Monantheuil, Henri de, Aristotelis Mechanica, 1599

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              <p type="main">
                <s id="id.000786">
                  <pb xlink:href="035/01/084.jpg" pagenum="44"/>
                  <emph type="italics"/>
                turam: eadem ſit motus in minore circulo ſecundum naturam ad
                  <lb/>
                ſuum motum præter naturam: at hæc analogia tantum reperiri po­
                  <lb/>
                teſt, ſi cum
                  <emph.end type="italics"/>
                  <foreign lang="el">x</foreign>
                  <emph type="italics"/>
                delatum eſt in
                  <emph.end type="italics"/>
                  <foreign lang="el">q,</foreign>
                  <emph type="italics"/>
                intelligatur etiam
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                delatum in
                  <emph.end type="italics"/>
                  <foreign lang="el">h,</foreign>
                  <lb/>
                  <emph type="italics"/>
                à quo
                  <emph.end type="italics"/>
                  <foreign lang="el">h</foreign>
                  <emph type="italics"/>
                eſt perpendicularis
                  <emph.end type="italics"/>
                  <foreign lang="el">h k</foreign>
                  <emph type="italics"/>
                in diametrum
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                metiens motum
                  <lb/>
                ipſius
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                per peripheriam
                  <emph.end type="italics"/>
                  <foreign lang="el">b h. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Ergo quo tempore
                  <emph.end type="italics"/>
                  <foreign lang="el">x</foreign>
                  <emph type="italics"/>
                delatum eſt ad
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">q,</foreign>
                  <emph type="italics"/>
                eodem
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                delatum erit ad
                  <emph.end type="italics"/>
                  <foreign lang="el">h. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Cæterum eadem vis in vtriſque cir­
                  <lb/>
                culis intelligitur ex æqualitate angulorum ad centrum conſtituto­
                  <lb/>
                rum. </s>
                <s id="id.000787">Æqualis enim eſt angulus
                  <emph.end type="italics"/>
                  <foreign lang="el">b a h</foreign>
                  <emph type="italics"/>
                angulo
                  <emph.end type="italics"/>
                  <foreign lang="el">x a q</foreign>
                . </s>
              </p>
              <p type="main">
                <s id="id.000788">Ab
                  <foreign lang="el">h</foreign>
                enim eſt.]
                  <emph type="italics"/>
                Curuas lineas perpendicularis ſola vt breuiſ­
                  <lb/>
                ſima, quantum fieri poteſt exacte metitur. </s>
                <s id="id.000789">vt ſcribit autem Ptolo­
                  <lb/>
                mæus in lib. de Analemmate, & Simplicius in lib. de Dimenſione,
                  <lb/>
                menſura cuiuſcunque rei debet eſſe ſtata, determinata, & non indefi­
                  <lb/>
                nita. </s>
                <s id="id.000790">Talis autem eſt perpendicularis ad linearum reliquarum dimen­
                  <lb/>
                ſionem.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000791">Eſt ſiquidem vt
                  <foreign lang="el">h k. </foreign>
                ]
                  <emph type="italics"/>
                Triangula enim
                  <emph.end type="italics"/>
                  <foreign lang="el">x q z & b h k</foreign>
                  <emph type="italics"/>
                ſunt
                  <lb/>
                æquiangula. </s>
                <s id="id.000792">Nam, qui anguli ad
                  <emph.end type="italics"/>
                  <foreign lang="el">z & k,</foreign>
                  <emph type="italics"/>
                ſunt recti ex fab. qui vero
                  <lb/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">x & b</foreign>
                  <emph type="italics"/>
                ſunt externus & internus ad eaſdem partes facti à re­
                  <lb/>
                cta
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                incidente in parallelas
                  <emph.end type="italics"/>
                  <foreign lang="el">x q, b h</foreign>
                  <emph type="italics"/>
                prop. 3. lib. 6. </s>
                <s>Nam
                  <emph.end type="italics"/>
                  <foreign lang="el">x q</foreign>
                  <lb/>
                  <emph type="italics"/>
                proportionaliter ſecat
                  <emph.end type="italics"/>
                  <foreign lang="el">a b & a h</foreign>
                  <emph type="italics"/>
                latera trianguli
                  <emph.end type="italics"/>
                  <foreign lang="el">b a h. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Sunt enim
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">a x, a q</foreign>
                  <emph type="italics"/>
                æquales radj,
                  <emph.end type="italics"/>
                &
