Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              <s id="N25B98">
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              pro quo non eſt noua difficultas; nam eſt prorſus eadem ratio, niſi
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              quod primò debet priùs imprimi motus rectus omnibus partibus erecto
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              cylindro tùm vbi ſeparatur à manu circulariis. </s>
              <s id="N25BA8">Secundò centrum poteſt
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              accedere propiùs ad ſummam extremitatem vel ad imam. </s>
              <s id="N25BAD">Tertiò, aſcendit
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              eò altiùs cylindrus, quò centrum motus orbis accedit propiùs ad ſum­
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              mam extremitatem. </s>
              <s id="N25BB4">Quartò, poteſt extremitas ima impelli duobus mo­
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              dis: </s>
              <s id="N25BBA">primò ſi retrò agitur, ſecundò ſi antè; </s>
              <s id="N25BBE">ſed quia hæc omnia perti­
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              nent ad diuerſos oblongæ haſtæ motus iucundaque militaris illius exer­
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              citationis phœnomena, quorum omnium rationem in ſingulari Theo­
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              remate afferemus; eò totam rem iſtam remittimus. </s>
            </p>
            <p id="N25BC8" type="main">
              <s id="N25BCA">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              14.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N25BD6" type="main">
              <s id="N25BD8">
                <emph type="italics"/>
              Quando globus, ſeu rota voluitur in ſuperficie curua immobili, omnes eius
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              partes mouentur motu mixto ex duobus circularibus, ſcilicet ex motu circula­
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              ri centri, & circulari orbis,
                <emph.end type="italics"/>
              eſt enim motus centri circularis ſi voluatur
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              globus in orbe, hoc eſt in ſuperficie curua; </s>
              <s id="N25BE7">porrò hæc ſuperficies vel eſt
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              conuexa, vel concaua, vel eſt circuli maioris, vel minoris; </s>
              <s id="N25BED">itemque ſi con­
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              caua vel eſt circuli æqualis, vel maioris, vel minoris; igitur ſunt 6. nouæ
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              combinationes, quæ ſi ducantur in 27. habebis 162. ſed quia, ſi eſt con­
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              caua minoris, vel æqualis, non poteſt globus in ea rotari. </s>
              <s id="N25BF7">Hinc ſunt tan­
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              tùm 4. legitimæ combinationes nouæ, quæ ſi ducantur in 27, habebis
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              108; ſed iam ſeorſim rem iſtam conſideremus. </s>
            </p>
            <p id="N25BFF" type="main">
              <s id="N25C01">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              15.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N25C0D" type="main">
              <s id="N25C0F">
                <emph type="italics"/>
              Explicari poſſunt omnia phœnomena rotæ, quæ circa æqualem rotam immo­
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              bilem it a rotatur, vt arcus mobilis, & immobilis decurſi ſint æquales.
                <emph.end type="italics"/>
              </s>
              <s id="N25C18"> Sit rota
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              immobilis centro L, radio AB; ſit alia centro C æqualis priori, quæ ita
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              moueatur, vt ſinguli arcus BE reſpondeant ſingulis arcubus BT, & pun­
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              ctum E tangat in T, D in X, F in D. </s>
              <s id="N25C23">Primò centrum mouetur motu cir­
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              culari, deſcribitque circulum radio AC, ſcilicet duplum circuli immobi­
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              lis ABX. </s>
              <s id="N25C2A">Secundò motus centri eſt duplò maior motu orbis, id eſt eo
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              tempore, quo in ſuperficie conuexa decurſus eſt arcus BT, centrum C
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              confecit arcum CV duplum; cuius phœnomeni ratio clara eſt, quia ſci­
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              licet centrum C diſtat ſemper ab A toto radio AC duplo AB. </s>
            </p>
            <p id="N25C35" type="main">
              <s id="N25C37">Tertiò poteſt deſcribi linea, quam punctum B ſuo fluxu deſcribit;
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              ducatur ſemicirculus CVT; diuidatur in 12. partes æquales ductis radiis
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              AC, AL, AV &c.qui ſecant circulum ABX in punctis YZ
                <foreign lang="grc">δγ</foreign>
              &c. </s>
              <s id="N25C43">tùm
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              ex punctis, quæ terminant ductos radios in ſemicirculo CVT deſcri­
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              bantur circuli radio CB; haud dubiè tangent hi circuli circulum ABX
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              in punctis YZ
                <foreign lang="grc">δγ</foreign>
              &c. </s>
              <s id="N25C51">denique accipiatur arcus YG æqualis YB, tùm
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              ZH æqualis ZB, tùm
                <foreign lang="grc">δ</foreign>
              I æqualis
                <foreign lang="grc">δ</foreign>
              B, atque ita deinceps, & per puncta
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              BGHIK. &c. </s>
              <s id="N25C60">ducantur curua BGLMOQS, atque idem fiat ſini­
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              ſtrorſum, & habebitur linea, quam ſuo fluxu deſcribit punctum B; </s>
              <s id="N25C66">quod
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              breuiter demonſtratur, quia quando centrum C eſt in L, decurrit arcum
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              CL ſubduplum CV; </s>
              <s id="N25C6E">igitur tangit in
                <foreign lang="grc">δ</foreign>
              ; </s>
              <s id="N25C76">igitur decurrit B
                <foreign lang="grc">δ</foreign>
              ſubduplum
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              BT; </s>
              <s id="N25C80">igitur circa centrum C motu orbis conuerſus eſt arcus ſubduplus </s>
            </p>
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