Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

List of thumbnails

< >
51
51
52
52
53
53
54
54
55
55
56
56
57
57
58
58
59
59
60
60
< >
page |< < of 97 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div149" type="section" level="1" n="79">
          <p>
            <s xml:id="echoid-s5119" xml:space="preserve">
              <pb file="0068" n="68" rhead="GENVINVS VSVS"/>
            illas cluitates inde ſingulos dies bis idem punctũ in aſcendente, uno temporis momẽto.</s>
            <s xml:id="echoid-s5120" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div151" type="section" level="1" n="80">
          <head xml:id="echoid-head84" xml:space="preserve">PRONVNCIATVM LXVIII.</head>
          <p>
            <s xml:id="echoid-s5121" xml:space="preserve">Si quando duæ ciuitates, quarum cognitæ ſint latitudines & </s>
            <s xml:id="echoid-s5122" xml:space="preserve">longitudi-
              <lb/>
            nes, uel ſaltem differentia longitudinum, iam´ ex ſuperiori pronunciato in
              <lb/>
            uentum ſit, eas eodem momento quotidie ſemel aut bis unum habere aſcen-
              <lb/>
            dentem, punctum iam iſtud eclypticæ in aſcendente expedite indagare.</s>
            <s xml:id="echoid-s5123" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5124" xml:space="preserve">Superiori pronunciato cõmemoratũ per nos eſt, fieri interdũ, ut duo loca ſimul habe-
              <lb/>
            ant eodẽ inſtanti unũ aſcendentẽ, uno die ſemel aut bis, quod ſi ſemel accidat die natura-
              <lb/>
            li, & </s>
            <s xml:id="echoid-s5125" xml:space="preserve">locus qui Borealiorẽ latitudinẽ habet, ſit etiam orientalior, tũc principiũ ♑ in eo-
              <lb/>
            dem inſtanti iacet in utro´ horizonte. </s>
            <s xml:id="echoid-s5126" xml:space="preserve">Sed ſi locus, cuius latitudo Borealior eſt, fuerit
              <lb/>
            occidentalior eo cui cõparatur, principiũ ♋ in utro horizõte erit eodẽ momento. </s>
            <s xml:id="echoid-s5127" xml:space="preserve">At-
              <lb/>
            qui ſi cõtingit, ſicut ſuperius uiſum eſt, uno die duo puncta eclypticæ in duobus locis ſi-
              <lb/>
            mul eſſe in horizonte, tunc tibi propone numerũ comparandũ ex ſuperiori pronunciato
              <lb/>
              <note position="left" xlink:label="note-0068-01" xlink:href="note-0068-01a" xml:space="preserve">
                <emph style="it">Lateraliter</emph>
              </note>
            inuentũ, eius ſinum duc in ſinũ latitudinis minoris, & </s>
            <s xml:id="echoid-s5128" xml:space="preserve">productũ diuide in ſinum totum,
              <lb/>
            quotientẽ ſepone in locũ aliquẽ, unà cũ ſinu maximæ declinationis Solis, minorẽ duc in
              <lb/>
              <note position="left" xlink:label="note-0068-02" xlink:href="note-0068-02a" xml:space="preserve">
                <emph style="it">Areatim.</emph>
              </note>
            totum, ꝓductũ diuide in maiorem, arcũ quotientis ſubtrahe de 90. </s>
            <s xml:id="echoid-s5129" xml:space="preserve">& </s>
            <s xml:id="echoid-s5130" xml:space="preserve">reſiduũ mõſtrabit
              <lb/>
            tibi diſtantiam gradus aſcendentis à principio ♑, ſi tamẽ ciuitas iſta Borealior etiã ori-
              <lb/>
            entalior fuerit ſua cõpare, uel ab initio ♋, ſi fuerit occidentalior. </s>
            <s xml:id="echoid-s5131" xml:space="preserve">Eam diſtantiã ſi nume
              <lb/>
            res ſecũdum exigentiã rei à principio ♑ uel ♋, ſecundũ ordinẽ ſignorũ, terminus ipſius
              <lb/>
            ſiue finis dabit tibi punctũ eclypticæ in utro horizonte eodẽ temporis momẽto inuen
              <lb/>
              <note position="left" xlink:label="note-0068-03" xlink:href="note-0068-03a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſoopi.</emph>
              </note>
            tum. </s>
            <s xml:id="echoid-s5132" xml:space="preserve">?</s>
            <s xml:id="echoid-s5133" xml:space="preserve">? Exemplũ etiam hic dabimus, ut res fiat dilucidior, ne uideamur tan̈ in tene-
              <lb/>
            bris tantũ præceptionũ uerſari, nõ applicando ea ad uſum rei. </s>
            <s xml:id="echoid-s5134" xml:space="preserve">Propono ecce mibi iterũ
              <lb/>
            prius illud exemplũ, in quo locus alter notiſsimus ille habet in latitudine 48. </s>
            <s xml:id="echoid-s5135" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5136" xml:space="preserve">alter
              <lb/>
            38. </s>
            <s xml:id="echoid-s5137" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5138" xml:space="preserve">37. </s>
            <s xml:id="echoid-s5139" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5140" xml:space="preserve">& </s>
            <s xml:id="echoid-s5141" xml:space="preserve">ille quo occidentalior eſt, numerum igitur comparandum inueni eſ-
              <lb/>
            ſe 24. </s>
            <s xml:id="echoid-s5142" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5143" xml:space="preserve">34. </s>
            <s xml:id="echoid-s5144" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5145" xml:space="preserve">ſinum eius duco in ſinum complementi latitudinis minoris. </s>
            <s xml:id="echoid-s5146" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s5147" xml:space="preserve">78133.
