Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              arcu, cuius ratio conſtat clariſſimè ex dictis, quia dum mobile mouea­
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              tur in perpendiculo ſingulis inſtantibus nouum impetum æqualem pri­
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              mo producit, in arcu verò minorem; </s>
              <s id="N23DD8">igitur minor eſt motus; </s>
              <s id="N23DDC">igitur mi­
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              nus ſpatium eodem tempore percurritur in arcu, & maius in perpendi­
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              culo; </s>
              <s id="N23DE4">igitur non percurruntur 11. tantùm in perpendiculo eo tempore
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              quo 11. percurruntur in arcu; quantum verò ſpatium in perpendiculo
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              percurratur eo tempore, quo arcus quadrantis dati conficitur, determi­
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              nabimus infrà. </s>
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              <s id="N23DF0">Denique obſeruabis, ex hoc etiam poſſe concludi omnes vibrationes
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              eiuſdem funependuli non eſſe æquè diuturnas; </s>
              <s id="N23DF6">nam reuerà ſi æquè diu­
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              turnæ eſſent, & nongentæ numeratæ eſſent ſpatio 15. minutorum; </s>
              <s id="N23DFC">haud
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              dubiè ſingulæ ſingulis ſecundis minutis reſponderent; igitur eo tempore,
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              quo tres ſpatij pedes decurrerentur in perpendiculo, in quadrantis arcu
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              4. 3/7 conficerentur, quod fieri non poteſt. </s>
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                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              14.
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              </s>
            </p>
            <p id="N23E14" type="main">
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              In aſcenſu vibrationis funependuli deſtruitur impetus
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              ; patet, quia deſinit
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              motus; </s>
              <s id="N23E21">igitur & impetus, ne ſit fruſtrà; </s>
              <s id="N23E25">præterea applicatum eſt princi­
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              pium deſtructionis impetus; </s>
              <s id="N23E2B">igitur deſtruitur; antecedens ex dicendis
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              infra clariſſimum euadet. </s>
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              <s id="N23E33">Deſtruitur autem impetus propter impetum innatum, qui ſingulis in­
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              ſtantibus contranititur; </s>
              <s id="N23E39">quemadmodum enim in motu violento ſurſum
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              ideo deſtruitur impetus ab innato, quia hic eſt determinatus ad lineam
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              deorſum; </s>
              <s id="N23E41">ille verò ſurſum, ex quo determinatio mixta oritur; </s>
              <s id="N23E45">vnde ali­
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              quid impetus deſtruitur, ne ſit fruſtrà; idem prorſus dicendum eſt in aſ­
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              cenſu per arcum. </s>
            </p>
            <p id="N23E4D" type="main">
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                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              15.
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              </s>
            </p>
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              Singulis inſtantibus inæqualiter deſtruitur impetus in aſcenſu illo vibratio­
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              nis
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              ; prob. </s>
              <s id="N23E6A">quia ſingulis inſtantibus mutatur determinatio, id eſt ratio
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              plani inclinati; </s>
              <s id="N23E70">nam quodlibet punctum arcus, vt ſæpè dictum eſt, facit
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              planum inclinatum diuerſum; </s>
              <s id="N23E76">igitur lineæ vtriuſque determinationis
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              faciunt diuerſum angulum; </s>
              <s id="N23E7C">igitur determinatio noua mixta diuerſa eſt;
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              igitur plùs vel minùs impetus deſtruitur, quia plùs vel minùs eſt fruſtrà,
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              quod ex dicendis patebit. </s>
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            <p id="N23E84" type="main">
              <s id="N23E86">
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              Theorema
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              16.
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              </s>
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            <p id="N23E92" type="main">
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              Deſtruitur impetus in ſingulis punctis iuxta rationem ſinuum rectorum ar­
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              cuum inferiorum
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              v.g. ſit arcus aſcenſus DIO, ſitque mobile pendulum in
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              H; </s>
              <s id="N23EA3">impetus qui deſtruitur in H, eſt ad impetum qui deſtruitur in per­
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              pendiculari ſurſum (ſuppoſito ſcilicet
                <expan abbr="tẽpore">tempore</expan>
              ) vt ſinus HC ad ſinum HA; </s>
              <s id="N23EAD">
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              nam deſtruitur in ea ratione, iuxta quam deſtrueretur in plano inclinato
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              EH; </s>
              <s id="N23EB4">ſed in planis inclinatis iuxta prædictam rationem impetum deſtrui
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              demonſtratum eſt ſuo loco; </s>
              <s id="N23EBA">adde quod impetus innatus determinat mo­
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              bile ad lineam deorſum HG, alius verò ad lineam HM; </s>
              <s id="N23EC0">atqui ſi eſſent
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              duo gradus impetus, quorum alter eſſet determinatus per HM, alter per </s>
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          </chap>
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