Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

Table of contents

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[51.] SCHOLIVM.
Page: 66 (46)
[52.] THEOREMA 13. PROPOSITIO 15.
Page: 66 (46)
[53.] LEMMA.
Page: 69 (49)
[54.] COROLLARIVM.
Page: 69 (49)
[55.] THEOREMA 14. PROPOSITIO 16.
Page: 69 (49)
[56.] COROLLARIVM.
Page: 70 (50)
[57.] THEOREMA 15. PROPOSITIO 17.
Page: 70 (50)
[58.] LEMMA.
Page: 72 (52)
[59.] SCHOLIVM.
Page: 72 (52)
[60.] THEOREMA 16. PROPOSITIO 18.
Page: 72 (52)
[61.] THEOREMA 17. PROPOSITIO 19.
Page: 73 (53)
[62.] SCHOLIVM.
Page: 74 (54)
[63.] THEOREMA 18. PROPOSITIO 20.
Page: 75 (55)
[64.] SCHOLIVM.
Page: 75 (55)
[65.] Linea horæ 24. ab ortu vel occaſu. Vel horizontalis linea.
Page: 76 (56)
[66.] Linea horæ 12. ab ortu vel occaſu.
Page: 76 (56)
[67.] Linea horæ ſextæ à meridie vel media nocte.
Page: 77 (57)
[68.] Linea horæ 12. à meridie vel media nocte.
Page: 77 (57)
[69.] Linea horæ 23. ab ortu vel occaſu.
Page: 81 (61)
[70.] Linea horæ 22. ab ortu vel occaſu.
Page: 81 (61)
[71.] Linea horæ 21. ab ortu vel occaſu.
Page: 82 (62)
[72.] Linea horæ 20. ab ortu vel occaſu.
Page: 82 (62)
[73.] Linea horæ 19. ab ortu vel occaſu.
Page: 83 (63)
[74.] Linea horæ 18. ab ortu vel occaſu.
Page: 83 (63)
[75.] Linea horæ 17. ab ortu vel occaſu.
Page: 84 (64)
[76.] Linea horæ 16. ab ortu vel occaſu.
Page: 84 (64)
[77.] Linea horæ 15. ab ortu vel occaſu.
Page: 85 (65)
[78.] Linea horæ 14. ab ortu vel occaſu.
Page: 85 (65)
[79.] Linea horæ 13. ab ortu vel occaſu.
Page: 86 (66)
[80.] In horologio, quod circulo horæ 13. ab ortu vel occaſu æquidiſtat, lineæ quarumlibet duarum horarum huius tabu læ ſunt, ex ſcholio propoſ. 22. parallelæ.
Page: 86 (66)
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            deſcendat deorſum. </s>
            <s xml:id="echoid-s2499" xml:space="preserve">Hoc enim inſtrumento facile Ellipſim deſcribemus, ſi eius cruribus dilatatis, frusta
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            illa ſtatuantur in punctis inuentis F, & </s>
            <s xml:id="echoid-s2500" xml:space="preserve">G, ita vt recta ſint ad planũ, filum{q́ue} cir cũponamus, vt ſupra dixi-
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            <s xml:id="echoid-s2501" xml:space="preserve">Sed quoniã filũ intenditur ſemper & </s>
            <s xml:id="echoid-s2502" xml:space="preserve">remittitur aliquantulũ, multo accuratius Ellipſis deſcribetur,
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            ingenij, at que doctrinæ præstantia, quàm generis nobilitate clariſſimus, in Theorica planiſphęriorum vni-
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            <s xml:id="echoid-s2505" xml:space="preserve">INSTRVMENTV Minſtar circini in proxima figura eſt S T V, cuius crura reſecta ſunt in T,
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            & </s>
            <s xml:id="echoid-s2506" xml:space="preserve">V, fruſta autẽ abſciſſa T a, V b, ita aptata in T, & </s>
            <s xml:id="echoid-s2507" xml:space="preserve">V, vt liberè hinc inde moueri poſſint, & </s>
            <s xml:id="echoid-s2508" xml:space="preserve">cochleo-
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            lis astringi. </s>
            <s xml:id="echoid-s2509" xml:space="preserve">Canaliculi autem ſunt in X, & </s>
            <s xml:id="echoid-s2510" xml:space="preserve">Y, in quibus filũ X Y f, cir cumuoluitur. </s>
            <s xml:id="echoid-s2511" xml:space="preserve">ſtylus denique eſt d e,
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            canaliculũ etiã habens in f, vt circa filum extentum commodè poſſit cir cumagi, ita vt filũ ſemper triangu-
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              <note position="left" xlink:label="note-0057-01" xlink:href="note-0057-01a" xml:space="preserve">10</note>
            lum conſtituat angulos habens in canaliculis circini, & </s>
            <s xml:id="echoid-s2512" xml:space="preserve">ſtyli, cuiuſmodi in figura est triangulũ X Y f. </s>
            <s xml:id="echoid-s2513" xml:space="preserve">Solũ
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            ſtylo poſito in A, vel B, triangulũ non conſtituitur, ſed linea recta. </s>
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            eſſe debent, & </s>
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          <head xml:id="echoid-head41" xml:space="preserve">THEOREMA 7. PROPOSITIO 9.</head>
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            <s xml:id="echoid-s2518" xml:space="preserve">CIRCVLI maximi in ſphęra, quorum vnus ſit Meridianus, per po-
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              <note position="right" xlink:label="note-0057-02" xlink:href="note-0057-02a" xml:space="preserve">Circuli horarũ
                <lb/>
              a meridie vel
                <lb/>
              media nocte
                <lb/>
              qui ſint.</note>
            los Aequatoris incedentes, ſecantesq́; </s>
            <s xml:id="echoid-s2519" xml:space="preserve">parallelum, qui Horizontẽ tangit,
              <lb/>
            eſtq́; </s>
            <s xml:id="echoid-s2520" xml:space="preserve">parallelorum ſemper apparentium maximus, in partes 24. </s>
            <s xml:id="echoid-s2521" xml:space="preserve">æquales,
              <lb/>
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            indicant horas æquales à meridie, vel media nocte initium habentes.</s>
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          <note position="left" xml:space="preserve">30</note>
          <note position="left" xml:space="preserve">40</note>
          <note position="left" xml:space="preserve">50</note>
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            <s xml:id="echoid-s2523" xml:space="preserve">SECENT parallelum A B C D, cuius centrum E, omnium ſemper apparentiũ maximum,
              <lb/>
            quiq́; </s>
            <s xml:id="echoid-s2524" xml:space="preserve">tangit Horizontem F G, (tangit inquam in puncto, in quo recta H I, communis ſectio plani
              <lb/>
            Horizontis, & </s>
            <s xml:id="echoid-s2525" xml:space="preserve">plani circuli A B C D, tangit quoque, per definitionem lib. </s>
            <s xml:id="echoid-s2526" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2527" xml:space="preserve">Theodoſii, & </s>
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            zontem F G, & </s>
            <s xml:id="echoid-s2529" xml:space="preserve">circulum A B C D,) circuli maximi, quorũ vnus ſit Meridianus, per polos Aequa-
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            toris, ac proinde & </s>
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            <s xml:id="echoid-s2531" xml:space="preserve">1. </s>
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