Apian, Petrus, Cosmographia

Table of contents

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[71.] ¶ De Periœcis.
[72.] ¶ De Antœcis.
[73.] ¶ De Periſcijs.
[74.] QVO DIFFERVNT, INSVLA, Peninſula, Iſthmus, & Continens. CAP. XVII.
[75.] Ecce ſummariam diuiſionem.
[76.] DE VSV TABVLARVM PTOL. ET qualiter vniuſcuiuſq; regionis, aut oppidi ſitus, in illis ſit inuenicndus. CAP. XVIII.
[77.] Ecce formulam, vſum, atquc ſtructuram Tabularum Ptolomæi, cum quibuſdam locis, in quibus ſtudioſus Geogra-phiæ ſe ſatis exercere poteſt.
[78.] De ſpeculo coſmographico Caput. XIX.
[79.] DE VSV SPECVLI COSMOGR APHICI.
[80.] PROPOSITIO I.
[81.] PROPOSITIO. II.
[82.] PROPOSITIO. III.
[83.] PROPOSITIO. IIII.
[84.] PROPOSITIO. V.
[85.] SECVNDA PARS principalis huius libri. DE SVMMA, NECNON PART I-culari Europæ, Africæ, Aſiæ, & Americæ deſcriptioue. DE EVROPA. CAP. I.
[86.] DE AFRICA. CAP. II.
[87.] DE ASIA. CAP. III.
[88.] DE AMERICA. CAP. IIII.
[89.] Appendix Gemmæ Friſij.
[90.] De Abaco, hoceſt, particu lari ſeu radicali Orbis deſcriptione. CAP. V.
[91.] EVROPÆ PARTICVLARIS DESCRIPTIO.
[92.] PARTILIS GRÆCIÆ deſcriptio.
[93.] AFRICÆ PARTICVLARIS deſcriptio. TINGIT ANÆ M AV-ritaniæ aut Barbaricæ P. Af. C.
[94.] ASIÆ REGIONIS partes & oppida.
[95.] Inſularum ſumma enarratio.
[96.] ¶ Europæ inſularum finis.
[97.] AFRICÆ INSVLÆ
[98.] ASIÆ INSVLÆ.
[99.] INSVLÆ AMERICÆ
[100.] FINIS TABVLÆ REGIONVM.
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page |< < (Fo.18.) of 140 > >|
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        <div xml:id="echoid-div58" type="section" level="1" n="56">
          <p>
            <s xml:id="echoid-s1058" xml:space="preserve">
              <pb o="Fo.18." file="041" n="41" rhead="GRAPH. PETRI AP."/>
            mum inuentum. </s>
            <s xml:id="echoid-s1059" xml:space="preserve">Secundò ingredior tabulam cum numero graduũ
              <lb/>
            proximo maiori ſcilicet 46. </s>
            <s xml:id="echoid-s1060" xml:space="preserve">gradibus, & </s>
            <s xml:id="echoid-s1061" xml:space="preserve">inuenio minuta 41. </s>
            <s xml:id="echoid-s1062" xml:space="preserve">ſecun-
              <lb/>
            d240. </s>
            <s xml:id="echoid-s1063" xml:space="preserve">Secundum inuentum. </s>
            <s xml:id="echoid-s1064" xml:space="preserve">Nunc autem elicio differentiam inter
              <lb/>
            primum & </s>
            <s xml:id="echoid-s1065" xml:space="preserve">ſecundum inuenta, illa´; </s>
            <s xml:id="echoid-s1066" xml:space="preserve">erit. </s>
            <s xml:id="echoid-s1067" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1068" xml:space="preserve">ſecundorum, de qua ac-
              <lb/>
            cipio partem proportionalem ſecundum proportionem reſidui la-
              <lb/>
            titudinis mediæ. </s>
            <s xml:id="echoid-s1069" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1070" xml:space="preserve">ſcilicet minutorum ad. </s>
            <s xml:id="echoid-s1071" xml:space="preserve">30. </s>
            <s xml:id="echoid-s1072" xml:space="preserve">minuta, dicendo. </s>
            <s xml:id="echoid-s1073" xml:space="preserve">30.