              <lb/>
            </s>
            <s xml:id="echoid-s5148" xml:space="preserve">productũ diuido in ſinũ maximæ declinationis, ſi deinde arcũ quotientis ſubtraho à 90. </s>
            <s xml:id="echoid-s5149" xml:space="preserve">
              <lb/>
            remanent 35. </s>
            <s xml:id="echoid-s5150" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5151" xml:space="preserve">25. </s>
            <s xml:id="echoid-s5152" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5153" xml:space="preserve">quibus numeratis à principio ♋ (ſiquidẽ locus ille ad quem cõ
              <lb/>
            paratur alteri occidẽtalior eſt) ſecundũ ordinẽ ſignorũ finietur numerus ille in 5. </s>
            <s xml:id="echoid-s5154" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5155" xml:space="preserve">26
              <lb/>
            mi. </s>
            <s xml:id="echoid-s5156" xml:space="preserve">♌, qui & </s>
            <s xml:id="echoid-s5157" xml:space="preserve">aſcendens eſt uno temporis articulo utriuſ lociſeu ciuitatis.</s>
            <s xml:id="echoid-s5158" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div153" type="section" level="1" n="81">
          <head xml:id="echoid-head85" xml:space="preserve">PRONVNCIATVM LXIX.</head>
          <p>
            <s xml:id="echoid-s5159" xml:space="preserve">Quotidie ex altitudine & </s>
            <s xml:id="echoid-s5160" xml:space="preserve">Azimuth Solis eleuationem poli colligere.</s>
            <s xml:id="echoid-s5161" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5162" xml:space="preserve">Retulerit plurimũ pronũciatũ hoc diligenter obſeruare, ſiquidẽ ꝑeam quis eleuatio-
              <lb/>
            nem poli ſingulis diebus cognoſcere hoc modo. </s>
            <s xml:id="echoid-s5163" xml:space="preserve">Ex 39. </s>
            <s xml:id="echoid-s5164" xml:space="preserve">ꝓnunc. </s>
            <s xml:id="echoid-s5165" xml:space="preserve">inuentã habes diſtantiam
              <lb/>
            Solis in circulo maiori ab interſectiõe æquinoctialis & </s>
            <s xml:id="echoid-s5166" xml:space="preserve">horizõtis, ex 40. </s>
            <s xml:id="echoid-s5167" xml:space="preserve">aũt angulũ quẽ
              <lb/>
            facit circulus iſte maior cũ æquatore iuxta punctũ interſectionis horizõtis obliqui & </s>
            <s xml:id="echoid-s5168" xml:space="preserve">æ-
              <lb/>
            quatoris, angulũ hũc differentiæ cauſſa uoco angulũ ſuperiorẽ. </s>
            <s xml:id="echoid-s5169" xml:space="preserve">Deinde inueniſti ex 41.
