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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 204, page id 779785487:0262
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204
PE YS IC A TRACT. III.
seu plana, Suppolita eadem velo-
cicare primaria, crune spatia, ni-
mirumi inceoea e ab(oluca aCcC-
lerationis, in ratione compolita
inenturarum e relocicarum acqui-
Scarum; e cum hae linc veillae,
crune in duplicata, vel harum, vel
iIlaru; aPumpEa vero cadem MeM-
FUFa, exIHE Spatia VE velOciEATeS aC-
quisitae; allumpea demum diuerla
primaria ex diverla menlura, crunt
spacia inreora accelerarionis, in
ratione compolica menlurarum d
velociearum acquilitarum.
Vnde licet iuxta hanc progres
tionem chordae censae non redu-
cantur, re ostendimus rractatu pri-
mo; nempe rehoc heret, planum
E18. 47. TFILK dividere deberer bitariam
Frg 45.
aequalicer pyramidem ADC, quod
Tallum esse octendimus; cum rium
Frustum sic 2d aliud vE 5. 2d 11.
perinde camen res sc habet; ac pro-
inde altumpea eadem chorda, led
MINUS FeNCA BBEA ACF, Cuius ve-
locitas acguisica sE GB, eiu(dem
vero magis ten (X iN ACF , sE CB,
erune Spatia ve GB, CB; nimirum
Vt exiangula AGE, ACE; Peu ve
BC, BD, H5. 46. id est, ve lemi-
Parabola BAC, BAD; igitur suB
eadem imensura TempOris AB; vn
de reductiones eiudem clordee
aequediururnas etse, necelle est; li
aureur alumancur diverla chorde
aequeteula, id est, Tub eadem ve-
818. 45. locitate primaria, pura chorda AB
tenF2 in ADB, _ chorda AF Fen
Fa in. ACF, Spatia, DE vides, TUNE
ve criangula ADB, AC F; quae
cum. line proporrionalia, TUINE VE
quadraca lacerum honologorue;
id est, ve quadrata AB, AE; id est,
requadraca chordarum; led vedi.
Porum, seu mensurarum; igieue
tempora reduccionum CUHE rE
chordae.
Ouanam vero houra accipien-
da lic, re habeatur progressio hu-
ius motus secundi generis, quo
Ccilicet reducuneur chorde; nOn
longe a vero aberir li accipiatue
pyramis mixra, cuius balIs liciC-
etangulum AD, alcicudo CF, pri- Fig 47
na Facies eriangulu AFCF, SCCUM-
da planum semiparabola FDG, Cer.
cia planum seniparabola ACC,
quarta demum luperficies parabo-
lica terminata recta CD, e Cemi
parabolis DG CG. nempe ica di-
uidatur haec pyramis per plana pa-
rallela plano FDC, quod est leini-
Parabola, cuius axis est FD; pura
PeF pLanA RITIM, RMOH, aC
re balis cuiustibet crapezii mixci sic
ad velociracem primariam AC, ve
FEuCEII SeCELM vertUS pLaMLI
FDC est ad oram pyramidem mix-
tam, V. 8. (IE RNI, balis craperii
IXTI RMON, CrIE RH ad MO.
vel AC, re Fructum comprehen-
Cum duobus. planis FDG, RMON,
ad coram prramidem mixta; p2-
ei modo licKMI balis rraperii mix-
EI RIFIML, eric ad IHI, vel AC, vE
Frustum comprehenlum duobus
Planis FDG, RTHIM, ad tocam
Pyramidem; hc aurem Facile me-
Finsur prramidem istam: hobenrus
enim prilma, cuius balis est erian-
sulum AFC d alcitudo FD, Cx quo
si decraharur dicta pyramis, resi-
duus erie conus mixtus Cub trian-
sulo mixro DPO, vebali de alritu.
dine DC; habetur aurem hocre
ctanculum cum sic lubrriplum re-
ctanguli DO, _ cum irz decrelcae
dictus conus, sectus per plana pa-.
ntocora Exacio in duxlicaca. rem: callela. basi g. XC b alis siC ad 940d.
libem