              <lb/>
            </s>
            <s xml:id="echoid-s1074" xml:space="preserve">minuta dant. </s>
            <s xml:id="echoid-s1075" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1076" xml:space="preserve">minuta, quot dant 23 ſecunda. </s>
            <s xml:id="echoid-s1077" xml:space="preserve">facit. </s>
            <s xml:id="echoid-s1078" xml:space="preserve">17. </s>
            <s xml:id="echoid-s1079" xml:space="preserve">ſecunda. </s>
            <s xml:id="echoid-s1080" xml:space="preserve">
              <lb/>
            Iam demo 17. </s>
            <s xml:id="echoid-s1081" xml:space="preserve">ſecunda à primo inuento & </s>
            <s xml:id="echoid-s1082" xml:space="preserve">relinquitur inuentum ter
              <lb/>
            tium minutorum ſcilicet 41. </s>
            <s xml:id="echoid-s1083" xml:space="preserve">ſecundorum. </s>
            <s xml:id="echoid-s1084" xml:space="preserve">46 æquatoris, vni gradui
              <lb/>
            longitudinis in parallelo latitudinis mediæ correſpondentia. </s>
            <s xml:id="echoid-s1085" xml:space="preserve">Poſt
              <lb/>
            hæc duco inuentum tertium phyſica ratione in longitudinis diffe-
              <lb/>
            rentiam, quæ eſt graduum 26. </s>
            <s xml:id="echoid-s1086" xml:space="preserve">minu. </s>
            <s xml:id="echoid-s1087" xml:space="preserve">54. </s>
            <s xml:id="echoid-s1088" xml:space="preserve">proueniunt gradus 18. </s>
            <s xml:id="echoid-s1089" xml:space="preserve">minu
              <lb/>
            ta. </s>
            <s xml:id="echoid-s1090" xml:space="preserve">44. </s>
            <s xml:id="echoid-s1091" xml:space="preserve">differentia ſcilicet conuerſa. </s>
            <s xml:id="echoid-s1092" xml:space="preserve">ſecunda vero & </s>
            <s xml:id="echoid-s1093" xml:space="preserve">tertia quaſi nul-
              <lb/>
            lius momenti iam vltimo delenda ſunt. </s>
            <s xml:id="echoid-s1094" xml:space="preserve">Nunc autem, vt ſemel fini-
              <lb/>
            am, reſoluo differentiam latitudinis in mi. </s>
            <s xml:id="echoid-s1095" xml:space="preserve">proueniunt mi 337. </s>
            <s xml:id="echoid-s1096" xml:space="preserve">quæ
              <lb/>
            duco in ſe, & </s>
            <s xml:id="echoid-s1097" xml:space="preserve">procreo. </s>
            <s xml:id="echoid-s1098" xml:space="preserve">113569. </s>
            <s xml:id="echoid-s1099" xml:space="preserve">& </s>
            <s xml:id="echoid-s1100" xml:space="preserve">dicitur primus quadratus. </s>
            <s xml:id="echoid-s1101" xml:space="preserve">Conſi-
              <lb/>
            militer differentiam longitudinis cõuerſam in mi. </s>
            <s xml:id="echoid-s1102" xml:space="preserve">reſoluo, erunt´que
              <lb/>
            mi. </s>
            <s xml:id="echoid-s1103" xml:space="preserve">1124. </s>
            <s xml:id="echoid-s1104" xml:space="preserve">quem numerum cõſimiliter duco in ſe, producitur quadra-
              <lb/>
            tus ſecũdus ſcilicet 1263376. </s>
            <s xml:id="echoid-s1105" xml:space="preserve">Iũgo ambo quadrata & </s>
            <s xml:id="echoid-s1106" xml:space="preserve">habeo 1376945. </s>
            <s xml:id="echoid-s1107" xml:space="preserve">
              <lb/>
            huius numeri radix quadrata eſt ferè 1173 mi. </s>
            <s xml:id="echoid-s1108" xml:space="preserve">Quæ tandem multi-
              <lb/>
            plico per 15. </s>
            <s xml:id="echoid-s1109" xml:space="preserve">milia. </s>
            <s xml:id="echoid-s1110" xml:space="preserve">& </s>
            <s xml:id="echoid-s1111" xml:space="preserve">proueniunt minuta in miliaribus 17595. </s>
