Blancanus, Josephus, Sphaera mvndi, sev cosmographia demonstratiua , ac facile methodo tradita : in qua totius Mundi fabrica, vna cum nouis, Tychonis, Kepleri, Galilaei, aliorumq' ; Astronomorum adinuentis continentur ; Accessere I. Breuis introductio ad geographiam. II. Apparatus ad mathematicarum studium. III. Echometria, idest Geometrica tractatio de Echo. IV. Nouum instrumentum ad Horologia

Table of contents

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[21.] De Circulis Sphæræ generatim. Cap. II.
[22.] DeHorizonte. Cap. III.
[23.] De Meridiano Circulo. Cap. IV.
[24.] De Aequatore, ſeu Aequinoctiali circulo. # Cap. V.
[25.] Vſus Tabellæ.
[26.] De Zodiaco. # Cap. VI.
[27.] Vſus, & declaratio Tabulæ ſequentis.
[28.] Tabula declinationem omnium Eclypticæ graduum, & conſequenter Solis.
[29.] De duobus Coluris. Cap. VII.
[30.] De duobus Tropicis. Cap. VIII.
[31.] De duobus Circulis Polaribus. Cap. I X.
[32.] De Circulo ſecundi motus. Cap. X.
[33.] De alijs Circulis, qui in materiali Sphæra non ponuntur. Cap. XI.
[34.] De quinque Zonis, & Climatibus. Cap. XII.
[35.] Finis Libri Primi.
[36.] LIBER SECVNDVS DE TOTO MVNDO IN VNIVERSVM.
[37.] De Mundi loco. Cap. I.
[38.] De totius Mundi motu. Cap. II.
[39.] De Mundi fabrica. Cap. III.
[40.] De Mundi quantitate, & Magnitudine. Cap. IIII.
[41.] De mundano lumine, & vmbra. Cap. V.
[42.] Finis Libri Secundi.
[43.] LIBER TERTIVS DEPARTIBVS MVNDI, ET PRIMO DE PARTE ELEMENTARI.
[44.] De loco partis Elementaris. Cap. I.
[45.] Systema Mundi ſecundum Philolaum Phthagoricum, & eius ſectatores.
[46.] De figura partis Elementarijs. Cap II.
[47.] De motu Sphæra Elementaris. Cap. III.
[48.] De Magnitudine Sphæræ Elementaris. Cap. IIII.
[49.] Finis Libri Tertij@
[50.] LIBER QVARTVS DE TERRA De loco Terræ. # Cap. I.
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        <div xml:id="echoid-div30" type="section" level="1" n="20">
          <p>
            <s xml:id="echoid-s1046" xml:space="preserve">
              <pb o="8" file="0024" n="24" rhead="De Circulis Shpæræ."/>
              <figure xlink:label="fig-0024-01" xlink:href="fig-0024-01a" number="13">
                <image file="0024-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0024-01"/>
              </figure>
            id eſt vertici incumbentem, alterum vero hu-
              <lb/>
            millimum, ideſt, Cęli imum occupantem: </s>
            <s xml:id="echoid-s1047" xml:space="preserve">qui
              <lb/>
            ſtatus paralellam Sphęram conſtituit. </s>
            <s xml:id="echoid-s1048" xml:space="preserve">quę om
              <lb/>
            nia liceat perſpicuę
              <unsure/>
            in appoſito ſchemate cõ-
              <lb/>
            templari; </s>
            <s xml:id="echoid-s1049" xml:space="preserve">in quo tres ſint diuerſi habitatores
              <lb/>
            G H I. </s>
            <s xml:id="echoid-s1050" xml:space="preserve">in tribus locis in ſuperficie terræ ro-
              <lb/>
            tunda. </s>
            <s xml:id="echoid-s1051" xml:space="preserve">ex hac rotunditate oriuntur eorum
              <lb/>
            diuerſi Horizontes; </s>
            <s xml:id="echoid-s1052" xml:space="preserve">habitator enim G. </s>
            <s xml:id="echoid-s1053" xml:space="preserve">habet
              <lb/>
            Horizontem. </s>
            <s xml:id="echoid-s1054" xml:space="preserve">A D. </s>
            <s xml:id="echoid-s1055" xml:space="preserve">tranſeuntem per mundi
