Newton, Isaac - Philosophia naturalis principia mathematica

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In conſtructione Corollarii hujus poſtquam ducitur LKſecans

CEin i,producere licet iEad V,ut ſit EVad Eiut FHad HI,
& agere Vfparallelam ipſi BD.Eodem recidit ſi centro i,in
tervallo IH,deſcribatur circulus ſecans BDin X,& producatur
iXad Y,ut ſit iYæqualis IF,& agatur Yfipſi BDparallela.

LIBER
PRIMUS.

Problematis hujus ſolutiones alias Wrennus& Walliſiusolim ex
cogitarunt.

PROPOSITIO XXIX. PROBLEMA XXI.

Trajectoriam ſpecie datam deſcribere, quæ a rectis quatuor poſitione
datis in partes ſecabitur, ordine, ſpecie & proportione datas.

70[Figure 70]

Deſcribenda ſit Trajectoria

71[Figure 71]
fghi,quæ ſimilis ſit Lincæ curvæ
FGHI,& cujus partes fg, gh, hi
illius partibus FG, GH, HIſi
miles & proportionales, rectis
AB& AD, AD& BD, BD
& CEpoſitione datis, prima pri
mis, ſecunda ſecundis, tertia ter
tiis interjaceant. Actis rectis FG,
GH, HI, FI,deſcribatur (per
Lem. XXVII.) Trapezium fghi
quod ſit Trapezio FGHIſimile & cujus anguli f, g, h, itangant
rectas illas poſitione datas AB, AD, BD, CE,ſinguli ſingulas
dicto ordine. Dein circa hoc Trapezium deſcribatur Trajectoria
curvæ Lineæ FGHIconſimilis.

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