            <s xml:id="echoid-s1112" xml:space="preserve">quæ
              <lb/>
            diuido per 60. </s>
            <s xml:id="echoid-s1113" xml:space="preserve">eliciũtur miliaria Germa. </s>
            <s xml:id="echoid-s1114" xml:space="preserve">communia 293. </s>
            <s xml:id="echoid-s1115" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s1116" xml:space="preserve">15. </s>
            <s xml:id="echoid-s1117" xml:space="preserve">quæ
              <lb/>
            faciunt quartam vnius. </s>
            <s xml:id="echoid-s1118" xml:space="preserve">Vel aliter: </s>
            <s xml:id="echoid-s1119" xml:space="preserve">diuide minuta radicis per 4. </s>
            <s xml:id="echoid-s1120" xml:space="preserve">pro-
              <lb/>
            uenitidem, quia ſemper 4. </s>
            <s xml:id="echoid-s1121" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s1122" xml:space="preserve">gradus, faciunt vnum miliare Germa. </s>
            <s xml:id="echoid-s1123" xml:space="preserve">
              <lb/>
            vel 1. </s>
            <s xml:id="echoid-s1124" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s1125" xml:space="preserve">gradus facit. </s>
            <s xml:id="echoid-s1126" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1127" xml:space="preserve">miliare Italicum.</s>
            <s xml:id="echoid-s1128" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div59" type="section" level="1" n="57">
          <head xml:id="echoid-head62" style="it" xml:space="preserve">¶ Nonabſurdum arbitramur hoc in loco practicæ
            <lb/>
          formulam huius exempli ſubijcere.</head>
          <p>
            <s xml:id="echoid-s1129" xml:space="preserve">Conſtantinopolis habet gra. </s>
            <s xml:id="echoid-s1130" xml:space="preserve">longitudinis. </s>
            <s xml:id="echoid-s1131" xml:space="preserve">56.</s>
            <s xml:id="echoid-s1132" xml:space="preserve">0. </s>
            <s xml:id="echoid-s1133" xml:space="preserve">latitudinis. </s>
            <s xml:id="echoid-s1134" xml:space="preserve">43.</s>
            <s xml:id="echoid-s1135" xml:space="preserve">5.</s>
            <s xml:id="echoid-s1136" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1137" xml:space="preserve">Ingolſtadium in longitudine 296. </s>
            <s xml:id="echoid-s1138" xml:space="preserve">in latitudine. </s>
            <s xml:id="echoid-s1139" xml:space="preserve">48.</s>
            <s xml:id="echoid-s1140" xml:space="preserve">42.</s>
            <s xml:id="echoid-s1141" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1142" xml:space="preserve">Differentia longitudinis gra. </s>
            <s xml:id="echoid-s1143" xml:space="preserve">26 54. </s>
            <s xml:id="echoid-s1144" xml:space="preserve"># Different. </s>
            <s xml:id="echoid-s1145" xml:space="preserve">latitu. </s>
            <s xml:id="echoid-s1146" xml:space="preserve">gra 5.</s>
            <s xml:id="echoid-s1147" xml:space="preserve">37.</s>
            <s xml:id="echoid-s1148" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1149" xml:space="preserve">Medietas differentiæ latit gra 248. </s>
            <s xml:id="echoid-s1150" xml:space="preserve"># Latitudo media. </s>
            <s xml:id="echoid-s1151" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s1152" xml:space="preserve">45.</s>
            <s xml:id="echoid-s1153" xml:space="preserve">35.</s>
            <s xml:id="echoid-s1154" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1155" xml:space="preserve">Inuentum primum minut. </s>
            <s xml:id="echoid-s1156" xml:space="preserve">42. </s>
            <s xml:id="echoid-s1157" xml:space="preserve">ſecund. </s>
            <s xml:id="echoid-s1158" xml:space="preserve">3.</s>
