Monantheuil, Henri de, Aristotelis Mechanica, 1599

Table of figures

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                antè diximus de remi in vna remigatione varijs motibus.
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                <s id="id.001368">Propoſitionis conuerſio</s>
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                Manifeſta eſt, quia ſi remi palmula dimota non fuerit à loco ſuo,
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                ibique tandiu perſiſtat, donec remus ſitum rectitudinis obtineat, tan­
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                tum ſpatium conficiet caput remi motu proprio: quantum nauis.
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                <s id="id.001370">Recta enim C F æqualis eſt A Q prop. 26. lib. 1. </s>
                <s>æqualis etiam
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                B G prop. 34. lib. 1. </s>
                <s>igitur A Q & B G æquales erunt ax. 1.
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                <s id="id.001373">Propoſitio tertia. </s>
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                Capite remi proprio motu conficiente ſpatium duplum ſpatij nauis:
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                tunc nauis tantùm promouebitur, quantùm palmula retrocedet.
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                Remus incipiente motu ſit A C,
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                deſinente vero habeat rectitudinis
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                ſitum F G. </s>
                <s id="id.001376">Et ſic ſcalmus B pro­
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                pter nauis motum conficiet interual­
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                lum B D. </s>
                <s id="id.001377">Excitetur igitur à puncto
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                B in vtramque partem perpendicu­
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                laris E E, prop. 11. lib. 1. </s>
                <s>In quam
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                perpendiculares incidant à punctis
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                A & C, quæ ſint A E, C E prop. 12. lib. 1.
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                <s id="id.001378">Et ſit interuallum A E
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                quod eſt decurſum à capite remi A
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                proprio motu, duplum interualli B
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                D, & recta linea C H reſpondeat
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                curuæ C G à remi palmula deſcri­
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                ptæ. </s>
                <s id="id.001379">Dico rectas lineas B D, C H
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                æquales eſſe. </s>
                <s id="id.001380">Nam triangulorum B
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                A E & C B E rectæ A E, C E prop. 26. lib. 1. & in parallelo­
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                grammo B H rectæ oppoſitæ B D, E H etiam æquales prop. 34.
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                lib. 1. </s>
                <s id="id.001381">Atqui recta A E dupla eſt rectæ B D ex hypotheſi. </s>
                <s id="id.001382">Dupla
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                igitur & C E rectæ H E, quapropter C H & E H æquales
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                erunt ax. 7. </s>
                <s id="id.001383">Et ſic C H & B D æquales ſunt ax. 1. </s>
                <s id="id.001384">Et quia nauis
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                tantum interualli decurrit ſemper: quantum ſcalmus. </s>
                <s id="id.001385">Ex antec. igi­
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                tur ſi caput remi motu proprio duplum confecerit ipſius nauis inter­
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                ualli, tantùm prouehetur nauis: quantùm palmula retrocedet. </s>
                <s id="id.001387">quod
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                demonſtrandum erat.
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