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
171 159
172 160
173 161
174 162
175 163
176 164
177 165
178 166
179 167
180 168
181 169
182 170
183 171
184 172
185 173
186 174
187 175
188 176
189 177
190 178
191 179
192 180
193 181
194 182
195 183
196 184
197 185
198 186
199 187
200 188
< >
page |< < (188) 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-div387" type="chapter" level="2" n="4">
            <div xml:id="echoid-div430" type="section" level="3" n="30">
              <p>
                <s xml:id="echoid-s2260" xml:space="preserve">
                  <pb o="188" rhead="IO. BAPT BENED." n="200" file="0200" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0200"/>
                tur continetur calor, & non in motu ipſius ſolis, & ita in lumine ſedem habet, ut fi ſol
                  <lb/>
                quieſceret, neque in orbe ſuo circumager etur, infęliciſſima eſſet ea regio, in cuiu;
                  <lb/>
                </s>
                <s xml:id="echoid-s2261" xml:space="preserve">Zenith ipſe reperiretur.</s>
              </p>
            </div>
            <div xml:id="echoid-div431" type="section" level="3" n="31">
              <head xml:id="echoid-head303" style="it" xml:space="preserve">Vnde caloris ſolis prode at incrementum & state, et byeme
                <lb/>
              decrementum.</head>
              <head xml:id="echoid-head304" xml:space="preserve">CAP. XXXI.</head>
              <p>
                <s xml:id="echoid-s2262" xml:space="preserve">CVm capite ſuperiore oſtenderim calorem ſolis non aliunde, quàm à lumine
                  <lb/>
                prouenire, oſtendam nunc ex ordine, ex quot,
                  <reg norm="quibusque" type="simple">quibusq́;</reg>
                cauſis oriatur magna
                  <lb/>
                differentia eius caloris æſtatis ad hyemem, quarum nonnullæ ab antiquis obſerua-
                  <lb/>
                tæ fuerunt, aliæ autem à nemine, quod ſciam. </s>
                <s xml:id="echoid-s2263" xml:space="preserve">Sunt autem quinque ad minus eæ cau
                  <lb/>
                ſæ, quarum vna eft diuturna folis mora, tempore æſtatis ſupra orizontem, quæ cau-
                  <lb/>
                ſa ab antiquis pofita, & citata fuit. </s>
                <s xml:id="echoid-s2264" xml:space="preserve">Aliam quoque huius rei cauſam iidem antiqui
                  <lb/>
                dicebant eſſe propinquitatem ſolis noftro Zenith, ſed hæc cauſa immediata non
                  <lb/>
                eſt, quia ab ea tres caufæ immediatæ naſcuntur; </s>
                <s xml:id="echoid-s2265" xml:space="preserve">quarum vna eft maior unio radij re
                  <lb/>
                flexi cum radio incidenti; </s>
                <s xml:id="echoid-s2266" xml:space="preserve">ſecunda maior quantitas luminis in ſuperficie terrę;
                  <lb/>
                </s>
                <s xml:id="echoid-s2267" xml:space="preserve">tertia, minor
                  <reg norm="reſiſtentia" type="context">reſiſtẽtia</reg>
                vaporum ipſi radio luminoſo facta; </s>
                <s xml:id="echoid-s2268" xml:space="preserve">quarta verò eft impresfio
                  <lb/>
                caloris facta in terra, quæ cum aliis caufis coniuncta calorem adauget. quæ quidem
                  <lb/>
                caufæ nemini adhuc, quod fciam, in
                  <reg norm="mentem" type="context">mentẽ</reg>
                venerunt. </s>
                <s xml:id="echoid-s2269" xml:space="preserve">Quòd autem attinet ad ma-
                  <lb/>
                iorem coniunctionem radii reſlexi cum incidente, quiſque, uel ſaltem mediocriter
                  <lb/>
                in cathoptricę cognitione verſatus hoc verum eſſe cognoſcet. </s>
                <s xml:id="echoid-s2270" xml:space="preserve">Vt hoc tamen in-
                  <lb/>
                noteſcat facilius. </s>
                <s xml:id="echoid-s2271" xml:space="preserve">Imaginemur
                  <var>.q.p.</var>
                et
                  <var>.b.d.</var>
                eſſe duas particulas ęquales ſuperficiei
                  <lb/>
                ipfius terræ, ſuper quas cadant duo radii luminofi ſolis
                  <var>.e.q.</var>
                et
                  <var>.n.d.</var>
                quorum
                  <var>.e.q.</var>
                fit ad
                  <lb/>
                modum obliquus, et
