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
211 199
212 200
213 201
214 202
215 203
216 204
217 205
218 206
219 207
220 208
221 209
222 210
223 211
224 212
225 213
226 214
227 215
228 216
229 217
230 218
231 219
232 220
233 221
234 222
235 223
236 224
237 225
238 226
239 227
240 228
< >
page |< < (220) 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-div483" type="section" level="3" n="3">
              <div xml:id="echoid-div488" type="letter" level="4" n="3">
                <pb o="220" rhead="IO. BAPT. BENED." n="232" file="0232" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0232"/>
                <p>
                  <s xml:id="echoid-s2744" xml:space="preserve">Volo primum vt mediante
                    <reg norm="circunuolutione" type="context">circũuolutione</reg>
                  globi circa primos polos
                    <var>.f.g.</var>
                  & æqua
                    <lb/>
                  toris circa ſecundos
                    <var>.h.K.</var>
                  hoc eſt per longitudinem, & latitudinem, hi duo loci in
                    <lb/>
                  globo propoſiti ſub azimut
                    <var>.r.n.s.m.</var>
                  ſecundorum circulorum
                    <reg norm="ſitum" type="context">ſitũ</reg>
                  ſortiantur, qui azi-
                    <lb/>
                  mut orizontem in punctis
                    <var>.q.</var>
                  et
                    <var>.p.</var>
                  ſemper ad angulos rectos diſpeſcit
                    <reg norm="ibique" type="simple">ibiq;</reg>
                  globum
                    <lb/>
                  ita quieſcere vt circa polos
                    <var>.f.g.</var>
                  non voluatur, & æquatorem etiam ſic ſirmare, vt cir-
                    <lb/>
                  ca ſecundos polos
                    <var>.h.K.</var>
                  non vertatur faciamus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2745" xml:space="preserve">Quod cum factum fuerit, ſecundorum circulorum primus, qui eſt
                    <var>.n.i.m.</var>
                  deferens
                    <lb/>
                  azimut, circa tertios polos
                    <var>.i.</var>
                  & eius oppoſitum, eo uſque voluatur quouſque prior
                    <lb/>
                  globi locus, ideſt is a quo iter eſt incohandum per .90. gradus azimut diſtet ab ori-
                    <lb/>
                  zonte, ideſt ſub zenit orizontis
                    <var>.q.i.p.</var>
                  ſit poſitus, quemadmodum, exempli gratia, ſi
                    <lb/>
                  punctum
                    <var>.a.</var>
                  dicti primi loci globi rationem indueret, & borealius eſſet, mediante
                    <lb/>
                  circunuolutione circuli
                    <var>.n.i.m.</var>
                  circa dictos tertios polos æqualiter diſtans ab
                    <var>.q.</var>
                  et
                    <var>.p.</var>
                    <lb/>
                  ideſt per .90. gradus poneretur ſub
                    <var>.r</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s2746" xml:space="preserve">Conſideretur deinde vbi æquator
                    <var>.h.e.K.</var>
                  ſecundus circulus duorum primorum,
                    <lb/>
                  ab orizonte
                    <var>.q.i.p.</var>
                  ſecabitur, exempli gratia, in puncto
                    <var>.c.</var>
                  quartę orientalis ſepten-
                    <lb/>
                  trionalis eiuſdem orizontis. </s>
                  <s xml:id="echoid-s2747" xml:space="preserve">Videatur deinde quot nam gradibus conſtabit ar-
                    <lb/>
                  cus
                    <var>.i.c.</var>
                  & per totidem gradus conſtituatur extremitas ſeptentrionalis lineæ meridia-
                    <lb/>
                  nę pyxidis nauticę, diſtantis à cuſpide ſeptentrionali ipſius lanceolæ orientem ver-
                    <lb/>
                  ſus, mediante nauis circunuolutione. </s>
                  <s xml:id="echoid-s2748" xml:space="preserve">vnde ipſamet nauis in huiuſmodi ſitu azimut,
                    <lb/>
                  qui per duos hos loc
                    <unsure/>
                  os tranſit, dirigetur, eſſiciendo vt eius prora verſus
                    <reg norm="locum" type="context">locũ</reg>
                  ad
                    <reg norm="quem" type="context">quẽ</reg>
                    <lb/>
                  voluerimus tendere dirigatur. </s>
                  <s xml:id="echoid-s2749" xml:space="preserve">Cum verò vela ventis dabimus, tot milliarium
                    <lb/>
                  ſeu leucarum iter conficiemus, quot quarta pars vnius gradus requirit. </s>
                  <s xml:id="echoid-s2750" xml:space="preserve">& dum
                    <lb/>
                  hociter abſoluitur, ille qui pręeſt naui, defferentem azimut
                    <var>.n.i.m.</var>
                  circa ſuos polos
                    <var>.i.</var>
                    <lb/>
                  & eius oppoſitum, ſic circunuoluat, vt interſe ctio azimut
                    <var>.r.n.s.m.</var>
                  cum orizonte
                    <var>.q.i.
