Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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petus productus in Z eſt æqualis producto in B, cum B pertinet ad ma
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iorem vectem; </
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ZC: igitur decreſcit perfectio versùs centrum iuxta rationem longi
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tudinum. </
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Theorema
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110.
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Minima potentia est illa, quæ in extremitate vectis, quæ procul recedit à
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centro, vnam tantùm partem, vel vnum punctum impetus producit
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; nihil
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enim minùs produci poteſt, poſito quod potentia applicata ad talem gra
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dum perfectionis ſit determinata, id eſt ad producendum impetum talis
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perfectionis in ea parte ſubjecti, cui applicatur immediatè, vt ſuprà di
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ctum eſt. </
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Theorema
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111.
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Si ſint tantum duo puncta vel duæ partes vectis, illa potentia ad illum mo
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uendum ſufficiens motu circulari est ad aliam ſufficientem ad illum mouen
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dum motu recto, vt
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1/2
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ad
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2. ſi ſint tria puncta vt 2. ad 3. ſi 4. vt 2. 1/2 ad 4.
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ſi 5. vt 3. ad 5. ſi 6. vt 3. 1/2 ad 6. atque ita deinceps iuxta hanc propor
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tionem in quo non eſt difficultas, cum hoc totum ſequatur ex Th. 109. </
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Scholium.
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<
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">Obſerua tamen quacumque data potentia poſſe dari minorem; </
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quocumque dato motu, etiam recto, poteſt dari tardior; </
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que impetu imperfectior; </
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<
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">igitur quando appellaui potentiam minimam; </
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intellige illam quæ comparatur cum vnico puncto impetus talis perfe
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ctionis; hæc enim reuera minima eſt illarum omnium, quæ poſſunt pro
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ducere impetum talis perfectionis, ſi verò comparetur cum impetu im
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perfectiore, haud dubiè minima non eſt. </
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<
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">Obſerua præterea ſuppoſitum eſſe hactenus in extremitate vectis ſiue
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maioris, ſiue minoris, produci impetum eiuſdem perfectionis, eiuſque
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vnicum punctum, ſeu partem, vnde potentia quæ applicatur maiori vecti
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conuenit quidem cum ea, quæ applicatur minori in eo, quòd vtraque in
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extremitate ſui vectis producat vnum punctum impetus eiuſdem perfe
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ctionis; differt tamen in eo, quòd illa, quæ applicatur maiori vecti, ſit
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maior iuxta rationes prædictas in Theoremate. </
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<
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vecti. </
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ſcu partium, vt 1. 1/2 ad 2. & ſi vectis ſit 4. punctorum ad 2. 1/2; </
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ſi 6. ad 3. 1/2; </
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<
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">ſi 7. ad 4. ſi 8. ad 4. 1/2. Vides egregiam progreſſionem; </
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enim vectis 2. punctorum AB, in puncto A, quod eſt extremitas, produ
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catur punctum impetus datæ perfectionis, in B producetur aliud, cuius
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perfectio eſt ſubdupla prioris per Th. 109. igitur caracter, ſeu momen
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tum totius impetus eſt 1. 1/2. ſit porrò vectis 4. punctorum CDEF, in
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C, quod eſt extremitas; </
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<
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perfectionis cum eo, quod productum eſt in A; </
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<
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aliud cuius perfectio erit ad priorem vt 3.ad 4. per idem Th. ſic autem
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notetur 1/4, in E 2/4, in F 3/4, in C vero 4/4; </
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