Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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applicata, & non impedita non agit; </
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<
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">at verò agit impedita; </
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<
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impetus qui tantùm agit, vt tollat impedimentum; igitur, ſi non
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impediatur non agit. </
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Theorema
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49.
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Quo minùs impeditur impetus, minùs agit ad extra, & contrà; quo plùs
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impeditur, plùs agit.
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<
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"> Cum enim ideò agat ad extra, vt tollat impedi
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mentum; </
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<
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id
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">certè ſi nullum eſt, nihil agit, ſi minùs, minùs agit; igitur
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agit pro rata, id eſt, pro diuerſa impedimenti ratione. </
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Theorema
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50.
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Si linea motus, quam directionis appellant, ducatur per centrum vtriuſque
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corporis, maximum est impedimentum,
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vt patet. </
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<
s
id
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N1351E
">ſint enim duo globi,
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A mobilis, & B. occurrens ipſi A, ſitque linea directionis DE ducta
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per centrum vtriuſque AB, & punctum contactus ſit C; </
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<
s
id
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N13526
">certè glo
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bus B maximum ponit impedimentum, quod ab eo poni poſſit; </
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<
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">Igitur
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impetus globi A agit quantùm poteſt in globum B; vt ſcilicet maxi
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mum impedimentum remoueat. </
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<
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<
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Theorema
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51.
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Si linea motus vel ipſius parallela cadat perpendiculariter in extremam
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diametrum globi immobilis: </
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>
<
s
id
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N1354C
">haud dubiè nihil impedit
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; </
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>
<
s
id
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N13553
">ſit enim globus
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mobilis A, Immobilis B, linea directionis ſit GA, ipſi parallela FC; </
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>
<
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id
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">
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certè globus B. non impedit motum globi A. cum nihil loci globi B
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occupari debeat à globo A; Igitur impetus A non agit in globum B per
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Th. 48. </
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Theorema
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52.
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Si linea motus ſit inter vtramque; </
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>
<
s
id
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">est minus impedimentum.
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emph.end
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ſit globus
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immobilis BA; </
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>
<
s
id
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">ſit linea motus GC cum impedimento, de qua in Th. 50.
<
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ſit alia KB cum nullo impedimento, de qua in Th. 51. ſint aliæ HD,
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IE; </
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<
s
id
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">certè minus eſt impedimentum in contactu D, quàm in C; </
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>
<
s
id
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">quia ca
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dit obliquè in D, perinde atque ſi caderet in tangentem NO; Igitur
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minus impeditur; in qua vero proportione, dicemus aliàs, cum de re
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flexione, & de motu mixto. </
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Theorema
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53.
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Hinc producitur in contactu
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C,
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totus impetus; </
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>
<
s
id
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">in contactu
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D,
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minùs; </
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<
s
id
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contactu
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E
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adhuc minùs; </
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>
<
s
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">in
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B
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nihil
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; </
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>
<
s
id
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">quia in ea proportione producitur
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plùs vel minùs impetus, quo plùs eſt, vel minùs impedimenti per
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Th. 49. ſed minùs eſt impedimentum in E, quàm in C; </
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>
<
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id
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">& in E, quàm
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in D, per Th. 52; Igitur in D producitur minùs impetus, quàm in C,
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& minùs in E, quàm in D. </
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Theorema
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54.
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Hinc eadem cauſa neceſſaria etiam immediate applicata diuerſum impe
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