Bernoulli, Daniel - Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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194180HYDRODYNAMICÆ

Scholium 2.

§. 25. Omnia ſimiliter ſe habent ſi corpus non verticaliter, ſed ſu-
per plano utcunque inclinato, aut etiam curva qualicunque elevetur, ſem-
per enim tota potentia abſoluta erit æqualis A (a + b), id eſt, producto ex
pondere in altitudinem elevationis auctam altitudine velocitati corporis in
ſummitate reſiduæ debita, cujus rei demonſtratione ſuperſedeo, quod pa-
rum differt à præcedente demonſtratione.

Scholium Generale.

§. 26. Quia omnium machinarum utcunque compoſitarum effectus
reduci poſſunt ad naturam plani inclinati, perſpicuum eſt omnes machi-
nas, ſi à frictionibus iisque potentiarum abſolutarum diſpendiis, quæ hactenus
recenſuimus, animum removeamus eodem recidere, quia potentia abſoluta ſim-
pliciter pendet ab altitudine ad quam corpus eſt elevandum ejusdemque pon-
dere. Habet hoc commune potentia abſoluta cum vi viva ſeu cum aſcenſu de-
ſcenſuve actuali. Isque ultimus eſt perfectionis machinarum gradus, quem
transgredi non licet, imo nec attingere quidem, ſemper enim remotis om-
nibus frictionibus diſpendiisque, potuiſſet eadem potentia abſoluta majus pon-
dus ad eandem altitudinem elevari. Ut jam comparatio inſtitui poſſit quæ-
dam circa machinarum defectum, tam illarum quæ aquas ad deſideratam
altitudinem veluti projiciunt, quam quæ easdem transportant, nunc ha-
rum poſteriorum defectus maxime notabiles quoque indicabimus.

(I.) Frictiones tanto obſtaculo ſunt in plerisque hujusmodi machinis,
ut ſolæ maximam potentiæ partem abſorbeant, præſertim autem cum aſſerculi
quadrati aut globi ovales, catena in circulum redeunte connexi, per cana-
lem, cui ſunt accommodati, transeuntis aquas elevant.

(II.) Pleræque machinæ, præſertim vero rurſus quas modo indicavi-
mus, roſariorum nomine deſignari ſolitæ ita ſunt comparatæ, ut aqua dum
elevatur continue pars ejus deſtillet, ſive plane decidat in locum ex quo
hauſta fuit ſive ſaltem ex loco ſuperiori in inferiorem, uti in roſariis; ſi in
his globuli aut aſſerculi canali ſunt bene adaptati frictio fit fere inſuperabi-
lis, ſin minus maxima aquæ quantitas per hiatus relictos deſtillat, ex

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Scan	Original
101	87
102	88
103	89
104
105	91
106	92
107	93
108	94
109	95
110	96
111	97
112	98
113	99
114	100
115	101
116	102
117	103
118	104
119	105
120	106
121	107
122	108
123	109
124	110
125	111
126	112
127	113
128	114
129	115
130	116

Scan	Original
101	87
102	88
103	89
104
105	91
106	92
107	93
108	94
109	95
110	96
111	97
112	98
113	99
114	100
115	101
116	102
117	103
118	104
119	105
120	106
121	107
122	108
123	109
124	110
125	111
126	112
127	113
128	114
129	115
130	116