Monantheuil, Henri de, Aristotelis Mechanica, 1599
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                <s id="id.000740">Deter.
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                Dico D I eſſe maiorem ipſa A K quæ eſt ſegmentum in
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                maiori circulo. </s>
                <s id="id.000741">Ante huius fabricam hoc problema eſt
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                .
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                Deſcribere circulum minorem qui alterum datum maiorem
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                interius tangat.
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                Sit datus circulus A B K C maior, ab A per D centrum reper­
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                tum prop. 1. lib. 3. </s>
                <s>ducatur A k diameter. </s>
                <s id="id.000744">Deſcribendus autem ſit eo
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                minor, cuius accipiatur E
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                inter A & D, & interuallo
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                E A deſcribatur A F G. </s>
                <s>hic
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                tanget interius circulum A B k
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                C datum in puncto A. </s>
                <s id="id.000745">Nam ſi
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                & ſecet, vt in puncto H, ducta
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                H E. </s>
                <s>erit æqualis ipſi E A def.
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                15. lib. 1. non erit igitur E A mi­
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                nima omnium quæ ab E puncto
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                extra D centrum circuli A B
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                K C cadunt in eius concauam pe­
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                ripheriam, quod eſt contra prop.
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                7. lib. 3. </s>
                <s>non erat igitur H punctum commune vtrique circulo, &
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                ſic de alijs. </s>
                <s id="id.000748">Circulus igitur A F G, tangit circulum A B K C
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                in puncto A prop. 11. lib. 3. </s>
                <s>quod oportuit facere.
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                Iam nunc de A G maiori ſemidiametro detrahatur portio A H
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                æqualis D H minori prop. 3. lib. 1. centro H interuallo A H deſ­
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                cribatur circulus A M L poſtul. 3. qui erit æqualis dato D E F.
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                def. 1. lib. 3. </s>
                <s>Et tanget intus circulum A B C in puncto A ex probl.
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                præſumpto. </s>
                <s>per punctum B
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                parallela B M prop. 31. lib. 1.
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                & per eandem parallela M N quæ per 34. lib. eiuſdem cum ſit
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                æqualis ipſi B K erit & æqualis ipſi. </s>
                <s id="id.000754">E I ax. 1. connectantur M H,
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                E H poſt. 1.
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                <s id="id.000757">Demonſt. </s>
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                Poſtquam ax. 3. A N, D I æquales ſunt quia reli­
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                quæ ex æqualibus A H, D H ex fab. demptis æqualibus N H,
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                I H quæ latera ſunt ſub æqualibus angulis duorum triangulorum
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                M N H & I E H habentium duos angulos duobus angulis
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                æquales, & latus lateri æquale vt eſt in 26. prop. lib. 1. </s>
                <s>nempe angu­
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                lus qui ad N rectus eſt prop. 29. lib. 1. & qui ad I, rectus ex hypoth.
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                ideo æquales ax. 10. </s>
                <s>tum angulus M H N ad centrum conſtitutus
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