              <lb/>
            </s>
            <s xml:id="echoid-s5170" xml:space="preserve">ꝓnunc. </s>
            <s xml:id="echoid-s5171" xml:space="preserve">angulũ quẽ idem ille circulus efficit cũ horizõte, etiã iuxta interſectionẽ æ quato
              <lb/>
            ris & </s>
            <s xml:id="echoid-s5172" xml:space="preserve">horizõtis, ſiquidẽ tres illi circuli maiores ibi cõueniunt, at is angulus dicetur infe
              <lb/>
            rior. </s>
            <s xml:id="echoid-s5173" xml:space="preserve">Quod ſi iã Sol fuerit in aliq̊ ſignorũ ſeptentrionaliũ, tunc ſubtrahe ſuperiorem an-
              <lb/>
            gulũ ab inferiori. </s>
            <s xml:id="echoid-s5174" xml:space="preserve">ſin aũt Sol in ſigno aliquo ſiet meridionali, inferiorẽ & </s>
            <s xml:id="echoid-s5175" xml:space="preserve">ſuperiorẽ angu-
              <lb/>
            los ſimul addendo cõiunges, & </s>
            <s xml:id="echoid-s5176" xml:space="preserve">ꝓueniet inde tibi altitudo æquatoris propoſitæ regionis
              <lb/>
            ſiue ciuitatis, cõplementũ ipſius erit altitudo poli quæſita, ſicut ex hoc exẽplo intelliges. </s>
            <s xml:id="echoid-s5177" xml:space="preserve">
              <lb/>
            ?</s>
            <s xml:id="echoid-s5178" xml:space="preserve">?Eſto ut in die & </s>
            <s xml:id="echoid-s5179" xml:space="preserve">hora intronizationis Auguſtæ obſeruarit quiſpiã ꝑ inſtrumentũ alti-
              <lb/>
            tudinẽ Solis 44. </s>
            <s xml:id="echoid-s5180" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5181" xml:space="preserve">52. </s>
            <s xml:id="echoid-s5182" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5183" xml:space="preserve">ſupra horizontẽ, Azimuth q̊ ipſius ab ortu æꝑnoctialis
              <lb/>
              <note position="left" xlink:label="note-0068-04" xlink:href="note-0068-04a" xml:space="preserve">EXEM.
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſcopi.</emph>
              </note>
            uerſus meridiẽ 21. </s>
            <s xml:id="echoid-s5184" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5185" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5186" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5187" xml:space="preserve">Sol aũt eo die & </s>
            <s xml:id="echoid-s5188" xml:space="preserve">hora fuit in 2. </s>
            <s xml:id="echoid-s5189" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5190" xml:space="preserve">26. </s>
            <s xml:id="echoid-s5191" xml:space="preserve">mi II, declinatio eius
              <lb/>
            ꝑ 5. </s>
            <s xml:id="echoid-s5192" xml:space="preserve">ꝓnunc. </s>
            <s xml:id="echoid-s5193" xml:space="preserve">eſt 20. </s>
            <s xml:id="echoid-s5194" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5195" xml:space="preserve">52. </s>
            <s xml:id="echoid-s5196" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5197" xml:space="preserve">Iam quæſiturus ego principio ſum quãtus ſit arcus, qui ex
              <lb/>
            ☉(sun) ad interſectionẽ æquatoris & </s>
            <s xml:id="echoid-s5198" xml:space="preserve">horizontis adduci poteſt, ſinũ cõplementi Azimuth. </s>
            <s xml:id="echoid-s5199" xml:space="preserve">ſ.
              <lb/>
            </s>
            <s xml:id="echoid-s5200" xml:space="preserve">93316. </s>
            <s xml:id="echoid-s5201" xml:space="preserve">duco in ſinũ cõplementi altitudinis. </s>
            <s xml:id="echoid-s5202" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s5203" xml:space="preserve">70875. </s>
            <s xml:id="echoid-s5204" xml:space="preserve">productũ diuido in ipſum totum,
              <lb/>
            quotientis erit 66137. </s>
            <s xml:id="echoid-s5205" xml:space="preserve">arcus illius quotientis de 90. </s>
            <s xml:id="echoid-s5206" xml:space="preserve">ſubductus, relinquet 48. </s>
            <s xml:id="echoid-s5207" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s5208" xml:space="preserve">36. </s>
            <s xml:id="echoid-s5209" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s5210" xml:space="preserve">
              <lb/>
            arcus ſcilicet quæſitus. </s>
            <s xml:id="echoid-s5211" xml:space="preserve">Poſt hæc inſuꝑ quæro angulũ ſuperiorẽ hoc modo, ſinũ declinati-
              <lb/>
            onis ☉(sun) 35447. </s>
            <s xml:id="echoid-s5212" xml:space="preserve">duco in totũ, ꝓductũ inde diuido in ſinũ arcus iam inuenti. </s>
            <s xml:id="echoid-s5213" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s5214" xml:space="preserve">75011. </s>
            <s xml:id="echoid-s5215" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>