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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 31, page id 1066518432:0059
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DE VTREBDS ET MIOTIBOS CORBORUM. LIB. I.
31
ficies conica subibit, aequipollebit pressionibus, quas armilla pbq duabus
curvis cbd e pnq (quae alterius kim projectio est in plano cbd) inter-
cepta, e lineolis cx, da terminata; es cylindrica superficies tnm ad
basin Kiem e ad altitudinem el vel ni erectam terminatam que lineolis
D e om paterentur ab eadem potentia eC, in sinculis armillae es cy-
lindricae supersiciei punctis perpendiculariter applicata.
Sumatur in curra exteriore cbd quilibet arcus infinitesimuS sXe e
per puncta s. e currxe perpendiculares ductie st, xy intellisantur
curra interiori pnu occurrentes in punctis f, y. Porro Tolidum cbmd
sectum cogitetur duobus planis per lincolas si, ay ductis ec plano
abd rectis, erunt que solidi cbma, et planorum secantium communes
lectiones triansula rectansula ste, ayh ac solidum hisce triangulis
interjectum tas prisma erit. Ouibus intellectis, prestiones, quas
subibunt facies tehy ec stya (qua considerandee lunt, tanquam con-
tinuam superticiem in ty incurratam stghyas balin sehxe habentem)
aequipollent (5. 63.) prectioni, qua ab cadem potentia ef afficietur
balis sehx. EF cum hoc accidat, respectu cujuslibet alius sehae in su-
perticie conica tbm, et homolosarum ancolarum siyx in armilla, dt
tehy in superticie cxlindrica; perspicuum est, prestiones quas om-
nes areola seha in superticie conica tubeunt, aequipollere prestio-
nibus, quas sustinent omnes areolae tsay quae lunt in armilla, et quas
ustinent omnes tehy, quae in crlindrica superticie bnm continentur.
Ac propterca prestio, quam tutit zona conica kom ab omnibus ip(i
Perpendiculariter applicatis porentiis aqualibus sf, aequipollet prel-
lionibus, quas ab omnibus perpendiculariter applicatis potentiIs ipIIS
eF aequalibus patientur arnilla pbq et superticies cxlindrica knm.
Ouod crat demonstrandum.
PROPOSITTO Z. THEDRLMA.
00. Si sineulis puncts superficiei condeda aut lada B, qua 1B. 19, 26.
solidum partens CBADC ex parte terminatur, potentiae inaequales qui
dem ex superficiei perpendiculares MB, ub ecc. vet BMI, bu eEC. ap-
plicatae sint, sed quarum ea salrem omnes, quae sinculis punctis cujus-
que sectionis bCd basi CBD parallelae applicantur, aequales sint; e
exponantur per homolocam orcinatam zer scala potentiarum; Pressio,
quam superficies curva solidi patientis ab omnibus potentiis patietur, ae-
quivalebit pressioni, qua ureeretur basis solidi patientis CBD juxta di-
rectionem basi perpendicularem ab per centrum gravitatis d solidi
2C