, ad ALM; denique CUM AF,
sic ad AL, in catione compolica la
TCrUM AB, AD, _E AF, AM; Ceu
quod idem est, in composita ex
duplicata AE, AM, ec ex simplici
AE, AM; nam AB est ad AD, in
duplicata AF, ad AM. per n. 2. Ced
compolira ex duplicata AE, AM,
ec ex simplici AE, AMI, est eriplica
ea AE, AM, nam simplex ducta in
duplicaram, facit criplicacam; igi.
cux BE. est ad AL, in criplicaca AF,
AM; id est ve cubus Cub AF, ad
cubum Cub AMI; id est, polico
quod AM, sic dupla AF, vE 1. 2d 8.
IEaGHE MOMeNEU AFF, aduerSuS
balim FF, eA ad MOmenEUI AML,
aduersus Ba(imML, in Fatione com-
Policas exratione distantia, AF, 2d
AMI, gux est =. _ reHSTeNLE F F, 2d
MIL, permucado, quae estS. Punc enim
momenta, rarione relistenrix, ve
ipla relistentix permutando; de hxe,
vero ex his cribus =. 1
5 COm
Polica rario elt . vides aequalica-
tem; pari modo, de omni alia bali
haec momentorum equalicas de
monstracur: rario cuidens est quia
CTCICIE MOMENEUM AEF, aduersus
basim FF, catione minoris relitten-
tia, in racione quadruplicara di-
Stanciarum; naM FF, est ad NIL, in
duplicata AF, AML; e retistentia
FF, ad resistentiam HIL, in dupli-
CaTA PFs ML; isicur in quadrupli-
CaTAAE, AMI; igicur ratione res
Cenciae, momentum aduerSUIS FF
est ad momentum aduersus ML, in
quadruplicata AMI, AF, hoc est
re quadracum quadrari AM, ad AFs
hoc est in satione 15. Ced momentum
AML, aduersus balim ML, crelcit
racione ponderis in eriplicaca AM,
AF de carione distanciae, in Lim-
Plici FaTIONC AMI, AE; Sed si raciO-
nem Simplice, AM, AF; id cA
= ducas in eripliCaLAIM AML, AF,
id est =. habebis E. Igicur canEuM
creleir momencum AMIL, aduersits
ML. racione ponderis, ee dictan-
FI_, CUPEA WOIENEUI AEF, 2d-
versuis, EF, quancum hoc crelcie,
Tupra illud, cacione relistenria mi-
noris; igicur perfecta inde lequi-
cur momeneorum aqualicas, in sin
sulis basibus.
Decimo, haecprofecto est singu-
laris huius plani parabolici pron
pricras, qua non odo uni plano
indinisibili comperit verum eriam
duobus, cinul cunctis, eribus, qua-
tuor, inmueris, ec. Flinc ad ina-
ximam lonsieudinem produci po-
cest planum AML, cirra Fracturams
in duplicaca alcicudinum) deni immo cu in singulis balibus, simyl
que ponderis AFF, 2d pondus frangi bon ponit, nec in rna, po-
AME, quae est =. Cunc enim pon- eius quam in alia, certe non porest
dera, re ipla AFF, AML; iam transi per rictoriam momenri, Cu-
PEa