Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
181 (1)
182 2
183 3
184 4
185 5
186 6
187 7
188 8
189 9
190 10
191 11
192 12
193 13
194 14
195 15
196 16
197 17
198 18
199 19
200 20
201 21
202 22
203 23
204 24
205 25
206 26
207 27
208 28
209 29
210 30
< >
page |< < (108) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div199" type="section" level="1" n="65">
          <p>
            <s xml:id="echoid-s3043" xml:space="preserve">
              <pb file="0120" n="120" rhead="FED. COMMANDINI"/>
            triangulum m k φ triangulo n k φ. </s>
            <s xml:id="echoid-s3044" xml:space="preserve">ergo anguli l z k, o z k,
              <lb/>
            m φ k, n φ k æquales ſunt, ac recti. </s>
            <s xml:id="echoid-s3045" xml:space="preserve">quòd cum etiam recti
              <lb/>
            ſint, qui ad k; </s>
            <s xml:id="echoid-s3046" xml:space="preserve">æquidiſtabunt lineæ l o, m n axi b d. </s>
            <s xml:id="echoid-s3047" xml:space="preserve">& </s>
            <s xml:id="echoid-s3048" xml:space="preserve">ita.
              <lb/>
            </s>
            <s xml:id="echoid-s3049" xml:space="preserve">
              <note position="left" xlink:label="note-0120-01" xlink:href="note-0120-01a" xml:space="preserve">28. primi.</note>
            demonſtrabuntur l m, o n ipſi a c æquidiſtare. </s>
            <s xml:id="echoid-s3050" xml:space="preserve">Rurſus ſi
              <lb/>
            iungantur a l, l b, b m, m c, c n, n d, d o, o a: </s>
            <s xml:id="echoid-s3051" xml:space="preserve">& </s>
            <s xml:id="echoid-s3052" xml:space="preserve">bifariam di
              <lb/>
            uidantur: </s>
            <s xml:id="echoid-s3053" xml:space="preserve">à centro autem k ad diuiſiones ductæ lineæ pro-
              <lb/>
            trahantur uſque ad ſectionem in puncta p q r s t u x y: </s>
            <s xml:id="echoid-s3054" xml:space="preserve">& </s>
            <s xml:id="echoid-s3055" xml:space="preserve">po
              <lb/>
            ſtremo p y, q x, r u, s t, q r, p s, y t, x u coniungantur. </s>
            <s xml:id="echoid-s3056" xml:space="preserve">Simili-
              <lb/>
            ter oſtendemus lineas
              <lb/>
              <figure xlink:label="fig-0120-01" xlink:href="fig-0120-01a" number="76">
                <image file="0120-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0120-01"/>
              </figure>
            p y, q x, r u, s t axi b d æ-
              <lb/>
            quidiſtantes eſſe: </s>
            <s xml:id="echoid-s3057" xml:space="preserve">& </s>
            <s xml:id="echoid-s3058" xml:space="preserve">q r,
              <lb/>
            p s, y t, x u æquidiſtan-
              <lb/>
            tesipſi a c. </s>
            <s xml:id="echoid-s3059" xml:space="preserve">Itaque dico
              <lb/>
            harum figurarum in el-
              <lb/>
            lipſi deſcriptarum cen-
              <lb/>
            trum grauitatis eſſe pũ-
              <lb/>
            ctum k, idem quod & </s>
            <s xml:id="echoid-s3060" xml:space="preserve">el
              <lb/>
            lipſis centrum. </s>
            <s xml:id="echoid-s3061" xml:space="preserve">quadri-
              <lb/>
            lateri enim a b c d cen-
              <lb/>
            trum eſt k, ex decima e-
              <lb/>
            iuſdem libri Archime-
              <lb/>
            dis, quippe cũ in eo om
              <lb/>
            nes diametri cõueniãt.
              <lb/>
            </s>
            <s xml:id="echoid-s3062" xml:space="preserve">Sed in figura alb m c n
              <lb/>
              <note position="left" xlink:label="note-0120-02" xlink:href="note-0120-02a" xml:space="preserve">13. Archi
                <lb/>
              medis.</note>
            d o, quoniam trianguli
              <lb/>
            alb centrum grauitatis
              <lb/>
              <note position="left" xlink:label="note-0120-03" xlink:href="note-0120-03a" xml:space="preserve">Vltima.</note>
            eſt in linea l e: </s>
            <s xml:id="echoid-s3063" xml:space="preserve">trapezijq́; </s>
            <s xml:id="echoid-s3064" xml:space="preserve">a b m o centrum in linea e k: </s>
            <s xml:id="echoid-s3065" xml:space="preserve">trape
              <lb/>
            zij o m c d in k g: </s>
            <s xml:id="echoid-s3066" xml:space="preserve">& </s>
            <s xml:id="echoid-s3067" xml:space="preserve">trianguli c n d in ipſa g n: </s>
            <s xml:id="echoid-s3068" xml:space="preserve">erit magnitu
              <lb/>
            dinis ex his omnibus conſtantis, uidelicet totius figuræ cen
              <lb/>
            trum grauitatis in linea l n: </s>
            <s xml:id="echoid-s3069" xml:space="preserve">& </s>
            <s xml:id="echoid-s3070" xml:space="preserve">o b eandem cauſſam in linea
              <lb/>
            o m. </s>
            <s xml:id="echoid-s3071" xml:space="preserve">eſt enim trianguli a o d centrum in linea o h: </s>
            <s xml:id="echoid-s3072" xml:space="preserve">trapezij
              <lb/>
            a l n d in h k: </s>
            <s xml:id="echoid-s3073" xml:space="preserve">trapezij l b c n in k f: </s>
            <s xml:id="echoid-s3074" xml:space="preserve">& </s>
            <s xml:id="echoid-s3075" xml:space="preserve">trianguli b m c in fm.
              <lb/>
            </s>
            <s xml:id="echoid-s3076" xml:space="preserve">cum ergo figuræ a l b m c n d o centrum grauitatis ſit in li-
              <lb/>
            nea l n, & </s>
            <s xml:id="echoid-s3077" xml:space="preserve">in linea o m; </s>
            <s xml:id="echoid-s3078" xml:space="preserve">erit centrum ipſius punctum k, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum