Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tus mendis fædatam, duces ſpongiam vſque ad lineam 22. pag.214. vbi
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legis hæc verba, adde quod præſertim, cùm illam alibi, ſcilicet lib. 8. de
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monſtremus. </
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<
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">Cæterum vnum obſeruabis in Fig. 1.Tab.4. ſi diuidatur BE bifariam
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æqualiter in T ducaturque FTG, fore vt mobile citiùs decurrat BTF
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facto initio motus in B, quam chordam BF: </
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<
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">cum enim FG ſit dupla FT,
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ſit media proportionalis inter GT, GF; haud dubiè quadratum illius erit
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duplum quadr. </
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<
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">TF, & ſubduplum quadr.BF, igitur ſit EG 4.ET 2FT erit
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Rad. </
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20. igitur FG rad. </
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80. igitur media proportionalis (quæ ſit,
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v.g. G
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) rad. </
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40. igitur ſi ſubtrahatur GT, id eſt rad. </
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<
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">q.20. id eſt 4.
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1/2 paulò minùs, ſed plùs quàm 4. 1/3 ex G
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; id eſt ex rad. </
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<
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">q.40. id eſt 6.
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1/3 paulò minùs ſupereſt
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, quæ minor eſt 2. ſed ſi tempore BT, per
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curritur BT, æquali tempore percurretur tripla BT; </
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<
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">igitur tempus quo
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percurritur dupla BE, eſt vt BE; </
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<
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BT
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; </
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<
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eſt minor TE; </
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<
s
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">id eſt 2. igitur breuiore tempore percur
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ritur BTF, quam dupla DE; </
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etiam percurritur BF; </
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">igitur BTF breuiore tempore percurritur quam
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BF; </
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<
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">vt autem ſcias quantum percurritur in perpendiculari, quo tempore
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percurritur BTF, ſit FE 100000. erit FT 111800. igitur G
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151657.
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igitur ſi vt BT 50000. ad BT
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, id eſt ad 89857. ita BT
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ad aliam, hæc
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erit 161485. hoc ſpatium decurretur in perpendiculari, vides quam ſit
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minor dupla BE, id eſt 200000. Si autem accipis Fig.1. Tab.3. BZE ſit
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GP 100000.GZ 42265.ſit etiam vt EZ ad EY ita EY ad CB; GZ erit
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87757. igitur acquiretur in perpendiculari 182253.eo tempore quo per
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curretur GZB, facto initio motus à G, ſed hæc eſt minor dupla GP, id
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eſt 200000. accedit tamen propiùs quam ſuperior, igitur longiore tem
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pore decurit duas GZB huius figuræ quam duas BTF ſuperioris fig. </
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">Denique in Fig. 32. Tab. 3.ſit BY ita vt angulus BYA ſit grad.15.ſitque
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v.g. vt YZ, ad YL, ita YL ad YB; </
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">iuxta canonem ſinuum BY erit 386370.
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YL 330171. ZL 47739. EZ 73205. ELZ 120944. igitur acquiretur in
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perpendiculari 199814. quo tempore decurretur EZB; vides quàm pro
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ximè accedat ad duplam EM id eſt ad 200000. </
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">Denique ſi percurrat EMB, ſcilicet EM motu accelerato, tum MB
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æquabili; </
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">certè MB percurret ſubduplo tempore illius, quo percurrit E
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M, vt conſtat; igitur ſit EM tempus quo percurrit EM v. g. 2.percurret
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EMB tempore EMS ſcilicet 3. ſed ſi percurrat EM tempore EM, du
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plam decurrit tempore EB, ſed EB eſt minor EMS, eſt enim rad. </
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8. igitur EB decurritur citiùs quàm EMB, ſed de his ſatis.
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ERRATA.
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Pag.
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10.
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lin. 4
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magnete.
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p.13 l.vlt.
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non decreſcit
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p.
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17.
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Th.
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10.
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l.
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2. non exigeret.
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p.
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20.
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l .ult.
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in ſe ipſo.
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p.21.t.26.l.2.
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non poteſt.
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p.
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24.
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t.
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32.
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l.
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5. duabus.
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p.
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25.
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t.
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33.
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l.
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15.tertiò
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probatur.
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Caſtiga ibidem multas interpunctiones p.
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28.
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l.
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1. maioris.
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p .
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31
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l.
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3. Ax. 12.
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l.
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8 primo
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l.9. ſecundo l.35.
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cum tu.
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p.
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33.
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l.
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1. motus.
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p.
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35. min 5s.
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t.
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51.& 52. fig.2.
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t.
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55.
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l.
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2. immobilis A.
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p.
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36. fig.2.
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p.
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49.
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t.
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86.
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l.
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3.lib.2.
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p.
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54.
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l.
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1. Th. 81.
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p.
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25.
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l.
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17. in EL. </
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