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

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            <s xml:id="echoid-s1168" xml:space="preserve">Iam ſi iungantur AN, AO, AP, &</s>
            <s xml:id="echoid-s1169" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1170" xml:space="preserve">quæ ſecent LO, MP, FG, &</s>
            <s xml:id="echoid-s1171" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1172" xml:space="preserve">in 5, 6,
              <lb/>
            7, &</s>
            <s xml:id="echoid-s1173" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1174" xml:space="preserve">incerceptæ N5, O6, P7, cadent totæ intra Parabolen AGC, hoc eſt
              <lb/>
            extra trilineum AGCB; </s>
            <s xml:id="echoid-s1175" xml:space="preserve">& </s>
            <s xml:id="echoid-s1176" xml:space="preserve">ſi ex punctis B, Q, R, K, &</s>
            <s xml:id="echoid-s1177" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1178" xml:space="preserve">ducantur contin-
              <lb/>
            gentes BS, QT, RV, KX, &</s>
            <s xml:id="echoid-s1179" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1180" xml:space="preserve">ipſæ æquidiſtabunt rectis CD, N5, O6, P7,
              <lb/>
            &</s>
            <s xml:id="echoid-s1181" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1182" xml:space="preserve">(cum ductæ AC, AN, AO, AP, &</s>
            <s xml:id="echoid-s1183" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1184" xml:space="preserve">ſint ordinatim ductæ
              <note symbol="a" position="right" xlink:label="note-0053-01" xlink:href="note-0053-01a" xml:space="preserve">3. Co-
                <lb/>
              roll. 13. h.</note>
            BC, QN, RO, KP, &</s>
            <s xml:id="echoid-s1185" xml:space="preserve">c) ſicque circumſcribetur trilineo AHBCGA, figura
              <lb/>
            ex æquealtis parallelogrammis BD, S5, T6, V7, &</s>
            <s xml:id="echoid-s1186" xml:space="preserve">c.</s>
            <s xml:id="echoid-s1187" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1188" xml:space="preserve">Ampliùs, ſi ipſæ ZQ, &</s>
            <s xml:id="echoid-s1189" xml:space="preserve">R, IK, &</s>
            <s xml:id="echoid-s1190" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1191" xml:space="preserve">producantur extra ſemi-Parabolen,
              <lb/>
            cadent totæ intra trilineum AEBH, atque ita inſcribetur ei figura ex paralle-
              <lb/>
              <figure xlink:label="fig-0053-01" xlink:href="fig-0053-01a" number="30">
                <image file="0053-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0053-01"/>
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            logrammis &</s>
            <s xml:id="echoid-s1192" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1193" xml:space="preserve">Et ſi ex punctis Q, R, K, &</s>
            <s xml:id="echoid-s1194" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1195" xml:space="preserve">ducantur contingentibus SB
              <lb/>
            TQ, VR, &</s>
            <s xml:id="echoid-s1196" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1197" xml:space="preserve">æquidiſtantes, cadent totæ intra trilineum AHBCG, cum ſint
              <lb/>
            ordinatim ductæ, & </s>
            <s xml:id="echoid-s1198" xml:space="preserve">ſi ex punctis N, O, P, &</s>
            <s xml:id="echoid-s1199" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1200" xml:space="preserve">ducantur ad partes diametri
              <lb/>
            EBC rectæ æquidiſtantes ipſis AC, AN, AO, &</s>
            <s xml:id="echoid-s1201" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1202" xml:space="preserve">(quæ erunt etiam paral-
              <lb/>
            lelæ contingentibus ex B, Q, R, &</s>
            <s xml:id="echoid-s1203" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1204" xml:space="preserve">vel prædictis applicatis ex Q, R, K &</s>
            <s xml:id="echoid-s1205" xml:space="preserve">c.)
              <lb/>
            </s>
            <s xml:id="echoid-s1206" xml:space="preserve">cadent hæ@ quoq; </s>
            <s xml:id="echoid-s1207" xml:space="preserve">intra trilineum AHBCG, nam quæ ex N ducitur ipſi AC
              <lb/>
            æquidiſtans ad partes diametri CB cadit extra Parabolen AGNC, cum ſit
              <lb/>
            AD maior DC, & </s>
            <s xml:id="echoid-s1208" xml:space="preserve">quæ ex O ęquidiſtat ipſi AN cadit extra AGC, cum ſit AS
              <lb/>
            maior 5N, & </s>
            <s xml:id="echoid-s1209" xml:space="preserve">ſic de reliquis. </s>
            <s xml:id="echoid-s1210" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s1211" xml:space="preserve">hac operatione inſcribetur trilineo AH-
              <lb/>
            BCG figura ex parallelogrãmis æquealtis, &</s>
            <s xml:id="echoid-s1212" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1213" xml:space="preserve">Quare ex his, & </s>
            <s xml:id="echoid-s1214" xml:space="preserve">ex 14. </s>
            <s xml:id="echoid-s1215" xml:space="preserve"/>
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