              <lb/>
            polos, vnde habet Spęram rectam habitator
              <lb/>
            ad H. </s>
            <s xml:id="echoid-s1056" xml:space="preserve">habebit alium Horizontem B E. </s>
            <s xml:id="echoid-s1057" xml:space="preserve">quia
              <lb/>
            debet quilibet habitator perpendicularis, ſuo
              <lb/>
            Horizonte inſiſtere, quando ſtat: </s>
            <s xml:id="echoid-s1058" xml:space="preserve">qui Hori-
              <lb/>
            zon B E. </s>
            <s xml:id="echoid-s1059" xml:space="preserve">infra polum D. </s>
            <s xml:id="echoid-s1060" xml:space="preserve">ex vna parte depri-
              <lb/>
            mitur: </s>
            <s xml:id="echoid-s1061" xml:space="preserve">ex altera vero ſupra polum A. </s>
            <s xml:id="echoid-s1062" xml:space="preserve">attolli-
              <lb/>
            tur, quæ eſt Sphæræ obliquæ conditio. </s>
            <s xml:id="echoid-s1063" xml:space="preserve">tan-
              <lb/>
            dem eadem de cauſa, habitator ad I. </s>
            <s xml:id="echoid-s1064" xml:space="preserve">horizon-
              <lb/>
            tem alium habebit C F. </s>
            <s xml:id="echoid-s1065" xml:space="preserve">cui pro vertice alter
              <lb/>
            vero A. </s>
            <s xml:id="echoid-s1066" xml:space="preserve">pro Nadir erit: </s>
            <s xml:id="echoid-s1067" xml:space="preserve">quam Sphæram no-
              <lb/>
            minabimus paralellam. </s>
            <s xml:id="echoid-s1068" xml:space="preserve">rotunditas igitur ter-
              <lb/>
            ræ varios efficit Horizontes, ac proinde va-
              <lb/>
            rias Sphęræ habitudines.</s>
            <s xml:id="echoid-s1069" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1070" xml:space="preserve">4 Tandem lectorem monitum velim, ad noſtræ Sphęræ intelligentiam neceſſarium eſſe habere ob ocu-
              <lb/>
            los Armillarem Spęram materialem, qualem nos ſupra conſtruximus, vel ſaltem aliam: </s>
            <s xml:id="echoid-s1071" xml:space="preserve">aliter non ſine ma-
              <lb/>
            gna difficultate ſæpius illi hærendum fore denuncio.</s>
            <s xml:id="echoid-s1072" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div32" type="section" level="1" n="21">
          <head xml:id="echoid-head23" style="it" xml:space="preserve">De Circulis Sphæræ generatim. Cap. II.</head>
          <p>
            <s xml:id="echoid-s1073" xml:space="preserve">PRimo ſciat lector, aut auditor huius doctrinæ, Circulos hoſce ex quibus materialis compingitur, Sphæ-
              <lb/>
            ra nullo modo Cęlos vllos repręſentare, ſed tantum referre Circulos aut potius circumferentias quaſdã,
              <lb/>
            quas in primo Mobili, aut ſupremo Cælo Aſtronomi optimis rationibus concipiunt eſſe deſcriptas: </s>
            <s xml:id="echoid-s1074" xml:space="preserve">quod
              <lb/>
            ideo monere initio volui, quia animaduerti ſæpius Aſtronomiæ Tyrones hac in re grauiter decipi.</s>
            <s xml:id="echoid-s1075" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1076" xml:space="preserve">2 Hiautem Circuli ſunt vndecim, Horizon, Meridianus, Zodiacus, Æquator, Colurus ſolſtitiorum,
              <lb/>
            Tropicus Cancri, Tropicus Capricornus, Circulus polaris arcticus, Circulus polaris antarcticus; </s>
