Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
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192
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026/01/224.jpg
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tangens eſt mixta ex inclinata deorſum ex horizontali verſus Boream,
<
lb
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ſit enim AC verſus Boream, AB verſus Ortum, AD inclinata deor
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ſum ſub horizontali AB, AG quæ eſt in eodem plano cum AD DG,
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mixta ex AD, & AC; </
s
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<
s
id
="
N1C7B8
">aſſumatur EF æqualis ſpatio, quod conficitur
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motu naturali eo tempore, quo conficitur AE, & GH æqualis ſpatio,
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quod conficitur motu naturali eo tempore, quo percurritur AG; </
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<
s
id
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N1C7C0
">duca
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tur curua AFH, cuius ſitus vt habeatur ſit AB verſus Ortum, ex qua
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pendeat perpendiculariter deorſum triangulum ABH, tùm circa axem
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AD voluatur triangulum ADH, donec HD ſit parallela horizonti; </
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>
<
s
id
="
N1C7CA
">tùm
<
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circa axem AG voluatur triangulum AGH, dum GH ſit perpendicu
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laris deorſum, tunc enim linea motus AFH habebit proprium ſitum;
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idem fiet ſi proiiciatur per inclinatam deorſum verſus Occaſum. </
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<
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Theorema
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109.
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emph
type
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italics
"/>
Si proijciatur per inclinatam ſurſum, & declinantem ad Ortum, linea mo
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lb
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tus erit Parabola, cuius amplitudo erit mixta ex declinante horizontali, &
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horizontali verſus Boream,
<
emph.end
type
="
italics
"/>
ſit enim horizontalis verſus Boream AK,
<
lb
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horizontalis verſus Ortum AR, declinans à Borea in Ortum AD, mixta
<
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ex AD, AK ſit AI, ſitque Rhomboides AE parallelus horizonti; </
s
>
<
s
id
="
N1C7F6
">ſit
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lb
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EG perpendicularis ſurſum, ſit HD parallela GE; differentia ſpatij,
<
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quod acquiritur motu naturali eo tempore, quo percurritur AI, & FC,
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quæ ſit ſubdupla EG. </
s
>
<
s
id
="
N1C800
">Dico lineam motus AHF eſſe parabolicam, quæ
<
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omnia conſtant ex dictis; </
s
>
<
s
id
="
N1C806
">idemque dictum eſto de omni alia inclinata
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ſurſum ſimul, & declinante, ſeu verſus Ortum ſeu verſus Occaſum; </
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>
<
s
id
="
N1C80C
">porrò
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lb
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triangulum AEG incubat
<
expan
abbr
="
perpẽdiculariter
">perpendiculariter</
expan
>
plano horizontali ADEK; </
s
>
<
s
id
="
N1C816
">
<
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ſi verò proiiciatur per inclinatam deorſum voluatur AKE, dum KO
<
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ſit perpendicularis deorſum; </
s
>
<
s
id
="
N1C81D
">ſit planum RK horizontale, voluatur
<
lb
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AKE circa A, ita vt KO ſit ſemper perpendicularis deorſum, donec
<
lb
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AE ſecet planum RK in AD ſint IO. & EA vt EF, GH in ſuperio
<
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re figura, & per puncta AOM ducatur curua; hæc eſt linea motus
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quæſita. </
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type
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Theorema
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110.
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type
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"/>
Si proiiciatur per declinantem ab Austro ad Ortum & inclinatam ſurſum,
<
lb
/>
deſcribet Parabolam, cuius amplitudo erit mixta ex horizontali verſus Bo
<
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ream & declinante horizontali ab Auſtro ad Ortum
<
emph.end
type
="
italics
"/>
ſit AF horizontalis
<
lb
/>
verſus Boream, AG verſus Ortum, AI declinans ab Auſtro ad Ortum,
<
lb
/>
AG mixta ex AF AI AL inclinata, ANK Parabola; </
s
>
<
s
id
="
N1C84A
">ſit enim planum
<
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FI horizontale cui triangulum ALI incubet perpendiculariter in ſe
<
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/>
ctione AG, reliqua ſunt facilia; </
s
>
<
s
id
="
N1C852
">idem dico de inclinata ſurſum ſimul, &
<
lb
/>
declinante ab Auſtro ad Occaſum; </
s
>
<
s
id
="
N1C858
">ſi verò ſit inclinata deorſum, ſit pla
<
lb
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num ACB horizontale, AB ſit declinans, AC ſit mixta ex AB & ho
<
lb
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rizontali verſus Boream AF; ſit AD inclinata deorſum, fiatque cur
<
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ua AQE more ſolito, ita vt triangulum ACE perpendiculariter
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deorſum pendeat ex plano horizontali ACB, reliqua ſunt facilia. </
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