Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1
LIBER
PRIMUS.
Idem aliter.
Revolvatur tum angulus magnitudine datus CBHcirca polum
B,tum radius quilibet rectilineus & utrinque productus DCcir­
ca polum C.Notentur puncta M, Nin quibus anguli crus BC
ſecat radium illum ubi crus alterum BHconcurrit cum eodem ra­
dio in punctis P& D.Deinde ad actam infinitam MNcon­
51[Figure 51]
currant perpetuo radius ille CPvel CD& anguli crus BC,&
cruris alterius BHconcurſus cum radio delineabit Trajectoriam
quæſitam.
Nam ſi in conſtructionibus Problematis ſuperioris accedat punc­
tum Aad punctum B,lineæ CA& CBcoincident, & linea ABin
ultimo ſuo ſitu fiet tangens BH,atque adeo conſtructiones ibi po­
ſitæ evadent eædem cum conſtructionibus hic deſcriptis. Delinea­
bit igitur cruris BHconcurſus cum radio ſectionem Conicam per
puncta C, D, Ptranſeuntem, & rectam BHtangentem in puncto
B. q.E.F.
Cas.2. Dentur puncta quatuor B, C, D, Pextra tangentem
HIſita. Junge bina lineis BD, CPconcurrentibus in G,tangen-

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