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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page |< < (Fo.56.) of 140 > >|
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          <p>
            <s xml:id="echoid-s2528" xml:space="preserve">
              <pb o="Fo.56." file="117" n="117" rhead="RVM DESCRIPTIO."/>
            c, quod declinat à linea media. </s>
            <s xml:id="echoid-s2529" xml:space="preserve">40. </s>
            <s xml:id="echoid-s2530" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s2531" xml:space="preserve">ipſum, a. </s>
            <s xml:id="echoid-s2532" xml:space="preserve">60. </s>
            <s xml:id="echoid-s2533" xml:space="preserve">demùm b 75. </s>
            <s xml:id="echoid-s2534" xml:space="preserve">Nu
              <lb/>
            mero igitur hos gradus in circulo ſecundo in plano deſcripto ex, e,
              <lb/>
            centro: </s>
            <s xml:id="echoid-s2535" xml:space="preserve">& </s>
            <s xml:id="echoid-s2536" xml:space="preserve">per eos duco ex, e, lineas, quæ ſecabunt priores. </s>
            <s xml:id="echoid-s2537" xml:space="preserve">Notandum
              <lb/>
            igitur eſt, quæ lineæ ſint eiuſdem loci, nam vbi ſe mutuo ſecant, ibi
              <lb/>
            eſt punctus eius loci. </s>
            <s xml:id="echoid-s2538" xml:space="preserve">Diuido nunc per circinum lineam, d, e. </s>
            <s xml:id="echoid-s2539" xml:space="preserve">in. </s>
            <s xml:id="echoid-s2540" xml:space="preserve">10.
              <lb/>
            </s>
            <s xml:id="echoid-s2541" xml:space="preserve">partes, per quas dimetior diſtantias inter duas quaſque ſectiones ſiue
              <lb/>
            puncta locorum, & </s>
            <s xml:id="echoid-s2542" xml:space="preserve">quot de huiuſmodi partibus continent, multi-
              <lb/>
            plico per. </s>
            <s xml:id="echoid-s2543" xml:space="preserve">300. </s>
            <s xml:id="echoid-s2544" xml:space="preserve">productum rurſus diuido per. </s>
            <s xml:id="echoid-s2545" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2546" xml:space="preserve">& </s>
            <s xml:id="echoid-s2547" xml:space="preserve">apparet mihi ta-
              <lb/>
            lium duorum locorum vera diſtantia. </s>
            <s xml:id="echoid-s2548" xml:space="preserve">Vt quoniã inter ipſum, a, & </s>
            <s xml:id="echoid-s2549" xml:space="preserve">c,
              <lb/>
            ſunt. </s>
            <s xml:id="echoid-s2550" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2551" xml:space="preserve">partes huiuſinodi, dico per regulam proportionum. </s>
            <s xml:id="echoid-s2552" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2553" xml:space="preserve">dant
              <lb/>
            300. </s>
            <s xml:id="echoid-s2554" xml:space="preserve">quantum dant. </s>
            <s xml:id="echoid-s2555" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2556" xml:space="preserve">facit 180. </s>
            <s xml:id="echoid-s2557" xml:space="preserve">quæ eſt diſtãtia recta inter, a, c. </s>
            <s xml:id="echoid-s2558" xml:space="preserve">Eadẽ
              <lb/>
            ratione licet ſcire diſtantias d.</s>
            <s xml:id="echoid-s2559" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2560" xml:space="preserve">| d.</s>
            <s xml:id="echoid-s2561" xml:space="preserve">a. </s>
            <s xml:id="echoid-s2562" xml:space="preserve">| d.</s>
            <s xml:id="echoid-s2563" xml:space="preserve">b. </s>
            <s xml:id="echoid-s2564" xml:space="preserve">| a.</s>
            <s xml:id="echoid-s2565" xml:space="preserve">b. </s>
            <s xml:id="echoid-s2566" xml:space="preserve">| c.</s>
            <s xml:id="echoid-s2567" xml:space="preserve">b. </s>
            <s xml:id="echoid-s2568" xml:space="preserve">| e.</s>
            <s xml:id="echoid-s2569" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2570" xml:space="preserve">| e.</s>
            <s xml:id="echoid-s2571" xml:space="preserve">a. </s>
            <s xml:id="echoid-s2572" xml:space="preserve">& </s>
            <s xml:id="echoid-s2573" xml:space="preserve">e.</s>
            <s xml:id="echoid-s2574" xml:space="preserve">g.</s>
            <s xml:id="echoid-s2575" xml:space="preserve">|
              <lb/>
            Atq; </s>
            <s xml:id="echoid-s2576" xml:space="preserve">hic eſt tertius modus deſcribendi regiones longè omniũ facil-
              <lb/>
            limus, quia tantum opus eſt circulo diuiſo in 360. </s>
            <s xml:id="echoid-s2577" xml:space="preserve">partes cum indice. </s>
