Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tur orthogonium POB; denique aſſumatur OR 1/4 totius OB, R erit
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centrum percuſſionis trianguli ACB per Th. 11. </
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Corollarium.
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<
s
id
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">Hinc colligo quid dicendum ſit de rectangulo ita rotato, vt diagona
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lis cadat perpendiculariter in axem, circa quem rotatur; </
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<
s
id
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">ſit enim re
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ctangulum CF, cuius diagonalis AIA, axis circa quem voluitur BR, in
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ueniantur centra percuſſionis vtriuſque trianguli ſeorſim AFH, ACH,
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rotati circa axem BR per Th. 16. connectantur rectâ, in hac erit cen
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trum percuſſionis totius rectanguli; </
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<
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id
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">cù diſtantiæ à centro communi
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ſint vt pyramides permutando per p.7. vt conſtat ex dictis; ex quibus
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etiam ſatis intelligetur quid de alijs planis, tùm regularibus, tùm irre
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gularibus dicendum ſit, cù ſcilicet poſſint in triangula diuidi. </
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Theorema
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17.
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Si voluatur triangulare planum parallelum circulo, in quo voluitur, deter
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minari poteſt eius centrum percuſſionis
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; </
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<
s
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">ſit enim triangulum AFH, quod
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ita voluatur, vt extremitas H deſcribat arcum HS, & F arcum FR; </
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<
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">certè
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F mouetur velociùs quàm H iuxta rationem AF ad AH; </
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<
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id
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">ſit ergo FM æ
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qualis FA, & HN æqualis HA; </
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<
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id
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">ducatur MN, erigatur Trapezus FN,
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donec incubet plano AFH, & cenſeantur ductæ ab A rectæ ad puncta
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MN erecta; </
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<
s
id
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">habebitur pyramis; </
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<
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">ſit autem centrum grauitatis L, Trapezij
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FN, ſitque LG perpendicularis in FH, ducatur AG, aſſumaturque DG
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1/4 AG; </
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>
<
s
id
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">haud dubiè D eſt centrum grauitatis huius; </
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<
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">ſit linea directionis
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DC; </
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<
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">quippe punctum D mouetur per Tangentem: </
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">quod etiam de alijs
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punctis dictum eſto; </
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<
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id
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">eſt enim hæc ratio motus circularis; igitur maximus
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ictus erit in C per p. </
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<
s
id
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">8. igitur C eſt centrum percuſſionis. </
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Corollarium
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1.
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<
s
id
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">Collige perinde ſe habere motum puncti F, atque ſi ipſi incumberet
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linea FM, & puncto H, HN. </
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Corollarium
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2.
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<
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id
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">Præterea centrum percuſſionis aliquando eſſe extra rectam AH, cum
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ſcilicet angulus circa, quem voluitur eſt minùs acutus, ſit enim trian
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gulum AGL quod voluatur circa A, ſitque centrum grauitatis Trapezij
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E, de quo ſuprà; </
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<
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id
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ctionis BI; vides I eſſe extra AL. </
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Corollarium
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3.
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<
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">ſit enim tri
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angulum ABD; </
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<
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">ducatur HBG æqualis BA, perpendicularis in BD; </
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diuidatur AD bifariam æqualiter in L; </
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rùm ducantur HL, GE; </
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<
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id
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">inueniatur centrum grauitatis C, Trapezij H
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LEG; </
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<
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id
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">ducatur AC, cuius KC ſit 1/4 ducatur KD perpendicularis in
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AC, punctum D eſt centrum percuſſionis; </
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>
<
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id
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HE, circa axem BD, donec AD cadat in illum perpendiculariter, ſit-</
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