Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

Table of contents

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[141.] VII.
[142.] VIII.
[143.] IX.
[145.] XI.
[146.] XII.
[147.] XIII.
[148.] FINIS.
[149.] BREVIS INSTITUTIO DE USU HOROLOGIORUM AD INVENIENDAS LONGITUDINES.
[150.] Adr. Metius in Geographicis Inſtitutionibus Cap. 4.
[151.] Fournier in Hydrographia 1. 12. C. 35.
[152.] Didericus Rembrantz a Nierop in Animadverſionibus de inveniendis longitudinibus.
[153.] BREVIS INSTRUCTIO DE USU HOROLO-GIORUM AD INVENIENDAS LONGITUDINES. I.
[154.] II.
[155.] III.
[156.] IV.
[157.] V. Reducere horologia ad rectam dierum menſuram vel cogno-ſcere quanto citius vel tardius ſpatio 24 horarum movean-tur.
[158.] VI. Ope Horologiorum mari invenire longitudinem loci in quo verſaris.
[159.] VII. Mari invenire horam diei.
[160.] VIII. Quomodo ex obſervatione ortus & occaſus Solis & ex hora horologiorum longitudo mari inveniri queat.
[161.] IX.
[163.] XI.
[164.] XII.
[165.] FINIS.
[166.] EXCERPTA EX LITERIS DATIS LONDINI {13/23} JANUARII MDCLXV.
[167.] EXCERPTA EX LITERIS HAGÆ CO-MITUM, DIE XXVI. FEBRUAR MDCLXV. DATIS.
[168.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA.
[169.] DE HUGENIANA CENTRI OSCILLATIONIS DETERMINATIONE CONTROVERSIA. I. Obſervationes Abbatis Catelani in propoſitio-nem, quæ fundamentum eſt 4æ. partis tra-ctatus de Pendulis, Hugenii.
[170.] II. Domini Abbatis Catelani Examen Ma-thematicum Centri Oſcillationis.
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          <p>
            <s xml:id="echoid-s4049" xml:space="preserve">
              <pb o="179" file="0255" n="281" rhead="HOROLOG. OSCILLATOR."/>
            modi horologium, fixarum ſtellarum obſervationibus, com-
              <lb/>
              <note position="right" xlink:label="note-0255-01" xlink:href="note-0255-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            poſitum fuerit, methodo illa quam in horologii deſcriptione
              <lb/>
            oſtendimus: </s>
            <s xml:id="echoid-s4050" xml:space="preserve">aliud pendulum ſimplex, hoc eſt, ſphæra plum-
              <lb/>
            bea, aut alia materia gravi conſtans, ex tenui filo religata,
              <lb/>
            juxta ſuſpendenda eſt, motuque exiguo impellenda; </s>
            <s xml:id="echoid-s4051" xml:space="preserve">ac tan-
              <lb/>
            tiſper producenda, aut contrahenda fili longitudo, donec
              <lb/>
            recurſus ejus, per quadrantem horæ, aut ſemiſſem, una feran-
              <lb/>
            tur cum reciprocationibus penduli horologio aptati. </s>
            <s xml:id="echoid-s4052" xml:space="preserve">Dixi
              <lb/>
            autem exiguo motu impellendum pendulum, quia oſcilla-
              <lb/>
            tiones exiguæ, puta 5 vel 6 partium, ſatis æqualia tempora
              <lb/>
            habent, magnæ vero non item. </s>
            <s xml:id="echoid-s4053" xml:space="preserve">Tunc, acceptâ menſurâ di-
              <lb/>
            ſtantiæ, à puncto ſuſpenſionis ad centrum oſcillationis pen-
              <lb/>
            duli ſimplicis; </s>
            <s xml:id="echoid-s4054" xml:space="preserve">eâque, ſi recurſus ſinguli ſcrupula ſecunda
              <lb/>
            valeant, in tres partes divisâ; </s>
            <s xml:id="echoid-s4055" xml:space="preserve">facient hæ ſingulæ longitudi-
              <lb/>
            nem pedis, quem
              <emph style="sc">Horarium</emph>
            in ſuperioribus vocavimus:
              <lb/>
            </s>
            <s xml:id="echoid-s4056" xml:space="preserve">quique, hoc pacto, non ſolum ubique gentium conſtitui
              <lb/>
            poſſit, ſed & </s>
            <s xml:id="echoid-s4057" xml:space="preserve">venturo ævo redintegrari. </s>
            <s xml:id="echoid-s4058" xml:space="preserve">Adeo ut & </s>
            <s xml:id="echoid-s4059" xml:space="preserve">moduli
              <lb/>
            pedum omnium aliorum, ſemel ad hunc proportionibus ſuis
              <lb/>
            expreſſi, certò quoque in poſterum cognoſci poſſint. </s>
            <s xml:id="echoid-s4060" xml:space="preserve">Sicut
              <lb/>
            jam ſupra, pedem Pariſienſem ad hunc horarium eſſe diximus,
              <lb/>
            ut 864 ad 881; </s>
            <s xml:id="echoid-s4061" xml:space="preserve">quod idem eſt ac ſi, poſito prius pede Pa-
              <lb/>
            riſienſi, dicamus tribus hujuſmodi pedibus, cum octo lineis
              <lb/>
            & </s>
            <s xml:id="echoid-s4062" xml:space="preserve">dimidia, conſtitui pendulum ſimplex, cujus oſcillationes
              <lb/>
            ſcrupulis ſecundis horariis reſponſuræ ſint. </s>
            <s xml:id="echoid-s4063" xml:space="preserve">Pes autem Pari-
              <lb/>
            ſienſis ad R henanum, quo in Patria noſtra utuntur, ſe habet
              <lb/>
            ut 144 ad 139; </s>
            <s xml:id="echoid-s4064" xml:space="preserve">hoc eſt, quinque lineis ſuis diminutus, al-
              <lb/>
            terum illum relinquit. </s>
            <s xml:id="echoid-s4065" xml:space="preserve">Atque ita & </s>
            <s xml:id="echoid-s4066" xml:space="preserve">hic pes, & </s>
            <s xml:id="echoid-s4067" xml:space="preserve">alii quilibet,
              <lb/>
            perpetuo duraturas menſuras accipiunt.</s>
            <s xml:id="echoid-s4068" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4069" xml:space="preserve">Quomodo autem centrum oſcillationis in ſphæra, ex
              <lb/>
            qualibet longitudine ſuſpenſa, inveniatur, in ſuperioribus
              <lb/>
            demonſtratum eſt. </s>
            <s xml:id="echoid-s4070" xml:space="preserve">Nempe, ſi fiat ut diſtantia inter punctum
              <lb/>
            ſuſpenſionis & </s>
            <s xml:id="echoid-s4071" xml:space="preserve">ſphæræ centrum, ad ſemidiametrum ejus,
              <lb/>
            ita hæc ad aliam; </s>
            <s xml:id="echoid-s4072" xml:space="preserve">ejus duas quintas, à centro deorſum ac-
              <lb/>
            ceptas, terminari in quæſito oſcillationis centro. </s>
            <s xml:id="echoid-s4073" xml:space="preserve">Facile au-
              <lb/>
            tem apparet cur neceſſaria ſit hujus centri conſideratio, ad
              <lb/>
            accuratam pedis Horarii conſtitutionem. </s>
            <s xml:id="echoid-s4074" xml:space="preserve">Nam, ſi à </s>
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