Apian, Petrus, Cosmographia

Table of contents

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[111.] DE DESCRIPTIONE regionis alicuius in plano, incognitis latitudine, longitud. & diſtantia. CAP. I.
Page: 108
[112.] ¶ Figura præcedens hæc demonſtrat ad oculum.
Page: 111 (Fo.53.)
[113.] ¶ DE PINGENDA CHARTA, COGNI-ta ſola diſtantia locorum. # Cap. 11.
Page: 111 (Fo.53.)
[114.] DE INVENIENDA VERA DISTAN tia loci viſi quantumcunq{ue} etiam diſtet. Cap. III.
Page: 113 (Fo.54.)
[115.] ¶ Cap. IIII. Docet idem per ſcalam Hypſome-tram aut Geometricam inuenire.
Page: 113 (Fo.54.)
[116.] ¶ DVOBVS VEL TRIBVS VISIS LOCIS, quomodo per angulos poſitionum rectæ eorum diſtantiæ ſint inuenien-dæ, etiam ſi in nullo eorum præſens ſis. Et qua ratione facillimè regio deſcribi poſsit ex ipſis, abſq; nautico Compaſſo, aut line æ meridianæ obſeruatione. CAP. V.
Page: 114
[117.] ¶ QVARTVS MODVS PER DISTAN-tiam & angulum poſitionis. CAP. VI.
Page: 117 (Fo.56.)
[118.] DE LONGITV DINIS DIFFEREN-tia cognoſcenda ex latitudinis differentia & recta diſtantia. Cap. VII.
Page: 119 (Fo.57.)
[119.] ¶ Exempli gratia.
Page: 119 (Fo.57.)
[120.] ¶ Quæ verò hic ex Tabulis ſinuum adduci poſſent, conſultò prætermitto, quòd ad inſtitutã Coſmographiæ methodũ nõ videantur pertinere, ſed altioris eſſe conſider ationis.
Page: 120
[121.] Locorum deſcriptionis Finis.
Page: 120
[122.] VSVS ANNVLI Aſtronomici. GEMMA FRISIO MA-THE MATICO AVTORE.
Page: 121 (Fo.58.)
[123.] MODIS OMNIBVS ORNATISS. ac verè Nobili D. Ioanni Khreutter, Sereniſſ. Reginæ Hun-gariæ Secretario, Gemma Friſius S. D.
Page: 122
[124.] VSVS ANNVLI Aſtronomici per Gem. Friſium. DECLARATIO PARTIVM. CAP. 1.
Page: 123 (Fo.59.)
[125.] ¶ De vſu annuli, primum´que loci Solis inuentione. CAP. II.
Page: 123 (Fo.59.)
[126.] ¶ Eleuationem poli quomodo inuenias. Cap. III.
Page: 124
[127.] ¶ Horæ inuentio inter diu. CAP. IIII.
Page: 125 (Fo.60)
[128.] ¶ An ſit ante meridiem, an poſt. CAP. V.
Page: 125 (Fo.60)
[129.] ¶ Horæ Nocturnæ inueſtigatio. CAP. VI.
Page: 126
[130.] ¶ Qua ratione horæ nocturnæ facilius inue-niantur. CAP. VII.
Page: 127 (Fo.61)
[131.] ¶ De ortu Solis & quantitate diei. CAP. VIII.
Page: 127 (Fo.61)
[132.] ¶ De horis inæqualib. ſiue Planetarum. CAP. IX.
Page: 128
[133.] ¶ Quota ſit hora ab ortu vel occaſu Solis, qui mos Italiæ ferè eſt. CAP. X.
Page: 128
[134.] ¶ Plagas mundi quomodo inuenias. Cap. XI.
Page: 129 (Fo.62.)
[135.] ¶ De altitudine Solis & Stellarum. Cap. XII.
Page: 129 (Fo.62.)
[136.] ¶ A ltitudinum dimenſio per vmbras. Cap. XIII.
Page: 130
[137.] ¶ De altitudine per ſolum viſum. CAP. XIIII.
Page: 131 (Fo.63.)
[138.] ¶ De altitudinibus rerum inacceſsibilium. Cap. XV.
Page: 132
[139.] ¶ Facilius idem. CAP. XVI.
Page: 133 (Fo.64.)
[140.] ¶ De longitudine rerum in ædito ſitarum. Caput. XVII.
Page: 133 (Fo.64.)
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          <pb file="120" n="120" rhead="REG. ET LOCO. DESCRI."/>
          <note position="right" xml:space="preserve">
            <lb/>
          # Integra per integra, proueniunt integra.
            <lb/>
          # Integra per minuta, fit numerus cuiꝰ vnitas valet. 60 \\ integra, ergo multiplica eũ per. 60. fiunt integra.
            <lb/>
          # Minuta per minuta, proueniunt integra.
            <lb/>
          # Minuta per integra, proueniunt minuta.
            <lb/>
          Si diuido # Minuta per ſecunda, prouenit numerus quem mul- \\ tiplica per. 60. erunt integra.
