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
301 289
302 290
303 291
304 292
305 293
306 294
307 295
308 296
309 297
310 298
311 299
312 300
313 301
314 302
315 303
316 304
317 305
318 306
319 307
320 308
321 309
322 310
323 311
324 312
325 313
326 314
327 315
328 316
329 317
330 318
< >
page |< < (356) 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-div680" type="section" level="3" n="31">
              <div xml:id="echoid-div683" type="letter" level="4" n="2">
                <pb o="356" rhead="IO. BAPT. BENED." n="368" file="0368" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0368"/>
              </div>
              <div xml:id="echoid-div686" type="letter" level="4" n="3">
                <head xml:id="echoid-head522" style="it" xml:space="preserve">Duplex modus par allelam orizontalem alicui muro propoſito
                  <lb/>
                una tantummodo statione ducendi.</head>
                <head xml:id="echoid-head523" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s4276" xml:space="preserve">DVcere parallelam orizontalem alicui muro recto propoſito vna tantummodò
                    <lb/>
                  ſtatione, non ſolum poſſibile eſt ſed etiam facile.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4277" xml:space="preserve">Sit exempli gratia murus rectus
                    <var>.a.d.</var>
                  ſitus verò
                    <var>.o.n</var>
                  . </s>
                  <s xml:id="echoid-s4278" xml:space="preserve">Si cupimus ducere
                    <var>.n.u.</var>
                    <lb/>
                  parallelam dicto muro, accipiatur quadratum geometricum, ſeu ſcala altimetra
                    <lb/>
                  vel aliquod ſimile inſtrumentum, quo mediante à ſitu
                    <var>.o.</var>
                  videbimus punctum
                    <var>.q.</var>
                    <lb/>
                  quod volueris ipſius muri,
                    <reg norm="dexteram" type="context">dexterã</reg>
                    <lb/>
                  verſus, inferius tamen. ipſo
                    <var>.o.</var>
                  vnde
                    <lb/>
                    <figure xlink:label="fig-0368-01" xlink:href="fig-0368-01a" number="406">
                      <image file="0368-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0368-01"/>
                    </figure>
                  formatum habebimus triangulum
                    <var>.
                      <lb/>
                    n.o.q</var>
                  . </s>
                  <s xml:id="echoid-s4279" xml:space="preserve">Quo facto ad partem
                    <reg norm="ſiniſtram" type="context">ſiniſtrã</reg>
                    <lb/>
                  cum eodem angulo
                    <var>.n.o.q.</var>
                  oporte-
                    <lb/>
                  bit nos inuenire punctum aliquod
                    <var>.
                      <lb/>
                    p.</var>
                  in dicta ſuperficie muri, </s>
                  <s xml:id="echoid-s4280" xml:space="preserve">& tunc
                    <lb/>
                  habebimus angulum
                    <var>.n.o.p.</var>
                  æqua-
                    <lb/>
                  lem angulo
                    <var>.n.o.q.</var>
                  vnde angulus
                    <var>.q.
                      <lb/>
                    n.p.</var>
                  nobis cognitus erit,
                    <reg norm="duoque" type="simple">duoq́;</reg>
                  late
                    <lb/>
                  ra
                    <var>.n.q.</var>
                  et
                    <var>.n.p.</var>
                  erunt inuicem æqua-
                    <lb/>
                  lia, ex .26. primi Euclid. cum angu-
                    <lb/>
                  li
                    <var>.q.o.n.</var>
                  et
                    <var>.q.n.o.</var>
                  ſint æquales angu
                    <lb/>
                  lis
                    <var>.p.o.n.</var>
                  et
                    <var>.p.n.o.</var>
                  & latus
                    <var>.o.n.</var>
                  com
                    <lb/>
                  mune, vnde angulus
                    <var>.q.n.g.</var>
                  extrinſe
                    <lb/>
                  cus trianguli
                    <var>.p.q.n.</var>
                    <reg norm="reſiduusque" type="simple">reſiduusq́;</reg>
                  ex
                    <lb/>
                  duobus rectis nobis cognitus erit,
                    <lb/>
                  etiam & eius medictas
                    <var>.q.n.u.</var>
                  æqua
                    <lb/>
                  lis angulo
                    <var>.p.q.n.</var>
                  eo quod ex .5. pri-
                    <lb/>
                  mi, anguli
                    <var>.q.p.</var>
                  ſunt inuicem æquales, & ex .32. eiuſdem, æquales ſunt extrinſeco
                    <var>.q.n.
                      <lb/>
                    g.</var>
                  & ex 27.
                    <var>n.u.</var>
                  erit parallela ipſi
                    <var>.q.p</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s4281" xml:space="preserve">Aliter etiam poſſumus idem efficere, ſumendo duo illa puncta in ſuprem a linea
                    <lb/>
                  orizontali ipſius muri ad ſuperiorem partem aſpiciendo, quemadmodum ad infe-
                    <lb/>
                  riorem, quod vnum & idem erit, dummodò non aſpiciamus orizontaliter, eo quod
                    <lb/>
                  nos oportet ſuperficiem conicam producere, linea viſuali mediante. </s>
                  <s xml:id="echoid-s4282" xml:space="preserve">cognoſcere au­
                    <lb/>
                  tem angulum
                    <var>.q.n.p.</var>
                  facile erit, conſtituendo primò inſtrumentum in ſitu trianguli
                    <var>.
                      <lb/>
                    o.n.q.</var>
                    <reg norm="aſpiciendoque" type="simple">aſpiciendoq́;</reg>
                  punctum
                    <var>.c.</var>
                  in ſuperficie
                    <var>.n.q.o.</var>
                  & ſic in alia parte, exiſtente in-
                    <lb/>
                  ſtrumento in ſitu trianguli
                    <var>.o.p.n.</var>
                  aſpicere oportet punctum
                    <var>.e.</var>
                  proximum puncto
                    <var>.n.</var>
                    <lb/>
                  vbi poſſit metiri angulum
                    <var>.c.n.e</var>
                  .</s>
                </p>
                <p>
                  <s xml:id="echoid-s4283" xml:space="preserve">Sed ſi ſitus puncti
                    <var>.n.</var>
                  talis eſſet, vt ab eo non poſſet aliquis murum videre ad re-
                    <lb/>
                  ctos angulos, aſpiceremus punctum
                    <var>.q.</var>
                  ſub orizontali ab oculis noſtris, in orizontali
                    <lb/>
                  tamen puncti
                    <var>.n.</var>
                  ita quod angulus
                    <var>.o.n.q.</var>
                  rectus exiſtat, quo facto obſeruando angu-
                    <lb/>
                  lum
                    <var>.n.o.q.</var>
                  eo mediante, medianteq́ue
                    <var>.n.o.</var>
                  cum angulo
                    <var>.o.n.q.</var>
                  cognoſcemus
                    <lb/>
                  quantitatem diſtantiæ
                    <var>.n.q.</var>
                  idem etiam faciendum eſt cum alio puncto
                    <var>.p.</var>
                  quod
                    <lb/>
                  volueris, & mediantibus duobus punctis inuicem proximis
                    <var>.c.e.</var>
                  cognoſcatur an- </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum