Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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BD, CK, ac proinde nauis & mobile ſemper eſſent è regione in linea
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verſus ortum. </
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<
s
id
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">Hinc ſi ex A dirigas
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ſagittã
">ſagittam</
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in H feris punctum K, quam artem probè
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noſſe debent rei tormentariæ præfecti; </
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<
s
id
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N1C6F6
">quippe ſagitta aberrabit à ſcopo
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verſus Boream declinans toto eo ſpatio, quod conficit nauis eodem tem
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pore, quo mouetur ſagitta; ita prorſus ſi moueatur H verſus K, vt attin
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gas ex puncto immobili A debes dirigere ictum in K, ſi quo tempore
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ſagitta conficit AK ſcopus H percurrit HK.Idem prorſus dicendum eſt
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de iaculatione per lineam oppoſitam verſus occaſum. </
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<
s
id
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">Si verò proiiciatur mobile per lineam inter Boream, & Ortum, linea
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motus erit Parabola cuius Tangens erit mixta ex horizontali verſus
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Boream, & declinante verſus Ortum, v. g. ſit horizontalis verſus Boream
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AF, quam hactenus aſſumpſi pro linea directionis; </
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<
s
id
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">ſit linea verſus
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Ortum AC; </
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<
s
id
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">ſit declinans verſus Boream AL; </
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<
s
id
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">ſitque impetus AL, ad
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AE vt AL ad AE, quod hactenus ſuppoſui; </
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<
s
id
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">ſit LG æqualis AE, AG
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eſt mixta ex AE, AL; </
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>
<
s
id
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">aſſumatur KI, & GH vt iam diximus; fiatque
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Parabola AIH, quæ circa axem AE ita voluatur, vt ſit perpendicularis
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plano horizontali LF. </
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type
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<
s
id
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N1C734
">Idem dico de omni alia declinante vel à Borea ad Ortum, vel ad Oc
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caſum. </
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Theorema
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107.
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Si mobile proiiciatur per declinantem ab Austro ad Ortum, cuius impetus
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ſit vt linea; </
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>
<
s
id
="
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">conficit lineam parabolicam, cuius tangens vel amplitudo eſt re
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sta ad Ortum
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emph.end
type
="
italics
"/>
; </
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>
<
s
id
="
N1C75A
">ſit enim NF ad Boream, NA ad Auſtrum, NI ad Or
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tum, ND ad Occaſum; </
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>
<
s
id
="
N1C760
">ſit NL declinans ab auſtro ad Ortum, ſitque im
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petus per NL ad impetum per NF, vt NL ad NF; </
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>
<
s
id
="
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">mixta ex NF NL
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eſt HK; </
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<
s
id
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">ſit autem KH æqualis ſpatio, quod conficitur motu naturali eo
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tempore, quo percurritur NF, ſit KI æqualis NK, & IG quadrupla KH;
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Parabola NHG eſt linea motus quæſita dum voluatur NIG circa axem
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NI, dum IG pendeat perpendicularitur ex plano horizontali ON. </
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<
s
id
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">Idem fiet, ſi proiiciatur per declinantem NB ab Auſtro ſcilicet ad
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Occaſum. </
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type
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Theorema
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emph.end
type
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"/>
108.
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type
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Si mobile proiiciatur per inclinantem ſurſum in circulo verticali, cuius ſe
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ctio cum horizontali tendit ad Ortum, conficit lineam parabolicam, cuius am
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plitudo eſt mixta ex horizontali verſus Boream, & horizontali verſus Ortum,
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type
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ſit linea verſus Boream AB, verſus Ortum AK, mixta ex vtraque AF,
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linea inclinata ſurſum AP, Parabola AMN, quæ vertatur circa A do
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nec incubet AFG, denique AFG circa FA voluatur, donec incubet
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perpendiculariter plano; porrò perinde eſt, ſiue proiiciatur per inclina
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tam ſurſum verſus Ortum, ſiue verſus Occaſum. </
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<
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<
s
id
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">Si verò proiiciatur per inclinatam deorſum verſus Ortum, deſcribit
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lineam, quæ non eſt Parabola, ſed propiùs accedit ad Hyperbolam, cuius </
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