Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N25D7F">Nonò, ſi aſſumatur quodlibet punctum intra rotam v.g. punctum
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              X perueniet in A eo tempore, quo B erit in M, vt patet; </s>
              <s id="N25D87">hinc moue­
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              bitur per lineam motus mixti, qui accedit propiùs ad circularem;
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              quemadmodum enim cum rota mouetur in plano rectilineo, punctum
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              illius, quod accedit propiùs ad centrum mouetur eo motu, qui accedit
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              propiùs ad motum centri, id eſt ad motum rectum. </s>
              <s id="N25D93">Similiter punctum,
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              quod accedit propiùs ad Q in hac rota mouetur eo motu, qui accedit
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              propiùs ad motum centri C, id eſt ad motum circularem; igitur hic mo­
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              tus puncti X plùs participat de motu centri, quàm de motu orbis, qui
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              ſcilicet in eo minimus eſt. </s>
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            <p id="N25D9F" type="main">
              <s id="N25DA1">Decimò, hinc ſi motus minoris rotæ radio CX dirigatur à motu ma­
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              ioris radio CB; </s>
              <s id="N25DA7">hæc quidem ita mouetur vt ſingula puncta BE re­
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              ſpondeant ſingulis BT, non tamen ſingula XY ſingulis XB; </s>
              <s id="N25DAD">ſed hic
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              etiam accerſendi ſunt contactus illi inadæquati extremi plùs, minuſue,
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              de quibus ſuprà; eſt enim prorſus eadem difficultas, quam ſuprà diſcuſ­
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              ſimus ſuo titulo rotæ Ariſtotelicæ, quam hîc tantùm indicaſſe ſufficiat,
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              cùm ex prædictis principiis omninò ſoluatur. </s>
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              <s id="N25DBB">Vndecimò ſimiliter, ſi minor rota motum maioris dirigat; </s>
              <s id="N25DBF">haud du­
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              biè maioris idem punctum pluribus punctis ſuperficiei curuæ, cui in­
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              cumbit inadæquato dumtaxat contactu reſpondebit, eritque diuerſa li­
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              nea huius motus, & aliqua puncta retroagentur; </s>
              <s id="N25DC9">quod quomodo fiat,
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              iam ſuprà explicuimus; quod verò ſpectat ad proprietates iſtarum linea­
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              rum, in ſingularem tractatum cas remittimus. </s>
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              <s id="N25DD3">
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              Theorema
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              16.
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              </s>
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              Explicari poſſunt omnia phœnomena, quæ in ſuperficie curua circuli
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              maioris rotatur
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              ; </s>
              <s id="N25DEC">ſit enim ſuperficies curua BF radius AB, ſitque rota
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              radio NB, cuius peripheria eſt æqualis BF; </s>
              <s id="N25DF2">igitur M tanget C, O tan­
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              get D, & B tandem tanget F; igitur mouetur hæc rota motu mixto ex
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              duobus circularibus. </s>
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            <p id="N25DFA" type="main">
              <s id="N25DFC">Primò, ſignari poſſunt omnia puncta huius lineæ v. g. MIHF
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              per quæ ducenda eſt linea curua, cuius etiam affectiones aliàs demon­
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              ſtrabimus. </s>
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              <s id="N25E09">Secundò, punctum B mouetur initio tardiſſimè, O velociſſimè; </s>
              <s id="N25E0D">ratio­
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              nem iam bis attulimus; </s>
              <s id="N25E13">quia ſcilicet maior eſt motus, cum motus centri
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              conuenit cum motu orbis; minor verò è contrario. </s>
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            <p id="N25E19" type="main">
              <s id="N25E1B">Tertiò, motus huius rotæ accedit propiùs ad motum rotæ in plano
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              rectilineo, quàm motus rotæ ſuperioris; quia BF, quæ eſt ſuperficies ma­
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              ioris circuli, accedit propiùs ad lineam rectam. </s>
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            <p id="N25E23" type="main">
              <s id="N25E25">Quartò, ſi ſit minor rota radio NR cuius motus dirigatur à motu
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              maioris radio NB, deſcribit lineam, quæ accedit propiùs ad lineam
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              rectam RSTVX, ſeu potiùs ad motum centri, quod mouetur motu
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              circulari per arcum NG, à quo non recedit, vt patet: </s>
              <s id="N25E2F">porrò minor
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              rota percurrit maiorem ſuperficiem ſua peripheria, quod etiam expli-</s>
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