Philosophiae naturalis principia mathematica . eam complendo folvetur Problema. Q^E. F. Corol. Hinc recla duci poteftcujusparteslongitudinedatse reclistribus pofitione datis interjacebunt. Concipe Triangulum D E F,punclo D ad latus EFaccedente, & lateribus DE, DFindi-reclum pofitis, mutari in lineam re$;Cpokicne datis, in O par- r. ps ] partes datis hujus partibus DE&cEF fimiles & aequales fecabitur»Age redas Z)E,EF,F>F, & trianguli hujus DEFpone angu-. ios F>, £, F ad reclas illas pofitione datas: ( per Lem. XXVI j)Dein circa triangulum defcribe Trajecloriam curvae D E F fimi-lem Sc aeq
Philosophiae naturalis principia mathematica . eam complendo folvetur Problema. Q^E. F. Corol. Hinc recla duci poteftcujusparteslongitudinedatse reclistribus pofitione datis interjacebunt. Concipe Triangulum D E F,punclo D ad latus EFaccedente, & lateribus DE, DFindi-reclum pofitis, mutari in lineam re$;Cpokicne datis, in O par- r. ps ] partes datis hujus partibus DE&cEF fimiles & aequales fecabitur»Age redas Z)E,EF,F>F, & trianguli hujus DEFpone angu-. ios F>, £, F ad reclas illas pofitione datas: ( per Lem. XXVI j)Dein circa triangulum defcribe Trajecloriam curvae D E F fimi-lem Sc aequalem. QJL. F. Lemma XXVII. Trape%ium fpecie datum defcribere cujtts angidi ad reStaf quatuor po~ fitione datas (. qtiae neq\ omnes paralleU fnnt^ neq, ad commune punSlum coni>ergunt j) fingidi adfmgidas confifient. Dentur pontione recbe quatuor^BC, AD7 BF>,CE, qua- rum prima fecet fecundam in A, tertiam in £>, Sc quartam in C: & defcribendum l7t Trapezium fg h i quod fit Trapezio FGHI fimile, &c cujus angulus f,angulo dato F aequalis,tangat reclam^- B C, csteriq; anguli g, 6, i carteris angulis datis G, H, I aequales tangant caeteras lineas AD^ BD^ CE refpeclive. Jungatur FH, & fuper FG^ FH, FI defcribantur totidem circulorum fegmenta FSG, FTH, FVI-s quorum primumFSGcapiatangulumaequa- lem angulo BADy fecundum FTH capiat angulum xqualem an- gulo C B E; ac tertium F VI capiat angulum aequalem angulo A C- E. E. Defcribl autem
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