            <s xml:id="echoid-s1077" xml:space="preserve">Et Circu-
              <lb/>
            lus ſecundi motus: </s>
            <s xml:id="echoid-s1078" xml:space="preserve">qui ſolusnon eſt concipiendus in ſupremo Cęlo, ſed infra ipſum in regione Planetarum.</s>
            <s xml:id="echoid-s1079" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1080" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1081" xml:space="preserve">Horum ſex priores dicuntur Circuli maximi, ſeu etiam maiores; </s>
            <s xml:id="echoid-s1082" xml:space="preserve">reliqui vero minores dicuntur. </s>
            <s xml:id="echoid-s1083" xml:space="preserve">Ma-
              <lb/>
            ximiſunt qui totam Sphæram bifariam, ſeu in partes æquales diuidunt, idemq; </s>
            <s xml:id="echoid-s1084" xml:space="preserve">cum Sphæra centrum poſ-
              <lb/>
            ſident, ſuntque propterea reliquis maiores. </s>
            <s xml:id="echoid-s1085" xml:space="preserve">Minores ij ſunt, qui Sphæram inæqualia non diuidunt, aliud-
              <lb/>
            que centrum habent à centro Sphæræ, ac propterea minores ſunt prædictis: </s>
            <s xml:id="echoid-s1086" xml:space="preserve">quæ omnia in materiali Sphæ-
              <lb/>
            ra recognoſcere poteris.</s>
            <s xml:id="echoid-s1087" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1088" xml:space="preserve">4 Alij ſunt inuicem paralelli, vt Æquator, Tropici, & </s>
            <s xml:id="echoid-s1089" xml:space="preserve">Polares; </s>
            <s xml:id="echoid-s1090" xml:space="preserve">alij ſunt inuicem concurrentes vt Zo-
              <lb/>
            diacus cum Æquatore, Coluris, & </s>
            <s xml:id="echoid-s1091" xml:space="preserve">Tropicis.</s>
            <s xml:id="echoid-s1092" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1093" xml:space="preserve">5 Omnes Circuli maiores ſe mutuo bifariam, ideſt, in æqua ſecant; </s>
            <s xml:id="echoid-s1094" xml:space="preserve">ſic vides in Sphæra materiali Hori-
              <lb/>
            zontem, ſecare bifariam Meridianum, & </s>
            <s xml:id="echoid-s1095" xml:space="preserve">viciſſim; </s>
            <s xml:id="echoid-s1096" xml:space="preserve">pariter Æquatorem bifariam ſecari ab Horizonti, & </s>
            <s xml:id="echoid-s1097" xml:space="preserve">
              <lb/>
            Meridiano, & </s>
            <s xml:id="echoid-s1098" xml:space="preserve">è contra. </s>
            <s xml:id="echoid-s1099" xml:space="preserve">Minores verò Circuli neq; </s>
            <s xml:id="echoid-s1100" xml:space="preserve">inuicem, neq; </s>
            <s xml:id="echoid-s1101" xml:space="preserve">maiores circulos mutuo bifariam diui-
              <lb/>
            dunt: </s>
            <s xml:id="echoid-s1102" xml:space="preserve">quamuis poſſint ipſi a maioribus bifariam ſecari, ſic Polares, & </s>
            <s xml:id="echoid-s1103" xml:space="preserve">Tropici per æqua ſecantur ab vtroque
              <lb/>
            Coluro, non tamen eos bifariam patiuntur.</s>
            <s xml:id="echoid-s1104" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1105" xml:space="preserve">6 Alij fixi ſunt, ac ſtabiles qui ſcilicet motu diurno neutiquam aguntur: </s>
            <s xml:id="echoid-s1106" xml:space="preserve">vti ſunt Horizon, & </s>
            <s xml:id="echoid-s1107" xml:space="preserve">Meridia-
              <lb/>
            nus: </s>
