Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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dixi in ſagitta emiſſa, projecto diſco, &c. </
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<
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">omnes obſeruare poſſunt ar
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cum aſcenſus maiorem eſſe arcu deſcenſus, quod etiam ſupponunt om
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nes, qui de re tormentaria ſcripſerunt; præſertim Vfanus tract. 3.
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c. 13. </
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Corollarium
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9.
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<
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">Hinc etiam colliges contra Vfanum globum è tormento emiſſum per
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inclinatam ſurſum non ferri primò per lineam rectam, quia mouetur
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motu mixto, qui rectus eſſe non poteſt in hoc caſu per Th.54. </
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Corollarium
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10.
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<
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id
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">Motus mixtus arcus deſcenſus vſque ad centrum terræ durare poſſet
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ſi producerentur tot partes impetus quot ſunt inſtantia illius motus; quia
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cùm ſemper deſtruatur minor impetus, & minor in infinitum, poſt ali
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quod ſpatium deſcenſus tam parùm deſtruitur vſque ad centrum terræ vt
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non adæquet totus ille impetus primam partem primo inſtanti deſtru
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ctam, at tunc linea motus à perpendiculari deorſum diſtingui non
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poteſt. </
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Corollarium
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11.
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<
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">Sed ne Geometriam omninò deſpicere videar, in circulo demonſtro
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proportiones omnes in quibus decreſcit motus violentus per quamlibet
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lineam inclinatam ſurſum, vel deorſum; </
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<
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">ſit ergo circulus ADGQ cen
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tro B; </
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<
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">ſit motus violentus ſurſum BD coniunctus cum naturali BR, ſint
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que ex gr. BR. RQ æquales; </
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>
<
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id
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">haud dubiè linea motus erit BC, quia na
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turalis BR pugnat pro rata per Th.134.l.1. eritque BC ſubdupla BD;
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igitur centro R. ſemidiametro RC deſcribatur circulus CLPS, erit
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æqualis priori, ducanturque ex centro B infinitæ lineæ BE. BF. BK.
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BN, & vt res fit clarior, ſint omnes anguli DBE. EBF. FBG, &c.
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</
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<
s
id
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">æquales ſcilicet grad. 30. & ex punctis E.F.G.K.N.q. </
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<
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">ducantur lineæ
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ad circunferentiam circuli CLPS. parallelæ DP.Dico omnes eſſe æqua
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les DC; </
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<
s
id
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">nam primò FH. GL. KM. QP ſunt æquales, vt patet: </
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<
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id
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">deinde
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CE & QO ſunt æquales; </
s
>
<
s
id
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">igitur EV. OX, quod etiam certum eſt; igi
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tur ſi ſupponatur idem motus violentus æqualis BD per omnes inclina
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tas BE. BF, &c. </
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<
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id
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">coniunctus naturali æquali BR; </
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<
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id
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">primum ſpatium erit
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BC, ſecundum BV, tertium BH, quartum BL, quintum BM, ſextum
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BO
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2
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ſeptimum BP. quod certè mirabile eſt; </
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<
s
id
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">nam ex BE. EV. fit BV per
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Th.5. ſimiliter ex BF. FH. fit BH, ex BG. GL. fit BL; </
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<
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">Bque</
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QP fit BP; iam verò proportiones iſtarum linearum ex Trigo
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nometria facilè intelligi poſſunt. </
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Theorema
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60.
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Iactus per horizontalem, & per verticalem nihil acquirit per ſe in eodem
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plane horizontali, vnde incipit iactus
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; </
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<
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id
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">probatur, quia verticalis iactus per
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<
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abbr
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eãdem
">eandem</
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>
lineam redit; </
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<
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">horizontalis verò ſtatim deſcendit; quia motus </
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