            <s xml:id="echoid-s2578" xml:space="preserve">
              <lb/>
            Neque alicuius alterius rei, nempe Compaſſus, Meridiei, Latitudinis
              <lb/>
            Longitutinis aut diſtantiæ regionũ vſus aut opera requiritur. </s>
            <s xml:id="echoid-s2579" xml:space="preserve">Præ-
              <lb/>
            terea adeò certus eſt, vt in regione. </s>
            <s xml:id="echoid-s2580" xml:space="preserve">50. </s>
            <s xml:id="echoid-s2581" xml:space="preserve">aut. </s>
            <s xml:id="echoid-s2582" xml:space="preserve">60. </s>
            <s xml:id="echoid-s2583" xml:space="preserve">aut. </s>
            <s xml:id="echoid-s2584" xml:space="preserve">100. </s>
            <s xml:id="echoid-s2585" xml:space="preserve">etiã miliarium
              <lb/>
            Germanicorum nullam quiſquã percepturus ſit erroris notã. </s>
            <s xml:id="echoid-s2586" xml:space="preserve">Obſer
              <lb/>
            uandum aũt, vt ſingula regionis loca bis in conſpectum veniant, ſem
              <lb/>
            per´que dum aliò te confers, inſtrumẽti diameter ad locum dirigatur
              <lb/>
            quẽ antea perluſtraſti, aut quẽ velis mox accedere. </s>
            <s xml:id="echoid-s2587" xml:space="preserve">Sic´q; </s>
            <s xml:id="echoid-s2588" xml:space="preserve">ſingulas vr-
              <lb/>
            bes, vicos, pagos, turres, domos, alia´que inſcribere (ſi libet) poteris. </s>
            <s xml:id="echoid-s2589" xml:space="preserve">
              <lb/>
            Quemadmodum nos in præcedenti figura depinximus ob oculos.</s>
            <s xml:id="echoid-s2590" xml:space="preserve"/>
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        <div xml:id="echoid-div126" type="section" level="1" n="117">
          <head xml:id="echoid-head129" style="it" xml:space="preserve">¶ QVARTVS MODVS PER DISTAN-
            <lb/>
          tiam & angulum poſitionis. CAP. VI.</head>
          <p>
            <s xml:id="echoid-s2591" xml:space="preserve">HIc modus omnino etiam facilis eſt, niſi qaòd dua-
              <lb/>
            rum rerum cognitione ſit opus. </s>
            <s xml:id="echoid-s2592" xml:space="preserve">Q@ibus per præ-
              <lb/>
            cedentia cognitis, ponatur primus locus in char-
              <lb/>
            ta ſecundum rei exigentiam, hoc eſt, ſi ſit medius
              <lb/>
            regionis, ponatur in medio chartæ: </s>
            <s xml:id="echoid-s2593" xml:space="preserve">ſin aliter, ſe-
              <lb/>
            cundũ hoc ſtatuatur. </s>
            <s xml:id="echoid-s2594" xml:space="preserve">Ex hoc igitur centro deſcii-
              <lb/>
            batur circulus diuiſus in. </s>
            <s xml:id="echoid-s2595" xml:space="preserve">360. </s>
            <s xml:id="echoid-s2596" xml:space="preserve">gradus poſitionum,
              <lb/>
            quo facto ducantur lineæ poſitionum circumiacentium locorũ ex
              <lb/>
            centro, quemadmodum paulò antè expoſuimus. </s>
            <s xml:id="echoid-s2597" xml:space="preserve">Poſt hæc deſcriba-
              <lb/>
            tur ſcala miliarium pro magnitudine chartæ & </s>
            <s xml:id="echoid-s2598" xml:space="preserve">regionis deſcribendę.
              <lb/>
            </s>
            <s xml:id="echoid-s2599" xml:space="preserve">Ex hac ſcala capiatur cuiuſque loci diſtantia, & </s>
            <s xml:id="echoid-s2600" xml:space="preserve">poſito vno pede cir-
              <lb/>
            cini in centro, altero fiat punctũ pro tali loco. </s>
            <s xml:id="echoid-s2601" xml:space="preserve">Si nunc libet pergere,
              <lb/>
            Accede vnũ locorũ prius deſcriptorum, atq; </s>
            <s xml:id="echoid-s2602" xml:space="preserve">inde rurſus accipe alio-
              <lb/>
            rum angulos poſitionũ & </s>
            <s xml:id="echoid-s2603" xml:space="preserve">diſtantias. </s>
            <s xml:id="echoid-s2604" xml:space="preserve">Et alio circulo in charta deſcri-
              <lb/>
            pto circa punctũ huius loci, deſcribe diametrũ eius, qui quidẽ reſpon
              <lb/>
            det Auſtro & </s>
            <s xml:id="echoid-s2605" xml:space="preserve">Aquiloni, ita vt ſit parallela diametro prioris, aut ea-
              <lb/>
            dem continua, ſi ſit in eadẽ linea meridiana: </s>
            <s xml:id="echoid-s2606" xml:space="preserve">deinde circulo diuiſo vt
              <lb/>
            prius, age cũ lineis poſitionũ & </s>
            <s xml:id="echoid-s2607" xml:space="preserve">diſtantijs circũiacentiũ, vt iam </s>
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