Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

Table of handwritten notes

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            <s xml:id="echoid-s8398" xml:space="preserve">
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            indicat) cùm organi cujuſvis horodeictici, ſatìs accuratè conſtructi,
              <lb/>
            motibus conſentire. </s>
            <s xml:id="echoid-s8399" xml:space="preserve">Talis enim machina è fabrica ſua comparata eſt,
              <lb/>
            ſecundum motûs ſui repetitiones ſuccedaneas, æqualiter moveri;
              <lb/>
            </s>
            <s xml:id="echoid-s8400" xml:space="preserve">_Clepſydram_ puta dimetiendæ diei, vel horæ deſtinatam; </s>
            <s xml:id="echoid-s8401" xml:space="preserve">& </s>
            <s xml:id="echoid-s8402" xml:space="preserve">quoniam
              <lb/>
            in hac aqua, vel arena quoad quantitatem ſuam, & </s>
            <s xml:id="echoid-s8403" xml:space="preserve">ſiguram, vimque
              <lb/>
            deſcendendi prorſus eadem manet; </s>
            <s xml:id="echoid-s8404" xml:space="preserve">nec non vaſculum continens, & </s>
            <s xml:id="echoid-s8405" xml:space="preserve">
              <lb/>
            meatus ipſam tranſmittens haud omnino variantur, tantillo ſaltem
              <lb/>
            tempore, pérque temperiem aeris conſimilem, nec ideò cauſa ſubeſt
              <lb/>
            ulla, cur non æquales in ſingulis eſſluxibus motus obire concedatur; </s>
            <s xml:id="echoid-s8406" xml:space="preserve">
              <lb/>
            ergo ſi compertum ſit, Solares motus, ſeu quoad integras periodos,
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            ſeu quoad partes ipſarum proportionales, organi talis repetitis mo-
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            tibus exquiſitè congruere, meritò pronunciandum eſt, eos prorſus
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            æquabiles, & </s>
            <s xml:id="echoid-s8407" xml:space="preserve">uniformes fore. </s>
            <s xml:id="echoid-s8408" xml:space="preserve">Ex quo diſcurſu liquere videtur, id
              <lb/>
            quod fortè non nemini mirum videatur, cæleſtia corpora non eſſe, ex
              <lb/>
            parte rei propriéque loquendo, primarias & </s>
            <s xml:id="echoid-s8409" xml:space="preserve">originales temporis
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            menſuras; </s>
            <s xml:id="echoid-s8410" xml:space="preserve">aſt illos potius motus, qui prope nos ſenſibus obverſantur,
              <lb/>
            & </s>
            <s xml:id="echoid-s8411" xml:space="preserve">experimentis subjacent noſtris, cùm horum ope cæleſtium motuum
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            regularitatem dijudicemus. </s>
            <s xml:id="echoid-s8412" xml:space="preserve">Nè quidem ipſe Sol temporis idoneus ju-
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            dex, aut teſtis {αυ}{τί}@ς{ος} eſt, niſi quatenus horariæ machinæ ſuſſra-
              <lb/>
            gio veracitatem ſuam adteſtatur. </s>
            <s xml:id="echoid-s8413" xml:space="preserve">Nec ſanè, quod obiter interpono,
              <lb/>
            poteſt ullo pacto ſciri num periodi ſyderum ante multa ſecula tranſcur-
              <lb/>
            ſæ noſtri ſeculi revolutionibus omnino pares fuerint; </s>
            <s xml:id="echoid-s8414" xml:space="preserve">nemo ſcilicet
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            aſſerat certo _Methuſelam_ illum qui tantùm non mille vitæ tranſegit
              <lb/>
            annos, eo fuiſſe reverà μακροβιώ{τε}{ρο}ν qui jam ante centum annos
              <lb/>
            fato cedit. </s>
            <s xml:id="echoid-s8415" xml:space="preserve">Quid enim, ſi Sol tum junior, eóque vegetior decuplo
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            citiùs periodos ſuas evolverat? </s>
            <s xml:id="echoid-s8416" xml:space="preserve">Quid ſi tum aër purior, & </s>
            <s xml:id="echoid-s8417" xml:space="preserve">indè cor-
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            porum gravitas validior eſſecerat, ut vel ipſa organa mechanica
              <lb/>
            citatiores acciperent motus, adeóque cum noſtri temporis inſtrumen-
              <lb/>
            tis comparata fidem ſuam fallerent? </s>
            <s xml:id="echoid-s8418" xml:space="preserve">_Empedocles_ quidem, apud _Plu-_
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            _tarchum,_ exiſtimâſſe dicitur Solem initio dies longè prolixiores eſſe-
              <lb/>
            ciſſe. </s>
            <s xml:id="echoid-s8419" xml:space="preserve">Sed minùs id rationi conſentaneum videtur, quia tales motus{?</s>
            <s xml:id="echoid-s8420" xml:space="preserve">}
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            vertiginoſi ſenſim elangueſcere potiùs ſolent; </s>
            <s xml:id="echoid-s8421" xml:space="preserve">quàm invaleſcere. </s>
            <s xml:id="echoid-s8422" xml:space="preserve">Ve-
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            rum obiter hæc, & </s>
            <s xml:id="echoid-s8423" xml:space="preserve">vix ſeriò; </s>
            <s xml:id="echoid-s8424" xml:space="preserve">revertamur in orbitam. </s>
            <s xml:id="echoid-s8425" xml:space="preserve">Temporis
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            (ſeu permanentiæ rerum in ſuo eſſe, ſtatu, motúve) quantitas, ut
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            dictum eſt, à motu quolibet dignoſcitur, bene notorio, æquabili,
              <lb/>
            (ſeu quoad partes ad hoc adh
              <unsure/>
            ibitas ſibi conſtanter æquali ac ſimili)
              <lb/>
            dein ſecundario è quibuſvis aliis motibus, qui cum illo comparati
              <lb/>
            proportione correſpondent, è cæleſtibus imprimìs, Solis potiſſimùm
              <lb/>
            ac Lunæ. </s>
            <s xml:id="echoid-s8426" xml:space="preserve">Adeò ut æqualia tempora ſint, in quibus eadem clepſydra
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            ſemel ac iterum, vel æquè multis viſibus exhauritur; </s>
            <s xml:id="echoid-s8427" xml:space="preserve">aut in </s>
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