Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1
Corol.Hinc recta duci poteſt cujus partes longitudine datæ rectis
tribus poſitione datis interjacebunt.
Concipe Triangulum DEF,
puncto Dad latus EFaccedente, & lateribus DE, DFin di­
rectum poſitis, mutari in lineam rectam, cujus pars data DErec­
tis poſitione datis AB, AC,& pars data DFrectis poſitione da­
tis AB, BCinterponi debet; & applicando conſtructionem præ­
cedentem ad hunc caſum ſolvetur Problema.
LIBER
PRIMUS.
PROPOSITIO XXVIII. PROBLEMA XX.
Trajectoriam ſpecie & magnitudine datam deſcribere, cujus partes da­
tæ rectis tribus poſitione datis interjacebunt.
Deſcribenda ſit Trajectoria quæ ſit ſimilis & æqualis Lineæ cur­
DEF,quæque a rectis tribus AB, AC, BCpoſitione datis, in
67[Figure 67]
partes datis hujus partibus DE& EFſimiles & æquales ſeca­
bitur.
Age rectas DE, EF, DF,& trianguli hujus DEFpone an­
los D, E, Fad rectas illas poſitione datas (per Lem. XXVI) Dein
circa triangulum deſcribe Trajectoriam Curvæ DEFſimilem &
æqualem. q.E.F.

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