Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Axioma
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3.
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Quò minus ſpatium decurritur dato tempore minor, & tardior eſt motus
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;
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hoc etiam conſtat ex eadem dem. </
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Axioma
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4.
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Maiore tempore potentia applicata ſi ſemper agit, plus agit.
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<
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Axioma
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5.
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Pondus alteri æquale illud mouere tantum non poteſt motu æquali
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; </
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enim pondus A mouebit B potiùs quàm B. A: quod certum eſt. </
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<
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Axioma
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6.
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Pondus alteri æquale mouere poteſt illud motu minore
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; </
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<
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mouere tantùm non poſſit, & cùm poſſit faciliùs minore, quàm maiore;
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certè minore mouere poteſt. </
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<
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Axioma
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7.
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Pondus minus poteſt mouere maius motu minore, ſi maior ſit proportio mo
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tuum, quàm ponderum,
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v.g. pondus duarum librarum quod mouetur
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motu vt 3.poteſt mouere pondus 4.librarum motu vt 1.vt patet ex dictis. </
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Axioma
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8.
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Eò faciliùs mouetur pondus per inclinatam, quàm per ipſum perpendicu
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lum, quò inclinata maior eſt perpendiculo
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; vt patet ex ijs, quæ dicta ſunt l.5.
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de planis inclinatis. </
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Axioma
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9.
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<
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Pondus maius mouet tantùm minus motu maiore, cum eſt maior proportio
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ponderum quàm motuum,
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vt patet. </
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Problema vniuerſaliſſimum.
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<
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<
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Mouere quodcumque pondus à qualibet applicata potentia moueatur motu
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minore, ita vt ſit maior proportio motuum, quàm ponderum,
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per Ax. 7. </
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Coroll. vniuerſaliſſimum.
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<
s
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">Hinc colligo, in eo tantùm poſitam eſſe induſtriam, qua poſſint
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pondera moueri, vt minore, & minore motu moueantur; igitur, qua
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proportione imminues motum, eâdem maius pondus mouebis. </
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<
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Theorema
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1.
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<
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<
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Æqualia pondera æquali vtrimque brachio libræ appenſa ſunt in æquilibrio
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per Ax.5. </
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Theorema
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2.
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In æqualia pondera inæquali brachio librata faciunt æquilibrium ſi ſit ea
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dem proportio brachiorum quæ ponderum permutando
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; </
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<
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">quia eſt eadem pro
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portio motuum, quæ brachiorum, vt patet; igitur ſunt in æquilibrio nec
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enim minus pondus attolli poteſt à maiori per Ax.9.nec maius à mino
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re per Ax.7. igitur ſunt in æquilibrio. </
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