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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 169, page id 1066518432:0197
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DE VTRTOVS ET MOTTDOS COREORDH. LLB. II. 169
S C H OL F O H.
3T2. Oura usus propositionis Z AX uni partitamoli problema-
tis circa iloperimetras ab ingeniosistimis Bernoulliis soluti, Patista-
cit. Nlam si ex lingulis ejus punctis D, L, ecc. indetinitxe D0,
ED, _C. 2zi AR Parallelae agantur, e in iis Aat ro = L. G; 1d = l9, eC.
nalcetur curra ZEX, guae cum basi Z. X majus spatium contincbie
quam quaelibet alia curra ex alia iloperimetra Z D AX simili legc
delcripta, ut in Actis L ipl. 17OT. Pa5. 213. ec Comm. ACad. RC8.
Scient. Paril. 1706. d. T7. Apr. ab eximiis Creometris est octentum.
Praeter aequationem dy =pdx: V (bb - pp) Dn. Jac. Bernoullius in-
renit aliam hujus Formae dy = (b - p). dx: V (2bp - pp) dux minimum
continet, et altera maximum. Sed una ex altera nullo negotio eli-
citur, etenim, si in priore dy =pda: V (bb - pp) loco p Ponatur b - p.
seu complementum ejus ad maximam b, orietur altera aequatio, e s
in altero prob -p substituatur p, redibie priOr.
312. Radius circuli curram osculantis in ejus puncto quolibet D,
Seu radius crolutae Dr, est quarta proportionalis ad IO homologam
ordinatam scalae Graritationum ROS, et datas R A et AT. Cujus
rei demonstratio ex nostra constructione Facilis est.
C A P V T V
De Pressionibus Aeris ex Cravitate.
Vae Capitibus l. e II. hujus libri secundi circa pressiones
omnis generis lluidorum generaliter octenta sunt, etiam de
ere in specie intelusenda esse nemo non ridet, quandoquidem
etiam Aet fraris M, atque adeo legibus Auidorum graritate lua
asentium llostes cebel. Propterea superledere particulari deductio-
ne phaenomenorum ex aeris graritate provenientium, camque Cx
superioribus a nobis adductis Lectoris industrix cliciendam relin-
quere potuissemus, nisi arsumenti praestantia ejusmodi deductionem
vendicare sibi rideretur.
312. Lera grarem ene eacia oue cubiu et policum, CuM
experiment a Ml exceptione majora graritatem ejus invincibiliter
adsruanc. Talia experimenta apud Calilxum, Boylium, Marioctum,
Borellum et alios dilucide describuntur, qui proinde contusi postune.
Hluc