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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 105, page id 779782283:0191
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LIB. II. DE COMPRESSO
OR O L F
Elinc primo colligo, etiam chor-
dam in sicu inclinaco, incuruArI
Proprio pondere, in duas Lemipa-
Fabolas, v. 9. sc chorda inclinata
eig. 26. IZ, cuius centrum (CS, quod
deorlum chorda adducac in IV Z,
V. 8. duCaNEur ZT, 6 7. Parallela
SV, cum. X8. parallela IZ, dico
2T, ese lubduplam VS, Ve constat
ex dicis, isicur si punctum T, vel
2 lingulari nisu adducat Seomen-
cum LV, in IZV, icemque punctum
8, vel 6, ad ducac Tegmentum V Z.
in V7 Z; & per puncta l XV,
icemque per V7 Z. ducatur linca,
crune duae lemiparabolae: ducatue
enim YE, perpendicularis, eum
L y, ec 7 S, parallela VT; dico
Y. esse subduplam VP, icemque
95, repatet ex elemencis; icem-
que YX, elle subquadruplam VI,
icemque 97. igieur IXV, est semi-
parabola, cuius amplicudo est TI;
icemque V7 Z, alia Cemiparabo-
la, cuius amplitudo est IZ; igicur
Chorda in seu inclinaco inCUFIAEVE
in duas Cemiparabolas.
Secundo colligo, has duas semi-
parabolas esle inaeguales, nem; c
superior est obculior, inferior verd
acurior; Cunc aurem re lonoicudi-
nes amplicudinum; cum sine cius-
dem alticudinis, nempe planum
(V7 Z, est ad rectangulum lub
TZ, VE 2 ad 3. icemque parabola
TV=L L ad rectanoulum Cub VTL,
VE 2 ad 3. Ve patet ex conicis; ici
tur praedictae lemiparabolae, TunE
incer le re praedicta rectangula;
hac aurem re amplicudines ZL,
Tertio, A planum Rexibile, in
duobus laceribus horizonei paral.
F
TENSO.
lelum imnobiliter aTigatUE, 
curuabirur deortum in EOF parabO.
las, quoc Cune puncta in lateri bus
actixIs; quae latera si sine in eodem
plano horizontali, InCUFUaTUE PEE
dictum planum, v. 8. linceum eodem
modo, quo chorda centa iunca
Prop. 162. Si vero non sine in eodem
plano horizoncali, sed in eodem
inclinato; incuruatur predictum
planum eodem modo quo chorda
cenla iuxta corOl. n. 1. denique (1
pradictum planum sic pacallelum
Plano verricali, ciulque tandem
duo anguli immobiliter aftigantur.
duo latera oppolica, quorum sci-
licet rnum Turlum est, de aliud
deorlum, incuruabuneur in paca-
bolas: v. 8. Sic linceum rectangu-
tum, AS, in sicu verricali actixum, Fi8. 253
in punCtiS AF; LaEUS AF INCUEHAEUE
in parabolam ACF, de latuS OS
in parabolam QTS; Ve ConstaE ex
diclis.
Ouaxto, E plani circularis pe-
ripheria aftigatur horizonei paral-
lela InCUEHaEUE Eocum planum
deorlum in Cuperticiem pacaboli-
cam; nempe perinde est acque si
LOc CBenE chordce inCuTUaTA, quOI
Cunc diameeri in praedicto circulo;
E planum sic rectangulum, de afi-
satur in quaruor angulis, incurua-
cur etiam deortum in Cuxertciem
Parabolicam; est enim eadem rario;
adde quod in Hoc calU, quaCUOF
lacera in quacuor patabolas incur-
uaneur; idem sic in planis crianon-
laribus, polygonis, dec. est enim
cadein ratio.
Ouinto, si chordae cenla inserta
Sine grana xqualis ponderis, etiam
deortum incuruatur in parabolams
cum sit eaclem rario, quam hic ini-
nime sepeto: huc reuoca naurica
reldi