Monantheuil, Henri de, Aristotelis Mechanica, 1599
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                comprehenſo æquale: ſed & quadratum ex A B æquale eſt quadratis
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                ex
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                prop. 47. lib. 1. </s>
                <s>Eſt enim angulus
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                rectus, cum ſit
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                reliquus trium
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                  <foreign lang="el">a z g, a z b, b z d</foreign>
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                duobus rectis æqualium prop. 13.
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                lib. 1. ſublatis duobus ſemirectis
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                  <foreign lang="el">a z g, b z d</foreign>
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                per coroll. prop. 32. lib. 1.
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                <s id="id.002723">Erunt igitur quadrata ex A B, A C cum rectangulo bis ſub A C,
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                A B comprehenſo maiora quadratis ex
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                  <foreign lang="el">a z, z b</foreign>
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                cum rectangulo
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                bis ſub
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                comprehenſo per quantitatem quadrati ex A C:
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                ſed quadrata ex A B, A C cum rectangulo bis comprehenſo ſub
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                A B, A C ſunt potentia lineæ C A B vtcunque ſectæ in A, id eſt
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                æqualia ſunt quadrato ex C A B prop. 4. lib. 2. & per eandem qua­
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                drata ex
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                  <foreign lang="el">a z, z b</foreign>
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                cum rectangulo bis comprehenſo ſub
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                  <foreign lang="el">a z, z b</foreign>
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                ſunt
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                potentia lineæ
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                  <foreign lang="el">a z b</foreign>
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                vtcunque ſectæ in
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                  <foreign lang="el">z.</foreign>
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                Eſt ergo C A B maior
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                potentia quam
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                  <foreign lang="el">a z b,</foreign>
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                proinde erit & longitudine maior per coroll.
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                è prop. 47. lib. 1. </s>
                <s>Similiter demonſtrabitur de reliquis. </s>
                <s id="id.002725">Eſt ergo maior
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                lororum quantitas in lecto A B C D: quam in lecto
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                  <foreign lang="el">a b d g,</foreign>
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                quod
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                erat demonſtrandum.
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                His ita geometricè demonſtratis, nihil nunc obeſt exquirere, quæ
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                ſit ex hac forma ſecunda in loris parſimonia. </s>
                <s id="id.002727">Cum igitur in lecto A
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                B C D quæ tres ſunt ſecundum longitudinem extenſæ, æquales ſint
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                ſingulæ lateri A C quod eſt ſex pedum: ſimul ſumptæ erunt 18. pe­
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                dum: & reliquæ ſecundum latitudinem ſingulæ ipſi A C æquales,
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                faciunt 9. pedes, ideo omnes ſunt 27. pedes lororum. </s>
                <s id="id.002728">In lecto vero
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                  <foreign lang="el">a b g d</foreign>
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                cum omnes æquales lineæ ſint ipſi
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                  <foreign lang="el">a z,</foreign>
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                & ſit ex
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                  <foreign lang="el">a z</foreign>
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                qua­
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                dratum æquale quadratis ex
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                  <foreign lang="el">a g, & g z</foreign>
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                id eſt 9. & 9. </s>
                <s>Erit igitur
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                18. quadratum ex
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                cuius radix quadrata ferè eſt 4 2/9, quæ per 6.
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                multiplicata facit 25 1/3 qui numerus ſuperatur à 27. per 1 2/3. </s>
                <s>Atque
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                hoc in loris compendium eſt, quod licet exiguum, non contemnen­
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                dum tamen.
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                <s id="id.002729">Et ſic ſemper.]
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                Videtur Ariſtoteles voluiſſe in vno lecto fu­
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                nem vnum eſſe continuum, & per parallelogramma diſpergi atque
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                extendi.
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                <s id="id.002730">Iuxta curuaturas.]
                  <foreign lang="el">ka/myis</foreign>
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                curuatura reſtium vocatur ea
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                pars quæ à foramine ad foramen ipſis extrinſecus applicatur ſpon­
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                dis, parallelogrammorumque à reſtibus ſeu loris effectorum minora
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                efficiunt latera.
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                <s id="id.002731">Sunt enim æqualia latera.]
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                Deinceps ad finem corruptißi­
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