                      <lb/>
                    p.</var>
                  diſtet à prima ratione dictæ quartę partis vnius gradus, conſtituendo ſecundum lo
                    <lb/>
                  cum, proximiorem zenit, ratione dictæ quartæ partis gradus azimut. </s>
                  <s xml:id="echoid-s2751" xml:space="preserve">Hiſce ita pera
                    <lb/>
                  ctis, obſeruetur deinde vbiæquator
                    <var>.h.e.K.</var>
                  hac ſecunda vice interſecabit orizontem
                    <lb/>
                    <var>q.i.p.</var>
                  quod quidem interſectionis punctum ſemper appelletur
                    <var>.c.</var>
                  quod dico non am
                    <lb/>
                  plius in eadem diſtantia manſurum, ut prius à puncto
                    <var>.i.</var>
                  ſed aut longius diſtabit, aut
                    <lb/>
                  propius accedet, vt in præſenti exemplo. </s>
                  <s xml:id="echoid-s2752" xml:space="preserve">quemadmodum ex ſe manifeſtum eſt, cú
                    <lb/>
                  poli globi, ideſt ęquatoris ſint extra azimut, vt præſupponitur, quia loci ſunt in diuer
                    <lb/>
                  ſis meridianis.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2753" xml:space="preserve">Pro huiuſmodi autem diſtantiæ ratione denuo dirigatur nauis prout æquator
                    <var>.h.
                      <lb/>
                    e.K.</var>
                  in orizonte
                    <var>.q.i.p.</var>
                  nobis oſtendet, atque hoc modo omnium iter quaſi breuiſſi-
                    <lb/>
                  mum fiet. </s>
                  <s xml:id="echoid-s2754" xml:space="preserve">dico autem, quaſi, quia omnibus modis neceſſariò conficitur iter contor-
                    <lb/>
                  tum & in formam ſerpigineæ lineæ. </s>
                  <s xml:id="echoid-s2755" xml:space="preserve">Applicantes deinde per vices extremitatem
                    <lb/>
                  quartæ appoſitæ (de qua ſuperius mentionem fecimus) ipſi zenit
                    <var>.r.</var>
                  efficientes ut per
                    <lb/>
                  ſitum poli globi pertranſeat, deueniemus in cognitionem altitudinis eiuſdem ab
                    <lb/>
                  orizonte, & per conſequens quantum itineris per latitudinem eiuſdem globi pere-
                    <lb/>
                  gerit. </s>
                  <s xml:id="echoid-s2756" xml:space="preserve">mediante deinde interſectione orizontis
                    <var>.q.i.p.</var>
                  cum æquatore, cognoſcemus
                    <lb/>
                    <reg norm="quantum" type="context">quãtum</reg>
                  itineris per longitudinem eiuſdem globi, in ipſo ęquatore fuerit peractum,.</s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>