                  <foreign lang="el">x b, q h</foreign>
                  <emph type="italics"/>
                item æquales lineæ, quia re­
                  <lb/>
                liquæ ex æqualibus radijs
                  <emph.end type="italics"/>
                  <foreign lang="el">a b, a h</foreign>
                :
                  <emph type="italics"/>
                habent autem æquales ad
                  <lb/>
                æquales eandem rationem. </s>
                <s>Eſt igitur
                  <emph.end type="italics"/>
                  <foreign lang="el">x q</foreign>
                  <emph type="italics"/>
                parallela baſi
                  <emph.end type="italics"/>
                  <foreign lang="el">b h,</foreign>
                  <emph type="italics"/>
                & ſic
                  <lb/>
                anguli qui ad
                  <emph.end type="italics"/>
                  <foreign lang="el">x</foreign>
                  <emph type="italics"/>
                externus, & qui ad
                  <emph.end type="italics"/>
                  <foreign lang="el">b</foreign>
                  <emph type="italics"/>
                internus erunt æquales
                  <lb/>
                prop. 29. lib. 1. </s>
                <s>Ergo & reliqui qui ad
                  <emph.end type="italics"/>
                  <foreign lang="el">q & h</foreign>
                  <emph type="italics"/>
                prop. 32. lib. 1. </s>
                <s>Hæc
                  <lb/>
                igitur duo triangula circa æquales angulos habebunt latera propor­
                  <lb/>
                tionalia prop. 4. lib. 6. </s>
                <s>Sicque erit vt
                  <emph.end type="italics"/>
                  <foreign lang="el">q z</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">x z</foreign>
                :
                  <emph type="italics"/>
                ſic
                  <emph.end type="italics"/>
                  <foreign lang="el">h k</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">k b,</foreign>
                  <lb/>
                  <emph type="italics"/>
                & alternatim vt
                  <emph.end type="italics"/>
                  <foreign lang="el">q z</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">h k</foreign>
                  <emph type="italics"/>
                : ſic
                  <emph.end type="italics"/>
                  <foreign lang="el">x z</foreign>
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                  <foreign lang="el">k b</foreign>
                  <emph type="italics"/>
                prop. 16. lib. 5.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000795">Ob hanc igitur cauſam.]
                  <emph type="italics"/>
                Concluſio qua tandem concludi­
                  <lb/>
                tur punctum à centro diſtantius, vt eadem vi ſit motum, celerius
                  <lb/>
                ferri, id eſt eodem tempore maius loci ſpatium conficere.
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
            <subchap1>
              <p type="main">
                <s id="id.000796">
                  <foreign lang="el">dio/ti de\ ta\ me\n mei/zw zuga\
                    <lb/>
                  a)kribe/stera/ e)sti tw=n e)latto/nwn, fanero\n e)k tou/twn.</foreign>
                </s>
                <s id="g0130102">
                  <foreign lang="el">gi/netai
                    <lb/>
                  ga\r to\ me\n spa/rton ke/ntron.</foreign>
                </s>
                <s id="g0130102a">
                  <foreign lang="el">me/nei ga\r tou=to. </foreign>
                </s>
                <s id="g0130102b">
                  <foreign lang="el">to\ de\ e)pi\
                    <lb/>
                  e(ka/teron me/ros th=s pla/stiggos, ai( e)k tou= ke/ntrou.</foreign>
                </s>
                <s id="g0130103">
                  <foreign lang="el">a)po\ ou)=n
                    <lb/>
                  tou= au)tou= ba/rous a)na/gkh qa=tton kinei=sqai to\ a)/kron th=s
                    <lb/>
                  pla/stiggos, o(/sw| a)\n plei=on a)pe/xh| tou= spa/rtou, kai\ e)/nia
                    <lb/>
                  me\n mh\ dh=la ei)=nai e)n toi=s mikroi=s zugoi=s pro\s th\n ai)/sqhsin
                    <lb/>
                  e)pitiqe/mena ba/rh: e)n de\ toi=s mega/lois, dh=la. </foreign>
                </s>
                <s id="g0130105">
                  <foreign lang="el">ou)qe\n ga\r
                    <lb/>
                  kwlu/ei e)/latton kinhqh=nai me/geqos, h)\ w(/ste ei)=nai th=| o)/yei
                    <lb/>
                  fanero/n.</foreign>
                </s>
              </p>
              <p type="main">
                <s id="id.000797">Quod vero propterea li­
                  <lb/>
                brę maiores minoribus ſint
                  <lb/>
                exactiores,
                  <expan abbr="manifeſtũ">manifeſtum</expan>
                ex his
                  <lb/>
                erit. </s>
                <s id="id.000798">Agina enim fit
                  <expan abbr="centrũ">centrum</expan>
                .
                  <lb/>
                </s>
                <s id="id.000799">Hæc enim quieſcit. </s>
                <s id="id.000800">
                  <expan abbr="vtræq;">vtræque</expan>
                </s>
              </p>
            </subchap1>
          </chap>
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