Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              bile in A, ſitque impetus per AB, & alter æqualis per AD, motus mixtus
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              fiet per AE, aſſumpta ſcilicet DE æquali, & parallela AB, quod probatur
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              per Th.137.l.1. </s>
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            <p id="N1A5E9" type="main">
              <s id="N1A5EB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              2.
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              </s>
            </p>
            <p id="N1A5F8" type="main">
              <s id="N1A5FA">
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              Linea AE eſt diagonalis quadrati, quotieſcumque vterque impetus eſt æ­
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              qualis, & lineæ determinationum decuſſantur ad angulos rectos
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              ; probatur per
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              idem Th.137. </s>
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            <p id="N1A608" type="main">
              <s id="N1A60A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              3.
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              </s>
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            <p id="N1A617" type="main">
              <s id="N1A619">
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              Hinc deſtruitur aliquid impetus
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              ; </s>
              <s id="N1A622">alioquin motus eſſet duplus cuiuſli­
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              bet ſeorſim ſumpti, quod falſum eſt; </s>
              <s id="N1A628">nam motus ſunt vt lineæ ſed diago­
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              nalis quadrati non eſt dupla lateris; hoc etiam probatur per Th. 141.
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              & 142.l.1. </s>
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            <p id="N1A630" type="main">
              <s id="N1A632">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              4.
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              </s>
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              <s id="N1A641">
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              Motus mixtus ex duobus æquabilibus inæqualibus est etiam rectus
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              ; ſit
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              enim mobile in A eadem figura ſitque impetus per AC, & alter ſubdu­
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              plus prioris per AD, motus fiet per AF ducta DF æquali, & parallela AC,
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              quod probatur per Th.137.l.1. </s>
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            <p id="N1A651" type="main">
              <s id="N1A653">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              5.
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              </s>
            </p>
            <p id="N1A660" type="main">
              <s id="N1A662">
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              Linea AF eſt diagonalis rectanguli, quotieſcunque lineæ determinationum
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              decuſſantur ad angulos rectos
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              ; probatur per idem Th.137. </s>
            </p>
            <p id="N1A66E" type="main">
              <s id="N1A670">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              6.
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              </s>
            </p>
            <p id="N1A67D" type="main">
              <s id="N1A67F">
                <emph type="italics"/>
              Hinc deſtruitur aliquid impetus per Th.
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              141. & 142.
                <emph type="italics"/>
              l.
                <emph.end type="italics"/>
              1. idque pro rata
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              ne aliquid ſit fruſtrà per Ax.2. & ſæpè iam probatum eſt. </s>
            </p>
            <p id="N1A68F" type="main">
              <s id="N1A691">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              7.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1A69D" type="main">
              <s id="N1A69F">
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              Hinc determinari poteſt portio vtriuſque impetus destructi,
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              v.g. ſi ſint æ­
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              quales, portio detracta vtrique æqualibus temporibus eſt differentia
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              diagonalis & compoſitæ ex DA, AB, quod clarum eſt; ſi vero impetus
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              ſint inæquales, portio deſtructa erit ſemper differentia diagonalis, v.g.
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              AF & compoſitæ ex AC.AD. </s>
            </p>
            <p id="N1A6B3" type="main">
              <s id="N1A6B5">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              8.
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              </s>
            </p>
            <p id="N1A6C1" type="main">
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              Aliquando impetus qui remanet in motu mixto est rationalis
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              ; </s>
              <s id="N1A6CC">id eſt habet
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              proportionem ad vtrumque, quæ appellari poteſt, aliquando ad neutrum,
                <lb/>
                <expan abbr="aliquãdo">aliquando</expan>
              ad alterutrum; </s>
              <s id="N1A6D7">ad vtrumque v.g. ſi alter impetuum ſit 8.alter 6.
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              haud dubiè linea motus mixti erit 10. ad neutrum vt in diagonali qua­
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              drati, & in multis aliis; </s>
              <s id="N1A6E1">ad alterum denique v. g. ſi alter ſit ſubduplus la­
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              teris æquilateri; alter verò eiuſdem perpendicularis; nam diagonalis, ſeu
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              linea motus mixti erit latus ipſum æquilateri. </s>
            </p>
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              <s id="N1A6EF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              9.
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              </s>
            </p>
            <p id="N1A6FB" type="main">
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              Si lineæ determinationum decuſſentur ad angulum obtuſum, ſintque æqua­
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              les impetus, linea motus mixti erit diagonalis Rhombi
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              ; </s>
              <s id="N1A708">vt patet per Th.140.
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              l.1. poteſt autem hæc diagonalis eſſe vel æqualis alteri laterum, vel ma-</s>
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