Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Page concordance

< >
Scan Original
251 239
252 240
253 241
254 242
255 243
256 244
257 245
258 246
259 247
260 248
261 249
262 250
263 251
264 252
265 253
266 254
267 255
268 256
269 259
270 258
271 259
272 260
273 261
274 222
275 263
276 264
277 265
278 266
279 267
280 268
< >
page |< < (259) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div512" type="section" level="3" n="7">
              <div xml:id="echoid-div512" type="letter" level="4" n="1">
                <p>
                  <s xml:id="echoid-s3252" xml:space="preserve">
                    <pb o="259" rhead="EPISTOL AE." n="271" file="0271" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0271"/>
                  reducere putat, nullo fundamento nititur, quia non eſt ſemper dicendum, quod
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  to velocior ſit quædam pila, tanto rectius moueatur, quia ei dici poſſet, vſque ad cer
                    <lb/>
                  tum quendam terminum velocitatis, per tantum ſpatij eam aptam eſſe, vt recta per
                    <lb/>
                  fectè moueatur, ſed ſi velocius iret, non tamen futurum, vt per idem ſpatium re-
                    <lb/>
                  ctius moueretur, ſed quod per longius ſpatium recta motum perageret, & ſic nihil
                    <lb/>
                  haberet quod replicaret, præter quam quod ipſe ſupponit id quod in 18. quæſito
                    <lb/>
                  negat, in quo ait pilam uicinam orificio, non adeo uelocem eſſe, quam cum aliquan-
                    <lb/>
                  tulum ab eodem eſt rem ota, ratione reſiſtentiæ ſui cyllindriaerei. </s>
                  <s xml:id="echoid-s3253" xml:space="preserve">Sed quod pila,
                    <lb/>
                  recta eat quanto altior, aut depreſſior
                    <reg norm="bombarda" type="context">bõbarda</reg>
                  erit,
                    <reg norm="ion" type="context">iõ</reg>
                  fit, quia linea inclinationis na
                    <lb/>
                  turalis cum linea inclinationis uiolentæ angulum rectum non facit, </s>
                  <s xml:id="echoid-s3254" xml:space="preserve">unde quanto lon
                    <lb/>
                  gius diſtat à recto huiuſmodi
                    <reg norm="angulus" type="simple">angulꝰ</reg>
                  , ſiue ſit acutus ſiue obtuſus, tanto minorem uim
                    <lb/>
                  habet, eodem planè ferè modo quem tertio capite mei tractatus de rebus mechani
                    <lb/>
                  cis deſcripſi. </s>
                  <s xml:id="echoid-s3255" xml:space="preserve">Quia in ictibus eleuatis, iter inclinationis violentæ ipſius pilæ verſus
                    <lb/>
                  terminum ad quem, incipiendo à loco ipſius pilæ cum itinere inclinationis natura-
                    <lb/>
                  lis, angulum obtuſum, & in ictibus inclinatis acutum conſtituit. </s>
                  <s xml:id="echoid-s3256" xml:space="preserve">Neque etiam hic
                    <lb/>
                  prætermittam notatu dignum errorem, quem Tartalea eodem loco committit,
                    <reg norm="cum" type="context">cũ</reg>
                    <lb/>
                  putet indifferenter aliquod corpus impellere, aut percutere maiori
                    <reg norm="cum" type="context">cũ</reg>
                  impetu cum
                    <lb/>
                  eſt in itinere recto. </s>
                  <s xml:id="echoid-s3257" xml:space="preserve">Quia ſequeretur quod aliquod corpus graue perpendiculari-
                    <lb/>
                  ter ſurſum verſus proiectum, in qualibet parte ſui itineris, ſemper fortius percute-
                    <lb/>
                  ret, quam in qualibet parte itineris alterius cuiuſuis eleuationis obliquæ, quod
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  ſit falſum, tibi conſiderandum relinquo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3258" xml:space="preserve">Eſt etiam falſa ea ratio, quam in quarto quæſito idem adducit, quia aer in motu
                    <lb/>
                  non tantum durat, quantum ipſe putat, imò huiuſmodi violenta agitatio, citò ceſſat
                    <lb/>
                  & citius etiam, quam ſi extra aliquam bombardam cum tanta violentia impulliſſet
                    <lb/>
                  ſaceum plumis plenum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3259" xml:space="preserve">Ratio etiam quam in .18. quæſito de eo, quod pila pertran ſeat illud corpus cyllin
                    <lb/>
                  dricum aereum adducit, eſt planè vana, quia ſtatim aer, qui prius in
                    <reg norm="bombarda" type="context">bõbarda</reg>
                  erat
                    <lb/>
                  incluſus, extra ipſam
                    <reg norm="erumpit" type="context">erũpit</reg>
                  , cedit, à
                    <reg norm="pilaque" type="simple">pilaq́;</reg>
                  diuiditur, vt ſi nunquam eam figuram in-
                    <lb/>
                  duiſſet, neque aer ambiens ei reſiſtit. </s>
                  <s xml:id="echoid-s3260" xml:space="preserve">Sed quod velocior ſit in certa quadam diſtan
                    <lb/>
                  tia, quam in principio erat, ſi hoc
                    <reg norm="verum" type="context">verũ</reg>
                  eſſet, ab alia cauſa dependeret, quæ partim ſi
                    <lb/>
                  milis eſſet ei, quæ efficit, vt corpora in motibus naturalibus, cum longius diſtant à ter
                    <lb/>
                  mino vnde naturaliter ſeſe mouerunt, ſint velociora, quia per aliquod ſpatium hu-
                    <lb/>
                  iuſmodi corpus moueretur quemadmodum motu naturali cietur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3261" xml:space="preserve">Ratio autem eius quare pila, aut globus bombardæ ſibiletab eodem in ſeptimo
                    <lb/>
                  quæſito nil valet, quia hoc fit cum pila aliquam paruam concauitatem habet.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3262" xml:space="preserve">In .27. autem quæſito ait, quod retrotrahendo ſignum, ictus altius tenderet, quod
                    <lb/>
                  poteſt etiam eſſe falſum, cum hocnon ſit neceſſarium, quia pila dum deſcendit, for-
                    <lb/>
                  taſſe tangeret ſcopum.</s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum