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 Notes

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        <div xml:id="echoid-div567" type="section" level="1" n="419">
          <pb o="13" file="0267" n="272" rhead="DE HOROLOGIIS."/>
        </div>
        <div xml:id="echoid-div568" type="section" level="1" n="420">
          <head xml:id="echoid-head442" style="it" xml:space="preserve">De Guomone, ſeu ſtylo figendo.</head>
          <p>
            <s xml:id="echoid-s20865" xml:space="preserve">1 PRopriè loquendo ſtyli longitudo tanta eſt, quanta eſt diſtantia inter verticem M. </s>
            <s xml:id="echoid-s20866" xml:space="preserve">axis, & </s>
            <s xml:id="echoid-s20867" xml:space="preserve">parie-
              <lb/>
            tem; </s>
            <s xml:id="echoid-s20868" xml:space="preserve">ſeu lineæ normali à vertice axis ad parietem. </s>
            <s xml:id="echoid-s20869" xml:space="preserve">Quamobrem è re erit punctũ illud, in quod
              <lb/>
            hęc normalis cadit, notare; </s>
            <s xml:id="echoid-s20870" xml:space="preserve">cadit autem ſemper in lineam horizontalem, vt ſupra dictum eſt, & </s>
            <s xml:id="echoid-s20871" xml:space="preserve">ab eo
              <lb/>
            in linea horizontali notare lineam rectam æqualem huic diſtantiæ, ſeu vero ſtylo, eique adſcribere
              <lb/>
            hæc verba (longitudo ſtyli,) vt ſi accidat aliquando ſtylum à ſuo ſitu detorquerr
              <unsure/>
            , poſſit per eam reſti-
              <lb/>
            r
              <unsure/>
            ui ad priſtinum. </s>
            <s xml:id="echoid-s20872" xml:space="preserve">Illud autem punctum ſic inuenies. </s>
            <s xml:id="echoid-s20873" xml:space="preserve">Si murus ſit planus, & </s>
            <s xml:id="echoid-s20874" xml:space="preserve">ad horizontem rectus, ex
              <lb/>
            vertice M. </s>
            <s xml:id="echoid-s20875" xml:space="preserve">notentur filo extenſo tria in muro puncta eadem ſemper fili longitudine retenta; </s>
            <s xml:id="echoid-s20876" xml:space="preserve">nam
              <lb/>
            horum trium punctorum centrum per ſchol. </s>
            <s xml:id="echoid-s20877" xml:space="preserve">prop. </s>
            <s xml:id="echoid-s20878" xml:space="preserve">5. </s>
            <s xml:id="echoid-s20879" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s20880" xml:space="preserve">4. </s>
            <s xml:id="echoid-s20881" xml:space="preserve">Euclidis, erit locus ſtyli proprius. </s>
            <s xml:id="echoid-s20882" xml:space="preserve">Quod ſi
              <lb/>
            murus non ſit ſatis planus, aut ſit inclinatus, ineptus erit huic modo, quare opus erit libella, amuſſi, & </s>
            <s xml:id="echoid-s20883" xml:space="preserve">
              <lb/>
            perpendiculo. </s>
            <s xml:id="echoid-s20884" xml:space="preserve">Si igitur inibi figatur ſtylus (qui ferreus ſit oportet) tantæ longitudinis, vt apex eius
              <lb/>
            congruatapici M. </s>
            <s xml:id="echoid-s20885" xml:space="preserve">axis, vel puncto illi vbi erat M. </s>
            <s xml:id="echoid-s20886" xml:space="preserve">rectè habebit; </s>
            <s xml:id="echoid-s20887" xml:space="preserve">horaſq; </s>
            <s xml:id="echoid-s20888" xml:space="preserve">& </s>
            <s xml:id="echoid-s20889" xml:space="preserve">alia, apice ſuæ vmbræ re-
              <lb/>
            ctè indicabit. </s>
            <s xml:id="echoid-s20890" xml:space="preserve">Dicitur autem talis ſtylus Gnomon, eo quod normalis ſit ad parietem; </s>
            <s xml:id="echoid-s20891" xml:space="preserve">norma enim
              <lb/>
              <note position="right" xlink:label="note-0267-01" xlink:href="note-0267-01a" xml:space="preserve">Gnomo@@
                <lb/>
              quid.</note>
            Græcis dicitur Gnomon.</s>
            <s xml:id="echoid-s20892" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20893" xml:space="preserve">2 Rectè porrò vertex vmbræ eius horas, & </s>
            <s xml:id="echoid-s20894" xml:space="preserve">reliqua indicabit; </s>
            <s xml:id="echoid-s20895" xml:space="preserve">quia ſicut M. </s>
            <s xml:id="echoid-s20896" xml:space="preserve">apex axis referebat
              <lb/>
              <note position="right" xlink:label="note-0267-02" xlink:href="note-0267-02a" xml:space="preserve">Ratio.</note>
            centrum mundi, ita nunc apex ſtyli cum ſit loco eius idem referet: </s>
            <s xml:id="echoid-s20897" xml:space="preserve">& </s>
            <s xml:id="echoid-s20898" xml:space="preserve">ſicut filum inde extenſum vſq;
              <lb/>
            </s>
            <s xml:id="echoid-s20899" xml:space="preserve">ad murum referebat radium Solis in muri punctum terminatum, ſit apex vmbræ ſtyli in idem pun-
              <lb/>
            ctum parietis accidet; </s>
            <s xml:id="echoid-s20900" xml:space="preserve">radius enim Solis tangens apicem ſtyli eſt comes indiuiduus vmbræ illius.</s>
            <s xml:id="echoid-s20901" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20902" xml:space="preserve">3 Si ſtylo figendo Inſtrumentum ſit impedimento, amouendum eſt: </s>
            <s xml:id="echoid-s20903" xml:space="preserve">quod ſi timeas ne amoto
              <lb/>
            Inſtrumento amittas verum locum verticis M. </s>
            <s xml:id="echoid-s20904" xml:space="preserve">adhibeas tale remedium. </s>
            <s xml:id="echoid-s20905" xml:space="preserve">In ſublimi loco parietis af-
              <lb/>
            ſige baculum quempiam, ex quo liberè deſcendat perpendiculum deſinens exactè in pũctum M. </s>
            <s xml:id="echoid-s20906" xml:space="preserve">nam
              <lb/>
            amoto poſtea Inſtrumento ſtylus commodè figi poterit. </s>
            <s xml:id="echoid-s20907" xml:space="preserve">Neq; </s>
            <s xml:id="echoid-s20908" xml:space="preserve">verò neceſſe eſt ſtylum eius eſſe lon-
              <lb/>
            gitudinis, quam ei antea definiuimus, immo ſolet fieri longior, altiuſque propterea figi, dummodo
              <lb/>
            apex eius puncto M. </s>
            <s xml:id="echoid-s20909" xml:space="preserve">congruat; </s>
            <s xml:id="echoid-s20910" xml:space="preserve">ſolus enim apex eſt qui indicat. </s>
            <s xml:id="echoid-s20911" xml:space="preserve">Fitautem longior, vt longiorem quo-
              <lb/>
            que vmbram, ac proinde vi
              <unsure/>
            ſibiliorem efficiat.</s>
            <s xml:id="echoid-s20912" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20913" xml:space="preserve">4 Stylo collocato delenda ſunt omnia lineamenta, quæſunt tam ſupra lineam horizontalem,
              <lb/>
            quam extra tropicos, tanquam inutilia: </s>
            <s xml:id="echoid-s20914" xml:space="preserve">actum demum lineæ coloribus depingendæ. </s>
            <s xml:id="echoid-s20915" xml:space="preserve">Si ſolæ adſint
              <lb/>
            Italicæ, eæ nigro colore, ſi vero vna adſint etiam Aſtronomicæ, & </s>
            <s xml:id="echoid-s20916" xml:space="preserve">Babylonicæ diſtinguendæ ſunt
              <lb/>
            colorum varietate: </s>
            <s xml:id="echoid-s20917" xml:space="preserve">paralelli verò ſignorum, & </s>
            <s xml:id="echoid-s20918" xml:space="preserve">arcuum diurnorum meridiana, æquinoctialis diuerſo
              <lb/>
            ab alijs pariter colore tingendæ ſunt. </s>
            <s xml:id="echoid-s20919" xml:space="preserve">Adduntur aliquando characteres ſignorum ſuis paralellis ſi-
              <lb/>
            cuti horarium indicat. </s>
            <s xml:id="echoid-s20920" xml:space="preserve">Numeri adſcribendi ſunt lineis horarijs ad eam partem, in qua lineæ ſunt la-
              <lb/>
            xiores. </s>
            <s xml:id="echoid-s20921" xml:space="preserve">Tandem in angulis vacuis addi ſolet ſententia quæpiam moralis de breuitate vitæ, aut fu-
              <lb/>
            ga temporis. </s>
            <s xml:id="echoid-s20922" xml:space="preserve">Volat irreuocabile tempus. </s>
            <s xml:id="echoid-s20923" xml:space="preserve">Dies noſtri ſicut vmbra prætereunt. </s>
            <s xml:id="echoid-s20924" xml:space="preserve">Puluis, & </s>
            <s xml:id="echoid-s20925" xml:space="preserve">vmbra
              <lb/>
            ſumus, & </s>
            <s xml:id="echoid-s20926" xml:space="preserve">ſimilia.</s>
            <s xml:id="echoid-s20927" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div571" type="section" level="1" n="421">
          <head xml:id="echoid-head443" style="it" xml:space="preserve">Vſus deſcripti Horologij.</head>
          <p>
            <s xml:id="echoid-s20928" xml:space="preserve">1 PRæcipua eius vtilitas eſt horas indicare, vt propterea Horologium denominetur. </s>
            <s xml:id="echoid-s20929" xml:space="preserve">eam namque
              <lb/>
            horam indicat adeſſe, aut labi, quam vmbræ vertex propius attingit.</s>
            <s xml:id="echoid-s20930" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20931" xml:space="preserve">2 Indicat eodem vmbræ vertice horam meridianam.</s>
