Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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Theorema
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90.
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Globus deſcendens B per conuexum arcum LVA in quo A eſt centrum
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terræ aſcenderet denuò per quadrantem oppoſitum AFS
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; </
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<
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id
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">patet, quia totus
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impetus non deſtrueretur in centro A, qui ſcilicet eſſet intenſior pro
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pter accelerationem deſcenſus, quàm vt in momento deſtruatur; quod
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probatur ex aliis funependulis, & reflexis. </
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Theorema
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91.
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Non aſcenderet per totum arcum AFS
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; </
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<
s
id
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">hoc Theorema probabitur cum
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de motu funependuli, eſt enim eadem pro vtroque ratio; quæ in eo po
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ſita eſt, quòd in aſcenſu aliquid impetus deſtruatur. </
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Theorema
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92.
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Velociùs deſcenderet per arcum maiorem LVA quam per minorem XA; </
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velociùs, inquam, pro rata
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; </
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<
s
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">nam arcum XA citiùs percurreret; </
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<
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">ratio eſt,
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quia modicus XA eſt magis curuus, vt patet; </
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<
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">igitur determinatio
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nis mutatio maior eſt: adde quod maior arcus accedit propiùs ad
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rectam. </
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Theorema
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93.
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Non modo per quadrantem circuli deſcendere poteſt in centrum terræ, ſed
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etiam per ſemicirculum
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; </
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<
s
id
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">vt videre eſt in eadem figura, nam ſi globus ſta
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tueretur iuxta Quantulùm, ſcilicet, extra perpendiculum AQ dextror
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ſum, v.g. versùs P; </
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<
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id
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">certè deſcenderet vſque ad A per conuexum ſemicir
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culi QLA; per conuexum, inquam, non per concauum, vt dictum eſt
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de quadrante LVA. </
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<
s
id
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">Ratio eſt, quia accederet ſemper propiùs ad cen
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trum A; </
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<
s
id
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">igitur eſſet planum inclinatum per Th. 2. igitur per illud de
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ſcenderet, nec vlla eſſet difficultas; </
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<
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">quod autem accedat ſemper propiùs
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ad A per ſemicirculum QLA, certum eſt; </
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<
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">quia PA minor eſt QA; nam
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diameter eſt maxima ſubtenſarum in circulo. </
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<
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id
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">Immò per alium ſemi
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circulum ASQ aſcenderet denuóque deſcenderet repetitis pluribus vi
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brationibus; nunquam tamen aſcenderet vſque ad punctum Q propter
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tamdem rationem, quam in Theoremate 92. adduximus. </
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<
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">Obſeruabis præterea non tantùm corpus graue poſſe deſcendere per
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ſemicirculum, qui ſecet centrum mundi A, ſed etiam per plures alios. </
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v.g. per ſemicirculum ROB, quia ſcilicet ab R verſus BO & ab O
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verſus B ſemper deſcendit, aſcenditque propiùs ad A, cùm nulla linea in
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ter AOB duci poſſit ad punctum A, quæ non ſit maior BA, vt
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conſtat. </
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<
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">Vt autem habeas iſtos circulos; accipe centrum ſuprà A verſus K, mo
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do radius ſeu ſemidiameter deſcendat infrà A. v.g. IB vel KB, &c. </
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Theorema
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94.
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Hinc poteſt aliquis dimidium globum terreſtrem percurrere, licèt ſemper
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deſcendat
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; </
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<
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">vtſi conficiat ſemicirculum ROB, & licet ſemper aſcendat, </
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