Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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DE MOTU
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CORPORUM</
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LEMMA XXVII.
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Trapezium ſpecie datum deſcribere cujus anguli ad rectas quatuor po
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ſitione datas, quæ neque omnes parallelæ ſunt, neque ad commune
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punctum convergunt, ſinguli ad ſingulas conſiſtent.
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>Dentur poſitione rectæ quatuor
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ABC, AD, BD, CE,
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qua
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rum prima ſecet ſecundam in
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A,
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tertiam in
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B,
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& quartam in
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C:
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& deſcribendum ſit Trapezium
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fghi
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quod ſit Trapezio
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FGHI
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ſimile, & cujus angulus
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f,
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angulo dato
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F
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æqualis, tangat rectam
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ABC,
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cæterique anguli
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g, h, i,
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cæteris angulis datis
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G, H, I
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æqua
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les, tangant cæteras lineas
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AD, BD, CE
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reſpective. </
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FH
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& ſuper
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FG, FH, FI
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deſcribantur totidem circulorum ſeg
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menta
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FSG, FTH, FVI
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; quorum primum
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FSG
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capiat angu-</
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