            <s xml:id="echoid-s1108" xml:space="preserve">alij ſunt mobiles, qui videlicet diurna conuerſione reuoluuntur, vti ſunt reliqui omnes, ex quibus pars
              <lb/>
            illa Sphęræ componitur, quam primum mobile appellandam eſſe cenſuimus, quæq; </s>
            <s xml:id="echoid-s1109" xml:space="preserve">intra Meridianum cir-
              <lb/>
            ca axem mundi circumuoluitur.</s>
            <s xml:id="echoid-s1110" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1111" xml:space="preserve">7 Alij vnici, & </s>
            <s xml:id="echoid-s1112" xml:space="preserve">ſingulares ſunt, vt Æquator, Zodiacus, & </s>
            <s xml:id="echoid-s1113" xml:space="preserve">cæteri omnes, præter Horizontem, & </s>
            <s xml:id="echoid-s1114" xml:space="preserve">Meri-
              <lb/>
            dianum, qui ſunt plurales. </s>
            <s xml:id="echoid-s1115" xml:space="preserve">ſunt enim in Mundo infiniti Horizontes, & </s>
            <s xml:id="echoid-s1116" xml:space="preserve">Meridia@i; </s>
            <s xml:id="echoid-s1117" xml:space="preserve">ſingula enim terræ lo-
              <lb/>
            ca, habent pro rium Horizontem, vt in præcedenti figura tria loca G H I. </s>
            <s xml:id="echoid-s1118" xml:space="preserve">tres habent diuerſos Horizon-
              <lb/>
            tes; </s>
            <s xml:id="echoid-s1119" xml:space="preserve">vnde quotloca, tot Horizontes. </s>
            <s xml:id="echoid-s1120" xml:space="preserve">ſimiliter innumeri ſunt Meridiani, quia quælibet loca, quorum alie
              <lb/>
            alijs ſunt Orientaliora, aut Occidentaliora ſub diuerſis exiſtunt Meridianis. </s>
            <s xml:id="echoid-s1121" xml:space="preserve">Et quamuis in Sphæra mate-
              <lb/>
            ria@@ſit vnicus tantum Horizon, ac Meridianus, ij tamen Horizontes, ac Meridianos omnes poſi biles pro
              <lb/>
            varia Sphæræ conſti@utione repræſentare poſſunt: </s>
            <s xml:id="echoid-s1122" xml:space="preserve">at verò eſt vnus tantum in Mundo Zodiacus, vnuſq; </s>
            <s xml:id="echoid-s1123" xml:space="preserve">tan
              <lb/>
            tum Æquatori, & </s>
            <s xml:id="echoid-s1124" xml:space="preserve">cæteri omnes vnici in Mundo ſunt.</s>
            <s xml:id="echoid-s1125" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1126" xml:space="preserve">8 Notandum eſt tandem, centrum, & </s>
            <s xml:id="echoid-s1127" xml:space="preserve">polum alicuius Circuli in Sphæra deſcripti, inuicem deferre. </s>
            <s xml:id="echoid-s1128" xml:space="preserve">po-
              <lb/>
            lus enim eſt punctum in ſuperficie ſphærica a quo Circuli peripheria æquidiſtat, ſeu a quo omnes lineæ du-
              <lb/>
            ctæ ad eam ſu tæquales: </s>
            <s xml:id="echoid-s1129" xml:space="preserve">& </s>
            <s xml:id="echoid-s1130" xml:space="preserve">ex quo tanquam centro Circulus deſcribi poteſt: </s>
            <s xml:id="echoid-s1131" xml:space="preserve">ſic polus Mundi arcticus eſt po
              <lb/>
            @us non ſolũ Æquatoris, ſed etiam Tropici Cancri; </s>
            <s xml:id="echoid-s1132" xml:space="preserve">& </s>
            <s xml:id="echoid-s1133" xml:space="preserve">Circulus polaris. </s>
            <s xml:id="echoid-s1134" xml:space="preserve">ſupra aliter definitus eſt polus, </s>
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