            <s xml:id="echoid-s1159" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1160" xml:space="preserve">Inuentum ſecundum minut. </s>
            <s xml:id="echoid-s1161" xml:space="preserve">41. </s>
            <s xml:id="echoid-s1162" xml:space="preserve">ſecund. </s>
            <s xml:id="echoid-s1163" xml:space="preserve">40.</s>
            <s xml:id="echoid-s1164" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1165" xml:space="preserve">Differentia primi & </s>
            <s xml:id="echoid-s1166" xml:space="preserve">ſecundi inuentorum. </s>
            <s xml:id="echoid-s1167" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1168" xml:space="preserve">ſecundorum</s>
          </p>
          <p>
            <s xml:id="echoid-s1169" xml:space="preserve">Pars proportionalis ſubtrahenda. </s>
            <s xml:id="echoid-s1170" xml:space="preserve">17. </s>
            <s xml:id="echoid-s1171" xml:space="preserve">ſecundorum</s>
          </p>
          <p>
            <s xml:id="echoid-s1172" xml:space="preserve">Inuentum tertium minuta. </s>
            <s xml:id="echoid-s1173" xml:space="preserve">41. </s>
            <s xml:id="echoid-s1174" xml:space="preserve">ſecund. </s>
            <s xml:id="echoid-s1175" xml:space="preserve">46.</s>
            <s xml:id="echoid-s1176" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1177" xml:space="preserve">Differentia conuerſa in gra. </s>
            <s xml:id="echoid-s1178" xml:space="preserve">æquatoris gra. </s>
            <s xml:id="echoid-s1179" xml:space="preserve">18. </s>
            <s xml:id="echoid-s1180" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s1181" xml:space="preserve">44.</s>
            <s xml:id="echoid-s1182" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1183" xml:space="preserve">Minuta difſerentiæ latitudinis. </s>
            <s xml:id="echoid-s1184" xml:space="preserve">337. </s>
            <s xml:id="echoid-s1185" xml:space="preserve"># Quadratus eiuſdem. </s>
            <s xml:id="echoid-s1186" xml:space="preserve">113569.</s>
            <s xml:id="echoid-s1187" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1188" xml:space="preserve">Minuta differentiæ conuerſæ.</s>
            <s xml:id="echoid-s1189" xml:space="preserve">1124. </s>
            <s xml:id="echoid-s1190" xml:space="preserve"># Quadratus eiuſdem. </s>
            <s xml:id="echoid-s1191" xml:space="preserve">1263376.</s>
            <s xml:id="echoid-s1192" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1193" xml:space="preserve">Numeri quadrati ſimul iuncti. </s>
            <s xml:id="echoid-s1194" xml:space="preserve">1376945.</s>
            <s xml:id="echoid-s1195" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1196" xml:space="preserve">Radix quadrata aggregata eſt fere. </s>
            <s xml:id="echoid-s1197" xml:space="preserve">1173. </s>
            <s xml:id="echoid-s1198" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s1199" xml:space="preserve">fiunt gra. </s>
            <s xml:id="echoid-s1200" xml:space="preserve">1933.</s>
            <s xml:id="echoid-s1201" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1202" xml:space="preserve">Milarium minuta. </s>
            <s xml:id="echoid-s1203" xml:space="preserve">17595.</s>
            <s xml:id="echoid-s1204" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1205" xml:space="preserve">Minuta ad integra mili. </s>
            <s xml:id="echoid-s1206" xml:space="preserve">reducta Ger. </s>
            <s xml:id="echoid-s1207" xml:space="preserve">293.</s>
            <s xml:id="echoid-s1208" xml:space="preserve">miliar.</s>
            <s xml:id="echoid-s1209" xml:space="preserve">15.</s>
            <s xml:id="echoid-s1210" xml:space="preserve">mi.</s>
            <s xml:id="echoid-s1211" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>