            <s xml:id="echoid-s20932" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20933" xml:space="preserve">3 Si adſint arcus diurni, indicat per eos quantitatem diei. </s>
            <s xml:id="echoid-s20934" xml:space="preserve">Horam ortus, & </s>
            <s xml:id="echoid-s20935" xml:space="preserve">occaſus.</s>
            <s xml:id="echoid-s20936" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20937" xml:space="preserve">4 Aliquando ſine paralellis, ſed tantum ex loco in linea horizontali notato, in quem cadit vmbra
              <lb/>
            Sole oriente, innoteſcit hora ortus, & </s>
            <s xml:id="echoid-s20938" xml:space="preserve">conſequenter reliqua.</s>
            <s xml:id="echoid-s20939" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20940" xml:space="preserve">5 Indicat vmbra alterum tropicorum percurrente, Solem illum cũdem percurrere, eſſeque Sol-
              <lb/>
            ſtitium, aut Æſtiuum, aut Hyemale. </s>
            <s xml:id="echoid-s20941" xml:space="preserve">Æquinoctium vero fieri percurrente lineam æquinoctialem.</s>
            <s xml:id="echoid-s20942" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20943" xml:space="preserve">6 Si adſint arcus ſignorum cum ſuis characteribus, manifeſtabit in quo ſigno Zodiaci, atq; </s>
            <s xml:id="echoid-s20944" xml:space="preserve">etiam
              <lb/>
            in quanta eius parte Sol verſetur.</s>
            <s xml:id="echoid-s20945" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div572" type="section" level="1" n="422">
          <head xml:id="echoid-head444" style="it" xml:space="preserve">De alio Horario Cylindrico. Cap. III.</head>
          <p>
            <s xml:id="echoid-s20946" xml:space="preserve">SIcuti ſuperius conſtruximus Horarium in plano planum; </s>
            <s xml:id="echoid-s20947" xml:space="preserve">ita nunc alterum in concauo Cylindrico
              <lb/>
            conſtruemus, cylindricumq; </s>
            <s xml:id="echoid-s20948" xml:space="preserve">dicemus. </s>
            <s xml:id="echoid-s20949" xml:space="preserve">quod nihil aliud eſt, quã portio Horologij deſcripti in con-
              <lb/>
            cauo cilindri continens tres tantum horas Italicam, Aſtronomicam, Babylonicam. </s>
            <s xml:id="echoid-s20950" xml:space="preserve">quæ inquam por-
              <lb/>
            tio ſupponitur tangere ſpæram mundi in ęquatore; </s>
            <s xml:id="echoid-s20951" xml:space="preserve">axemq; </s>
            <s xml:id="echoid-s20952" xml:space="preserve">hui
              <unsure/>
            us cilindri eſſe eundem cum axe mun-
              <lb/>
            di. </s>
            <s xml:id="echoid-s20953" xml:space="preserve">Quare latus cylindri@, quod coincidet cum linea Aſtronomica erit duplex tangens maximę decli-
              <lb/>
            nationis, acproinde eadem quam Aſtronomica in horario plano. </s>
            <s xml:id="echoid-s20954" xml:space="preserve">Huius imaginem infra poſitam
              <lb/>
            nunc intuere in figura 13. </s>
            <s xml:id="echoid-s20955" xml:space="preserve">in qua linea menta ſunt ſimilia lineamentis horarij plani. </s>
            <s xml:id="echoid-s20956" xml:space="preserve">linea G B K. </s>
            <s xml:id="echoid-s20957" xml:space="preserve">eſt
              <lb/>
              <note position="right" xlink:label="note-0267-03" xlink:href="note-0267-03a" xml:space="preserve">Figura
                <lb/>
              13.</note>
            Italica I B C. </s>
            <s xml:id="echoid-s20958" xml:space="preserve">Aſtronomica H B I. </s>
            <s xml:id="echoid-s20959" xml:space="preserve">Babylonica decuſſantes ſemutuo bifariam in B. </s>
            <s xml:id="echoid-s20960" xml:space="preserve">vti ſupra. </s>
            <s xml:id="echoid-s20961" xml:space="preserve">lineæ
              <lb/>
            tranſuerſales ſunt paralelli ſignorum, & </s>
            <s xml:id="echoid-s20962" xml:space="preserve">arcum hor. </s>
            <s xml:id="echoid-s20963" xml:space="preserve">10. </s>
            <s xml:id="echoid-s20964" xml:space="preserve">& </s>
            <s xml:id="echoid-s20965" xml:space="preserve">14. </s>
            <s xml:id="echoid-s20966" xml:space="preserve">Reliqua ſuo loco patebunt.</s>
            <s xml:id="echoid-s20967" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s20968" xml:space="preserve">Neque vero lector exiſtimet hoc noſtrum horarium cylindricum eſſe idem cum eo, quodantea
              <lb/>
            circumterebatur, quodque erat portio faſciæ cylindricæ Zonam torridam referentis cum </s>
          </p>
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