            <lb/>
          # Secunda per integra, proueniunt ſecunda.
            <lb/>
          # Secunda per minuta, proueniũt minuta.
            <lb/>
          # Secunda per ſecunda, proueniunt integra.
            <lb/>
          # Simili modo de alijs minutis.
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div129" type="section" level="1" n="120">
          <head xml:id="echoid-head132" style="it" xml:space="preserve">¶ Quæ verò hic ex Tabulis ſinuum adduci poſſent, conſultò
            <lb/>
          prætermitto, quòd ad inſtitutã Coſmographiæ methodũ nõ
            <lb/>
          videantur pertinere, ſed altioris eſſe conſider ationis.</head>
          <p>
            <s xml:id="echoid-s2751" xml:space="preserve">SEd quorſum (inquiet aliquis) pertinet cognitio huius
              <lb/>
            differentiæ longitudinis? </s>
            <s xml:id="echoid-s2752" xml:space="preserve">Hac cognita, diſcetur lon-
              <lb/>
            gitudo alicuius loci ignota, módò alterius ſit nota. </s>
            <s xml:id="echoid-s2753" xml:space="preserve">Si
              <lb/>
            enim differentiã hanc adijcias, vel adimas longitudini
              <lb/>
            notæ, prodibit longitudo vera prius incognita. </s>
            <s xml:id="echoid-s2754" xml:space="preserve">Di-
              <lb/>
            co autem adijcias vel adimas: </s>
            <s xml:id="echoid-s2755" xml:space="preserve">nam ſi locus, cuius longitudo eſt in-
              <lb/>
            cognita, ſit occidentalior altero, differentia eſt adimenda longitu-
              <lb/>
            dini notæ: </s>
            <s xml:id="echoid-s2756" xml:space="preserve">econtra adijcienda eſt, ſi ſit oriẽtalior, tum demum exi-
              <lb/>
            bit longitudo quæſita.</s>
            <s xml:id="echoid-s2757" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2758" xml:space="preserve">HÆC ſunt ferè quę mihi videbãtur nõ incõmodè huic
              <lb/>
            libello Apiani adijcienda, cùm quia eadem eſt materia,
              <lb/>
            tum etiã hic meus ſine illo, aut illius fine hoc meo im-
              <lb/>
            perfectus videri potuiſſet. </s>
            <s xml:id="echoid-s2759" xml:space="preserve">Verùm hoc vnũ admonuiſſe
              <lb/>
            volo, quicquid hic de chartis planis deſcribendis dixi
              <lb/>
            mus, totum id (ſi ad minutum vſq; </s>
            <s xml:id="echoid-s2760" xml:space="preserve">examinari debeat) imperfectũ
              <lb/>
            eſſe. </s>
            <s xml:id="echoid-s2761" xml:space="preserve">Nun quam enim in plano poterit deſcriptio fieri regionũ, quę
              <lb/>
            ex omni parte ſit completa, etiam ſi ipſemet Ptolemæus redeat,
              <lb/>
            nam aut longitudo omittetur regionum, aut diſtantia non ſeruabi
              <lb/>
            tur, aut ſitus negligetur, aut etiam duo horum: </s>
            <s xml:id="echoid-s2762" xml:space="preserve">ratio eſt, quòd nul-
              <lb/>
            la ſit cognatio ſphæræ ad planũ, quemadmodũ nec perfecti & </s>
            <s xml:id="echoid-s2763" xml:space="preserve">im
              <lb/>
            perfecti, aut finiti & </s>
            <s xml:id="echoid-s2764" xml:space="preserve">infiniti. </s>
            <s xml:id="echoid-s2765" xml:space="preserve">Verùm quum in prouincia. </s>
            <s xml:id="echoid-s2766" xml:space="preserve">50. </s>
            <s xml:id="echoid-s2767" xml:space="preserve">vel. </s>
            <s xml:id="echoid-s2768" xml:space="preserve">100
              <lb/>
            miliariũ hic error nullius momẽti efficiatur, non adeò curandum
              <lb/>
            eſt. </s>
            <s xml:id="echoid-s2769" xml:space="preserve">Sed ſi totam Europã quis
              <unsure/>
            per hos modos deſcribere velit, com-
              <lb/>
            modiſſime hoc & </s>
            <s xml:id="echoid-s2770" xml:space="preserve">certiſſime in ſphærico efficiet corpore, quod,
              <lb/>
            quum non ſit vulgarium, hic miſſum facio.</s>
            <s xml:id="echoid-s2771" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div130" type="section" level="1" n="121">
          <head xml:id="echoid-head133" xml:space="preserve">Locorum deſcriptionis Finis.</head>
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