Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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ior, vel minor; eſt æqualis, quando angulus maior Rhombi eſt 120. eſt
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minor cùm angulus minor eſt 60. denique eſt maior, cùm maior angu
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lus eſt minor 120, quæ omnia conſtant ex Geometria. </
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Theorema
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10.
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Si lineæ determinationum decuſſentur ad angulum acutum, & ſint æqua
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les impetus, linea motus mixti erit diagonalis Rhombi
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; quæ certè eò longior
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erit, quò angulus erit acutior per Th. 139. l.1. porrò eſt ſemper maior
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lateribus ſeorſim ſumptis. </
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Scholium.
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<
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">Obſerua in Rhombo eſſe duas diagonales inæquales, vt conſtat; </
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tur cùm lineæ determinationum decuſſantur ad angulum obtuſum, linea
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motus mixti ſemper eſt diagonalis minor; cùm verò decuſſantur ad an
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gulum acutum, ſemper eſt diagonalis maior. </
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Corollarium
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1.
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<
s
id
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">Hinc quò acutior eſt angulus diagonalis accedit propiùs ad duplum
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lateris, donec tandem vtraque linea coëat; tunc enim linea motus eſt du
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pla lateris. </
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Corollarium
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2.
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<
s
id
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">Hinc quoque quò angulus eſt obtuſior diagonalis accedit propiùs ad
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nullam, vt ſic loquar, donec tandem vtraque linea concurrat in rectam,
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tunc enim nulla eſt diagonalis; igitur nulla linea motus. </
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Theorema
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11.
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Cum alter impetuum eſt maior, linea motus eſt diagonalis Rhomboidis, mi
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nor quidem ſi lineæ decuſſentur ad angulum obtuſum; </
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<
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tur ad angulum acutum
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; vt patet ex dictis. </
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12.
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Cum alter impetus in motu mixto est maior, linea motus mixti accedit
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proprius ad lineam maioris; </
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<
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; v.g. in
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eadem figura ſit linea impetus maioris AC, & minoris AD, linea motus
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mixti eſt diagonalis AF, quæ accedit propiùs ad AC, quàm ad AD, id eſt
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facit angulum acutiorem cum AC, vt patet ex dictis. </
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Theorema
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13.
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Cum verò impetus ſunt æquales, linea motus mixti facit angulum æqualem
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cum linea vtriuſque
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; vt AE in eadem figura quod etiam dici debet, licèt
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lineæ determinationum decuſſentur ad angulum obtuſum vel acutum,
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vt AC, EG. IM. </
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14.
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Non creſcit, vel decreſcit in eadem ratione, in quæ vnus impetus ſuperat
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alium
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; </
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<
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id
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">cum enim impetus ſint vt lineæ, ſub quibus fiunt rectangula vel
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Rhomboides; v.g. impetus AC eſt duplus impetus AD, ſed angulus D
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AF non eſt duplus anguli FAC, vt conſtat ex Geometria. </
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