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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)
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LIB. II. DE COMPRESSO ET TENSO.
EEE
quam pondus aequale ponderi dere minori chorda imprimi, quaim
chordae; certe aequalem ri ten-
sionis imprimet lingulis punctis
AE, e cum cor sint puncta in chor-
da quor in pondere; cunque
lingula puncta ponderis habeant
ruum punctum impetus, r. 8. Cet-
ce coridem impetus pucta in chor-
da AE producene; irirur corus im-
Pecus impressus AF, a ponderc, exie
ad priorem, imprellum per pro-
priam orauirationem, re linca LA,
ad ceiangutum F. ANV; igIEUIE nON
Porest ab hoc pondere co adduci
Chorda, ve sumpacur; Cuppono
enim ad hoc verumpatur, requiri
vim censionis ve AH; sed vis FCN-
Tionis, quae imprimieur A, a pondere
xquali appento, est re punctum,
igicur est ad vim, quae imprimitur
R, ex proprio pondere chordae, ve
punctum, ed ANI, e si pondus du-
PlO maius appendatur, eric visim-
prella puncto A, a pondere dupto,
2d rim centionis a proprio pon-
dere chordae, re lune duo puncta,
2d AN; C criplo maius; vetria, ad
AH; acque ita deinceps; scd ex
suppositione, AN constac infinitis
punctis, de finiri ad infinicum nul-
la est proportio; igieur quancum-
nis pondus appentum aUgCaEUT
modo Temper finicum LeIancat,
nunquam imprimer puncto A vim
censionis, quae SIE VE ANI; quae cum
ad tractienem requiratur, cette
nunquam ab appenlo pondere
Trangetur chorda.
PROP. CZC
Immo si quaelibet chorda constat
punctis infiniiis, nulla chorda vIlo
pondere finito fransi posset, quan-
sumnis minor; es minor: Suxpono
hic maiorem vim, ab aquai PON
maiori; ve constat ex dictis lupra
hoc poliro, sic primo chorda AF,
cuius ponderi, sic aequale pondus
Eppentum, ab hoc tiansi non por
test; immo vis censions improlla
puncto A, ab appenso pondere, Fir. 2G b
distat infinite ab ca, quam Fractio
desideraret, Per prOP. 189. nON
tranger eriam li appendatur chor-
da breniori CA; quia CUINC BIII
eto A imprimic vim duplam prio-
ris, sed haec distar adhuc intiniee
ab AHI; ab eo enim duplum distae
infinice, a quo lubduplum infnice
dictat; idem dico li appendatur
chorda subquadruplae BA, dC. (i
enim eantum addas finitum Anito,
TCIMPCE FCMAMCE EINIEUMI, _E iIMPEO.
Portionacum cum intinito; igicur
GuancumaIS IINMIMMAEHE CMOIda
ab aequali pondere non trangeturi
nec eadem chorda à maiore pon-
dere, quancumuis augeatur, modo
finicum lic, per prop. 189. igirue
nulla chorda FransCTuE, quancum
niS minatur, ec pondus tinice au-
seacur; nempe li pondus ausCaTIE
de chorda imrinuatur, crelcie ris
censionis, in ratione compolita, ex
ratione ponderum, ec chordarum
permutando; v. 9. sic chorda A du-
Pla, B subdupla, e pondus C du-
plum, D Cubduplum; si appendatur
chordae B pondus C, dc chordue A,
Pondus D; vis censionis chorda B
erir quadrupla alcerius; elt enim
dupla ratione chordarum, de du-
pla rarione ponderum; isieur qua-
drupla; id elt compolira ex ratione
chordarum permutando, ee pon-
derum; Led omnis rario compolica
ex duabus finiris est adhue tinica;
IBITUI MIAHCE CEPET IMIPEOPOEM
E1O.