Monantheuil, Henri de
,
Aristotelis Mechanica
,
1599
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ſunt ſimilia, ſunt circa eandem diametrum. </
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">conu prop. 24. lib. 6.
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">Æqualis enim eſt.]
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Quia in ratione æqualitatis motum eſt
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ad
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&
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ad
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">Multò maiorem.]
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Quia
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ſubtendit multò maiorem an
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gulum, vtpote
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obtuſum, & ideò maiorem recto: quam
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quæ
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ſubtendit
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angulum acutum, & ideò etiam minorem recto.
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">Et latus
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]
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Attingit ſecundum problema quod generaliter
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verum non eſt. </
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">In Rhombo enim cuius, qui acutus eſt angulus, maior
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eſt dimidio obtuſi, vt in E
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F G H: quia F H an
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gulum E maiorem ſubten
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dit: quam E H, erit F H
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maior E H prop. 18. lib. 1.
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>Sed verum eſt in certo ca
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ſu, eo nimirum (licet hîc
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non ſit expreſſus ) in quo
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Rhombi acutus eſſet mi
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nor: quam dimidius obtu
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ſi, vt angulus A Rhombi
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A B C D ſit minor: quam dimidius obtuſi B, id eſt quam A B C.
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">Dico latus A C maius eſſe diametro B C per eandem prop. 18.
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ſubtendit enim trianguli A B C maiorem angulum. </
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talem Rhombum conſtitui, patet. </
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">quia angulus acutus ſeruata late
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rum quorumuis aſſumptorum longitudine, infinitè minor fieri poteſt,
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prop. 9. lib. 1. </
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>Ergo & tandem dabitur minor dimidio obtuſi. </
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& dimidius recti, qui acutus eſt, eſt eo minor prop. 15. lib. 5. </
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tali Rhombo latus A B per A C vna latione motum, plus ſpatij
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confecit: quam B, quod peragrans B C duabus lationibus ferebatur.
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">a)/topon ga/r, w(/sper e)le/xqh, to\
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du/o fora\s fero/menon e)ni/ote bradu/teron fe/resqai tou= mi/an,
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kai\ a)mfote/rwn i)sotaxw=n shmei/wn doqe/ntwn, mei/zw diecie/nai
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qa/teron.</
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<
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">ai)/tion de\, o(/ti tou= me\n a)po\ th=s a)mblei/as ferome/nou
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sxedo\n e)nanti/ai a)mfo/terai gi/nontai, h(/n te au)th\
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fe/retai kai\ h(\n u(po\ th=s pleura=s u(pofe/retai. </
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<
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">tou= de\ a)po\
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th=s o)cei/as, w/(sper sumbai/nei fe/resqai e)pi\ to\ au)to/. </
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<
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ga\r h( th=s pleura=s, th\n e)pi\ th=s diame/trou: kai\ o(/sw| a)\n
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th\n me\n o)cute/ran poih/sh|, th\n de\ a)mblute/ran, h( me\n bradute/ra
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e)/stai, h( de\ qa/ttwn.</
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<
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">ai( me\n ga\r e)nantiw/terai gi/nontai,
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dia\ to\ a)mblute/ran gi/nesqai th\n gwni/an. </
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<
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ma=llon e)pi\ ta\ au)ta\, dia\ to\ suna/gesqai ta\s gramma/s.
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<
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">to\ me\n ga\r *a sxedo\n e)pi\ to\ au)to\ fe/retai kat' a)mfote/ras
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ta\s fora/s: sunepouri/zetai ou)=n h( e(te/ra, kai\ o(/sw| a)\n
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o)cute/ra gi/nhtai h( gwni/a, tosou/tw| ma=llon: to\ de\ *a de\ e)pi\
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tou)nanti/on: au)to\ me\n ga\r pro\s to\ *a fe/retai, h( de\ pleura\
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u(pofe/rei au)to\ pro\s to\ *g.</
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<
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">kai\ o(/sw| a)\n a)mblute/ra h( gwni/a
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h)=|, e)nantiw/terai ai( forai\ gi/nontai: eu)qute/ra ga\r h(
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grammh\ gi/netai.</
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<
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">ei) d' o(/lws eu)qei=a ge/noito, pantelw=s a)\n
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ei)/hsan e)nanti/ai. h( de\ pleura\ u(p' ou)qeno\s kwlu/etai mi/an
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ferome/nh fora/n. eu)lo/gws ou)=n th\n mei/zw die/rxetai.</
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<
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">Abſurdum enim, vt
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dictũ
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eſt, quod duabus lationibus
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fertur, tardius
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nonnunquã
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ferri eo, quod vna: &
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datorũ
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rum</
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<
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amborũ
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<
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punctorũ
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æqua
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li celeritate
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motorũ
">motorum</
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<
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alterũ
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<
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maiorẽ
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<
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trãſire
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. </
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