Newton, Isaac - Philosophia naturalis principia mathematica

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1dem recta per medium omnium Eq, eQ, MK; (per Lem. XXIII)
& medium rectæ MKeſt centrum Sectionis.

DE MOTU
CORPORUM

PROPOSITIO XXVII. PROBLEMA XIX.

Trajectoriam deſcribere quæ rectas quinque poſitione datas continget.

Dentur pofitione tangentes ABG, BCF, GCD, FDE, EA.
Figuræ quadrilateræ ſub quatuor quibuſvis contentæ ABFEdia
gonales AF, BEbiſeca, & (per Corol. 3. Lem. XXV) recta MN
per puncta biſectionum acta tranſibit per centrum Trajectoriæ.
Rurſus Figuræ quadrilateræ BGDF,ſub aliis quibuſvis quatuor

60[Figure 60]
tangentibus contentæ, diagonales (ut ita dicam) BD, GFbi
ſeca in P& Q:& recta PQper puncta biſectionum acta tranſ
ibit per centrum Trajectoriæ. Dabitur ergo centrum in concurſu bi
ſecantium. Sit illud O.Tangenti cuivis BCparallelam age KL,
ad eam diſtantiam ut centrum Oin medio inter parallelas locetur,
& acta KLtanget Trajectoriam deſcribendam. Secet hæc tan-

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