Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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dem recta per medium omnium
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Eq, eQ, MK
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; (per Lem. </
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& medium rectæ
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MK
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eſt centrum Sectionis. </
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DE MOTU
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CORPORUM</
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PROPOSITIO XXVII. PROBLEMA XIX.
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Trajectoriam deſcribere quæ rectas quinque poſitione datas continget.
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>Dentur pofitione tangentes
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ABG, BCF, GCD, FDE, EA.
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Figuræ quadrilateræ ſub quatuor quibuſvis contentæ
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ABFE
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dia
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gonales
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AF, BE
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biſeca, & (per Corol. </
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>3. Lem. </
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>XXV) recta
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MN
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per puncta biſectionum acta tranſibit per centrum Trajectoriæ. </
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Rurſus Figuræ quadrilateræ
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BGDF,
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ſub aliis quibuſvis quatuor
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tangentibus contentæ, diagonales (ut ita dicam)
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BD, GF
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bi
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ſeca in
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P
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&
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Q:
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& recta
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PQ
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per puncta biſectionum acta tranſ
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ibit per centrum Trajectoriæ. </
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>Dabitur ergo centrum in concurſu bi
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ſecantium. </
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O.
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Tangenti cuivis
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BC
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parallelam age
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KL,
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ad eam diſtantiam ut centrum
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O
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in medio inter parallelas locetur,
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& acta
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KL
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tanget Trajectoriam deſcribendam. </
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<
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