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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 182, page id 779782283:0268
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et
P H YSTC X.
TR AOTAFVS
aum HI, per reductione est reerian-
gulum, cuius alterum latus, circa
angulum rectum, sIC VEHIX, alce.
rum vero sic spacium; hinc eoca vis
acguisita per reductionem a bOC2
IEA, CA VEMIXEuS cuneUS; cuiuS
ba(5 Sic rectangulum aequale pri-
mo triangulo, quod reprae sentat
vim acquilitam a puncto R, alti-
cudo vero (ICKA; altera vero Fa-
cies sic planum parabolicum HL. A:
Hinc vides vim cylindri censi ha-
beri in cuneo rectilineo; plani re-
ro crianguli Ten (I, IN MIXTO: PExTC
rea hinc habecur proportio virium
acquilitarum; ex his etiam habes
aquationem plani, de Colidi; sic
enim planum FL, X Colidum, pris-
Eis AS. IA FEDBL A; quod si diuidacur
per planum AI. D, ec planum FL,
per lectionem parabolicam FZL,
ducaneur quorlibet plana parallela
MOP, OFIC, ecc. iremque linea
P2rallela MO, OFL, e c. dico esse
perfectam aequarionem: nam pri-
mo, planum AL. D ica diuidir pris-
in2 praedictum, vepyramis ABL D
Sc Cubdupla alterius Colidi Ceu py-
ramidos ALDEE; Sic parabola
FZL ica dinidie planum FL; ve
triangulum ixrum PAL, Sic Cub,
duplum alterius ixeiFLF: Secun-
do, criangula parallela RZP, IKC,
SRO, ALB, Cunt in ratione dupli.
caca alcicudinis pyramidis AL BD;
V. 3. GI ALB ST16.SRO etiE 9. IKC,
4. RXP, 1. Ica Ce habene lineae
MX, OZ; NT, AC; nempc (I AL.
AC 16. NF, erit 9. OZ, 4. MIX. 1
cerrio, ve se habent crapezia
NISRI, GIKII, MKXO, cum trian-
gulo FDE, ica le habene linex
CL, ZFI, YQ, CUM FF,; d v criar
Bulum FFD, est 16. craperium
NDXR, 15. CFAKI, 12. NIIR5, 7.
Eo
ica linca FF. est 16, YO, 15. ZLL, 12.
FL,7. Querco, re le habent lcomen-
c2 pyramidis ABLD, divila per
plana pacallela ABL, ica se habene
Leomenca trianouli mixti PAL, di-
uisi per parallelas FE; v. 8. SIC Py-
raIIS ABLD, 64. pyramis SROD
Cxic 27. TKCD, 8. RXPD, 1nica
Piorlus criangulum mixeum ALF
exic 64. FITF, 27. CZF, 8. MZF, 1.
hinc eorum prilmd exit 192 Coli-
dM VeTO, LeU PyFaMIS ALDEF, 128.
quae eodem modo diniderur, per
plana, quo criangulum mixtum
FEL, ve paret ex dictis; hinc li pla-
NUIM FL SIE192. Q FAL. 3 64. FFL,
128. NL, eric 45. TIL, LL. ANTL,
37. GL, CNIE 96 GALZ, 56. ZFIL;
40. denigne MIL, 144. MAL X, 62.
ZOL, S1. denique FFLT, 117 FFH2
88. FF C7, 47. haec in gratiam EyrO-
num addere placuic.
PROP. CCLX X XLX.
Silinea, vel cylindrus census in
arcum circularem, sit diversa longi-
endinis, sed ejusdem crassicudinis; es
tensionis, cum alio, porest determinari
proporiio virium nisus.
Primo, vis nilus exeremi punctis
veriusque cxlindei aequalis est, ini-
tio reductionis, in veroque; sic enim
AE, lonsicudo maioris cxlindri, 5ig. 430
FEH(I IN CIECULAEEI AFCUI ADF; SIF
AC longiendo minoris, aque vensi,
in AD; equidem singularis vis nilus
puncti F, est aequalio singutari nisui
puncti C; est enim aequalis rerius-
que rensio; quia camen cora censio
AE concurric ad adducendum F,
_ tora centio AC, ad ad ducendum
C; idem dico de aliis punctis, cerre
cum sic eadem proportio caularum,
ex effectuum, per aX. 4. ex COnmu-
ni adductione AE, relultar visnisus
C