Viviani, Vincenzo, De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei

Page concordance

< >
Scan Original
191 9
192 10
193 11
194 12
195 13
196 14
197 15
198 16
199 17
200 18
201 19
202 20
203 21
204 22
205 23
206 24
207 25
208 26
209 27
210 28
211 29
212 30
213 31
214 32
215 33
216 34
217 35
218 36
219 37
220 38
< >
page |< < (151) of 347 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div504" type="section" level="1" n="204">
          <pb o="151" file="0175" n="175"/>
        </div>
        <div xml:id="echoid-div505" type="section" level="1" n="205">
          <head xml:id="echoid-head210" xml:space="preserve">ADDENDA LIB. I.</head>
          <p style="it">
            <s xml:id="echoid-s4984" xml:space="preserve">IN huius operis contextu, vel etiam in ipſa perſcriptione, quædam
              <lb/>
            ſunt, quæ aut mentem noſtram, aut Amanuenſis, quamuis accura-
              <lb/>
            tiſsimi, oculum effugerant: </s>
            <s xml:id="echoid-s4985" xml:space="preserve">itaque ſub calcem vniuſcuiuſque libri eadem ſic
              <lb/>
            addere liceat.</s>
            <s xml:id="echoid-s4986" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div506" type="section" level="1" n="206">
          <head xml:id="echoid-head211" xml:space="preserve">Pag. 74. ad finem Prim. Coroll.</head>
          <p>
            <s xml:id="echoid-s4987" xml:space="preserve">Quapropter huiuſmodi Parabolæ iuxta has interceptas lineas diametro B
              <lb/>
            E parallelas, ſunt ſemper inter ſe ęquidiſtantes, licet iuxta intercepta appli-
              <lb/>
            catarum ſegmenta A E, I D, L M, & </s>
            <s xml:id="echoid-s4988" xml:space="preserve">ad eaſdem partes A I, E D ſint ſem-
              <lb/>
            per ſimul accedentes, nunquam verò coeuntes.</s>
            <s xml:id="echoid-s4989" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div507" type="section" level="1" n="207">
          <head xml:id="echoid-head212" xml:space="preserve">Ad calcem Pag. 78.
            <lb/>
          COROLL. II.</head>
          <p>
            <s xml:id="echoid-s4990" xml:space="preserve">PAtet denique congruentes Hyperbolas per diuerſos vèrtices ſimul ad-
              <lb/>
            ſcriptas, & </s>
            <s xml:id="echoid-s4991" xml:space="preserve">ad eaſdem partes productas, eſſe inter ſe, & </s>
            <s xml:id="echoid-s4992" xml:space="preserve">ſimul ſemper ma-
              <lb/>
            gis accedentes, & </s>
            <s xml:id="echoid-s4993" xml:space="preserve">ſemper æquidiſtantes. </s>
            <s xml:id="echoid-s4994" xml:space="preserve">Nam iuxta intercepta applicata-
              <lb/>
            rum ſegmenta A E, S D, X Y, in præcedentibus figuris huiuſmodi Hyper-
              <lb/>
            bolæ ſemper fiunt propiores, licet nunquam ſimul conueniant; </s>
            <s xml:id="echoid-s4995" xml:space="preserve">iuxta autem
              <lb/>
            rectas B E, M D, Z Y, ad eaſdem partes A S, E D, perpetuam ſeruant ęqui-
              <lb/>
            diſtantiam, cum ipſæ B E, M D, Z Y inter ſe æquales ſint oſtenſæ, &</s>
            <s xml:id="echoid-s4996" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4997" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div508" type="section" level="1" n="208">
          <head xml:id="echoid-head213" xml:space="preserve">Pag. 87. ad finem Moniti.</head>
          <p style="it">
            <s xml:id="echoid-s4998" xml:space="preserve">atque item congruentes Hyperbolæ, &</s>
            <s xml:id="echoid-s4999" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5000" xml:space="preserve">prout in 2. </s>
            <s xml:id="echoid-s5001" xml:space="preserve">Coroll. </s>
            <s xml:id="echoid-s5002" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s5003" xml:space="preserve">quadrageſi-
              <lb/>
            quartæ monuimus.</s>
            <s xml:id="echoid-s5004" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div509" type="section" level="1" n="209">
          <head xml:id="echoid-head214" xml:space="preserve">Pag. 123. poſt Prop. 77.
            <lb/>
          Aliter idem, ac Vniuerſaliùs.</head>
          <p>
            <s xml:id="echoid-s5005" xml:space="preserve">MAXIMÆ ſimiles Ellipſes, Parabolæ inſcriptę, & </s>
            <s xml:id="echoid-s5006" xml:space="preserve">à vertice
              <lb/>
            ſucceſſiuè ſe mutuò contingentes, ſunt inter ſe in ratione quadra-
              <lb/>
            torum, diſparium numerorum ab vnitate incipientium.</s>
            <s xml:id="echoid-s5007" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5008" xml:space="preserve">ESto Parabole A B C, cuius diameter B D, latus rectum B E, & </s>
            <s xml:id="echoid-s5009" xml:space="preserve">circa
              <lb/>
            quodlibet diametri ſegmentum B F ſit ipſi Parabolæ per verticem E
              <lb/>
            inicripta _MAXIMA_ Ellipſis B F (quę erit illa, cuius rectum latus idem
              <note symbol="*" position="right" xlink:label="note-0175-01" xlink:href="note-0175-01a" xml:space="preserve">20. h.</note>
            ac rectum B E) & </s>
            <s xml:id="echoid-s5010" xml:space="preserve">applicata ex F ad diametrum recta H F G, ſumptaque
              <lb/>
            F I æquali ipſi F B, ducatur diagonalis G I L, ex L applicetur L M </s>
          </p>
        </div>
      </text>
    </echo>
Impressum