Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N26072" type="main">
              <s id="N2608B">
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              circulum, & quæ propiùs accedunt ad C minùs curuam, quæ propiùs
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              ad P magis curuam; ſed tractatu ſequenti omnes iſtas lineas explica­
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              bimus. </s>
            </p>
            <p id="N26098" type="main">
              <s id="N2609A">Nonò, ſi ſuperficies ſit minoris circuli quàm dupli; </s>
              <s id="N2609E">certè punctum C,
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              v.g. non deſcribet rectum CK, ſed aliam curuam ſiniſtrorſum; ſi verò
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              ſit maioris circuli quàm dupli, deſcribet aliam curuam dextrorſum, quæ
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              omnia conſtant ex dictis. </s>
            </p>
            <p id="N260AA" type="main">
              <s id="N260AC">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N260B8" type="main">
              <s id="N260BA">Non videntur omittenda aliqua Corollaria Cyclomètrica, quæ ex di­
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              ctis ſua ſponte naſci videntur; </s>
              <s id="N260C0">nam primò ſemicirculus AQG eſt æqua­
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              lis triangulo mixto ex arcubus GC, & GA, & recta AC; quia quadrans
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              AGC eſt æqualis circulo A9.CB, vt patet. </s>
            </p>
            <p id="N260C8" type="main">
              <s id="N260CA">Secundò, omnes radij eodem modo ſecantur à circulo v.g. AC, AD.
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              AE: ſunt enim CVE
                <foreign lang="grc">ω</foreign>
              , D4.æquales, item C 3. T, VE9. &c. </s>
            </p>
            <p id="N260D6" type="main">
              <s id="N260D8">Tertiò, omnes arcus intercepti inter radios ſunt æquales v.g. DY, C 4.
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              T4. E4. GF, F9.9
                <foreign lang="grc">δ. </foreign>
              </s>
              <s id="N260E3">&c. </s>
            </p>
            <p id="N260E6" type="main">
              <s id="N260E8">Quartò, præterea arcus à puncto contactus maioris, & dupli circuli
                <lb/>
              vſque ad quemlibet radium ſunt æquales, v.g. G9, A & GC, G9.
                <foreign lang="grc">δ</foreign>
              GD,
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              G9. & GE, GF, & GC, tùm FR, & FC, F
                <foreign lang="grc">β</foreign>
              , & FD, F
                <foreign lang="grc">ω</foreign>
              & FE, tùm ET,
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              & EC, E 4. & ED; denique DV, DC. </s>
            </p>
            <p id="N26101" type="main">
              <s id="N26103">Quintò, triangula illa mixta ex duplici arcu æquali maioris, & minoris
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              circuli, & altero latere recto, ſunt æqualia ſectionibus minoribus circuli,
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              quarum arcus æquales ſunt prioribus minoris circuli, ſic triangulum
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              mixtum ex arcubus GC, G9. A, & recta AE eſt æquale ſemicirculo G9.
                <lb/>
              A; </s>
              <s id="N2610F">mixtun verò ex arcubus FC, FR, & recta RC, eſt æquale ſectioni VA
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              vel E9. A, mixtum ex arcubus ET, EC & recta, æquale eſt ſectioni TA
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              vel 9.
                <foreign lang="grc">δ</foreign>
              A; denique mixtum ex arcu DC, DV, & recta CV eſt æquale
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              ſectioni RA. </s>
            </p>
            <p id="N2611D" type="main">
              <s id="N2611F">Sextò ſubtracto ex prædictis triangulis alio triangulo mixto per da­
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              tum radium quemcumque, ſubtrahitur portio æqualis ex ſemicirculo
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              minore, & reſiduum æquale eſt reſiduo v.g.ex triangulo mixto G9. AC
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              G ducto radio AF, detrahitur triangulum mixtum GF
                <foreign lang="grc">ρ</foreign>
              , ex ſemicir­
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              culo A9. C, detrahitur portio æqualis 7. A; </s>
              <s id="N2612F">igitur reſiduum ſemicirculi
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              eſt æquale reſiduo trianguli mixti; </s>
              <s id="N26135">deinde ducto radio AC detrahitur
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              triangulo mixto prædicto aliud mixtum minus GE9. ex ſemicirculo A
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              9. C detrahitur portio A9. æqualis detracto; igitur Trapezus reſiduus, E
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              9. A 7. E, eſt æqualis triangulo mixto CA9. C. idem dico de aliis. </s>
            </p>
            <p id="N2613F" type="main">
              <s id="N26141">Septimò, cùm ſector AFG ſit æqualis quadranti AP9. ſectio ACZ,
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              eſt maior quadrante prædicto triangulo mixto GCF vel ſectiore 7. A; </s>
              <s id="N26147">
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              atqui ſectio ACZ habet arcum 135. & A 7. arcum 90. igitur ſectio ar­
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              cus 135. eſt æqualis quadranti plus ſectione arcus; </s>
              <s id="N2614E">igitur triangulum A
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              7.4.A eſt æquale quadranti; triangulum verò mixtum GCA eſt æquale
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              quadranti, minùs prædicta ſectione arcus 90. </s>
            </p>
            <p id="N26156" type="main">
              <s id="N26158">Octauò, hinc triangulum mixtum ex arcubus A 7.9. GG & recta AG </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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