Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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IO. BAPT. BENED.
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                figuris rectilineis tam paris, quàm diſparis numeri. </s>
                <s xml:id="echoid-s1879" xml:space="preserve">Sed aliam quandam maiorem
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                inęqualitatem habent hæ figuræ numeri diſparis, quæ eſt, quòd
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                linea
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                tam
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                quàm ipſi
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                fuerit,
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                ideſt
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                  <var>.t.i.</var>
                cum
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                dictis partibus funis
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                angulos rectos con-
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                ſtituerit,
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                maior ipſa
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                etiam maior ſit ipſa
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                  c.t.</var>
                ) pondus aut vis
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                ipſius
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                ſuperabit
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                quæ eſt ipſius
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                ſed
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                quando
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                erit in oppoſita parte, et
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                in ea, quæ eſt
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                ipſius .t: q.
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                ob cauſam ſuperabit
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                & ſic mo
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                tum faciet irregularem, &
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                vniformem; </s>
                <s xml:id="echoid-s1880" xml:space="preserve">& obid
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                etiam perarduum, præter ictus, quos infligunt an-
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                guli in partem pendentem
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                funis,
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                <s xml:id="echoid-s1881" xml:space="preserve">Aliam inęqualitatem habent figuræ pares, quæ
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                etiam in imparibus cernitur, etſi aliquantulum di-
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                uerſa; </s>
                <s xml:id="echoid-s1882" xml:space="preserve">quæ ab eo oritur, quod funes ſit modò ma-
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                gis, modo minus propinquę centro; </s>
                <s xml:id="echoid-s1883" xml:space="preserve">quæ inæqualis
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                diſtantia, maiorem
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                vim ſuper dictum
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                centrum ob rationes in ſecunda parte cap. decimi
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                huius tractatus propoſitas, gignit. </s>
                <s xml:id="echoid-s1884" xml:space="preserve">Nulla autem
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                ex ijs inæqualitatibus circulari figuræ contingit. </s>
                <s xml:id="echoid-s1885" xml:space="preserve">Illud verò, quod de pentagonis fi-
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                guris dixi, omnibus aliis figuris diſparibus accommodari poteſt.</s>
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                <s xml:id="echoid-s1886" xml:space="preserve">Secundus modus eſt earum rotarum, in quibus aliquod animal incedit, quæ ſi cir-
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                culares non eſſent, tantò difficilius voluerentur, quantò pauciores angulos haberent.
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                </s>
                <s xml:id="echoid-s1887" xml:space="preserve">quod cum per ſe pateat, non demonſtrabo. </s>
                <s xml:id="echoid-s1888" xml:space="preserve">Si ergo quantò plures angulos habebit
                  <lb/>
                dicta figura, tantò ad circunuoluendum hoc modo agilior erit. </s>
                <s xml:id="echoid-s1889" xml:space="preserve">Circularis igitur fi-
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                gura, quæ ex infinitis angulis efficitur, omnium agillima erit.</s>
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                <s xml:id="echoid-s1890" xml:space="preserve">Tertius modus eſt earum rotarum, quæ manubrium habent, quæ etiam quantò
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                pauciores angulos habebunt, tanto
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                difficiliores reddentur, tam ratione inimi
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                citiæ: </s>
                <s xml:id="echoid-s1891" xml:space="preserve">quam exercet cum vacuo natura, quàm
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                , quam anguli aeri faciunt, eum
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                expellendo, vt ipſi occupent locum, quem ipſe
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                implebat. </s>
                <s xml:id="echoid-s1892" xml:space="preserve">Quod nullo modo po
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                teſt euenire circulari figuræ.</s>
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                <s xml:id="echoid-s1893" xml:space="preserve">Nunc nobis ad dicendum reſtat de ſpecie reuolutionis rotarum, quæ parallelæ
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                ſunt orizonri, quibus accidit poſſe volui primo
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                modo ſecundę ſpeciei, & ob
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                id ſi circulares non erunt, eadem ſubibunt incommoda, de quibus in ſecunda illa ſpe
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                cie loquuti ſumus. </s>
                <s xml:id="echoid-s1894" xml:space="preserve">ſed circulares rotæ huius tertiæ ſpeciei ad reuoluendum erunt re-
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                liquis eò faciliores,
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                vno
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                polo nituntur; </s>
                <s xml:id="echoid-s1895" xml:space="preserve">Quod alijs nequaquam conceditur.</s>
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