                  <var>.n.d.</var>
                quaſi perpendicularis, vnde radii reſlexi
                  <var>.p.a.</var>
                et
                  <var>.b.u.</var>
                aſcen
                  <lb/>
                dent cum angulis æqualibus eis, qui funt ſuorum cadentium, cum omnis angulus re-
                  <lb/>
                flexionis femper æqualis ſit angulo ſuæ incidentię, vt cuilibet in cathoptrica, vel me
                  <lb/>
                diocriter verfato pater. </s>
                <s xml:id="echoid-s2272" xml:space="preserve">Mixtio autem primorum obliquorum erit
                  <var>.q.o.p.</var>
                & ea, quæ
                  <lb/>
                eft minus obliquorum
                  <var>.b.i.d.</var>
                quorum duorum triangulorum nullus unquam erit, qui
                  <lb/>
                dubitare posfit
                  <var>.q.o.p.</var>
                non eſſe minorem
                  <var>.b.i.d.</var>
                cum anguli
                  <var>.q.</var>
                et
                  <var>.p.</var>
                trianguli
                  <var>.q.o.p.</var>
                a-
                  <lb/>
                cutiores ſint angulis
                  <var>.b.</var>
                et
                  <var>.d.</var>
                trianguli
                  <var>.b.i.d.</var>
                ex ſuppoſito. </s>
                <s xml:id="echoid-s2273" xml:space="preserve">Quòd uero attinet ad ma
                  <lb/>
                iorem quantitatem luminis ſuper terræ ſuperſiciem; </s>
                <s xml:id="echoid-s2274" xml:space="preserve">Imaginemur radium
                  <var>.a.q.</var>
                cuius
                  <lb/>
                reſpectu etiam imagine mur duos ſuperficiei terræ ſitus, quorum vnus fit
                  <var>.q.o</var>
                : cui di-
                  <lb/>
                ctus radius fit perpendicularis, & alter
                  <var>.q.p.</var>
                cui radius
                  <var>.a.q.</var>
                ex obliquo incidat. </s>
                <s xml:id="echoid-s2275" xml:space="preserve">Ima-
                  <lb/>
                ginemur ergo triangulum
                  <var>.q.o.p.</var>
                cuius angulus
                  <var>.o.</var>
                rectus eſt ex ſuppoſito, unde
                  <var>.q.o.</var>
                  <lb/>
                minor erit
                  <var>.q.p.</var>
                ex .18. primi Euclidis. </s>
                <s xml:id="echoid-s2276" xml:space="preserve">hinc fit, vt ſuper
                  <var>.q.o.</var>
                cadat vniuerſum lumen,
                  <lb/>
                quod ſuper
                  <var>.q.p.</var>
                diffunditur. </s>
                <s xml:id="echoid-s2277" xml:space="preserve">Sit
                  <var>.q.u.</var>
                æqualis
                  <var>.q.o.</var>
                & fit imaginatione protracta
                  <var>.u.n.</var>
                  <lb/>
                æquidiftans
                  <var>.p.o.a.</var>
                vnde
                  <var>.q.u.</var>
                illuminata erit à radio
                  <var>.n.q.</var>
                minore radio
                  <var>.a.q.</var>
                ergo mi-
                  <lb/>
                nus calida erit ſuperficies
                  <var>.q.u.</var>
                ipſius terræ, quàm.q.o. quia maius lumen in ſe maio-
                  <lb/>
                rem calorem includit: </s>
                <s xml:id="echoid-s2278" xml:space="preserve">quod manifeſtè apparet in radiorum vnione mediante refle-
                  <lb/>
                xione, aut refractione. </s>
                <s xml:id="echoid-s2279" xml:space="preserve">Sed quod attinet ad minorem refiſtentiam vaporum ad ip-
                  <lb/>
                ſum radium luminoſum, etfi primo capite meæ Gnomonicæ leuiter id attigerim, ni
                  <lb/>
                hilominus tamen, & idem ipſum hoc loco proponam. </s>
                <s xml:id="echoid-s2280" xml:space="preserve">Denotetur, exempli gratia,
                  <lb/>
                ſuperficies terræ ab
                  <var>.o.g.</var>
                et ea, quæ eft vaporum ab
                  <var>.n.a.</var>
                ſupponatur etiam ſol in fitu.</s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum